problem stringlengths 254 5.47k | gt stringclasses 10
values | data_source stringclasses 1
value |
|---|---|---|
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A diode (p-n junction) when reverse biased act as
Options:
A. Amplifier
B. On Switch
C. Transformer
D. Resistor
E. Inductor
F. Capacitor
G. ... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
________ is the most detrimental impurity in the magnetic materials
Options:
A. Chromium.
B. Iron.
C. Sulphur.
D. Hydrogen.
E. Silicon.
F. O... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
In a dc machine 6 pole wave winding is used. The number of parallel paths are?
Options:
A. 3
B. 8
C. 5
D. 12
E. 6
F. 4
G. 1
H. 2
I. 10
J. 7
| H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Five capacitors each of 5 µF are connected in series, the equivalent capacitance of the system will be
Options:
A. 15 µF
B. 20 µF
C. 30 µF
D... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The number of rings in the Bohr model of any element is determined by what?
Options:
A. Atomic number.
B. Row number on periodic table.
C. T... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The length of bus cycle in 8086/8088 is four clock cycles, T1, T2, T3, T4 and an indeterminate number of wait state clock cycles denoted by ... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The P, v, T relation of a real gas is represented with reasonable accuracy by the relation v = (RT / P) + b - (a / RT) where a and b are con... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The combustion equation for octane burning in theoretical air (21% O_2 and 79% N_2) is C_8H_18(1) + 12.5O_2 + 12.5(3.76)N_2 \rightarrow 8CO_... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Octane burns in theoretical air (21% O_2, 79% N_2) by the followingcombustion equation: C_8H_18 + 12.5O_2 + 12.5(3.76)N_2= 8CO_2 + 9H_2O + 4... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A cylinder having a volume of 10 ft^3, has a safe working pressure of 500 psig (gage pressure). What is the maximum operating temperature fo... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A compressible gas flows over a flat plate. Properties of the gasare closely similar to those of air. The flow is at a temperatureand pressu... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The temperature inside a Carnot refrigerator is maintained at 5°C by rejecting heat to the surroundings at an ambient temperatureof 27°C. Th... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Water enters a reactor through a length of pipe in which the necessarypreheating is accomplished. The reactor has a maximumpower rating of 1... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Determine the equation of state for a certain hypothetical gas whose thermal coefficient of expansion is \alpha = (1 / V)(\partialV / \parti... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
An equation of state due toDietericiis P(V -nb')exp [na' / (RTV)] =nRT(1) Evaluate the constants a' and b' in terms of the critical constant... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
How many joules are equivalent to one lit-atmof work?
Options:
A. 100.0 joule
B. 105.0 joule
C. 102.0 joule
D. 97.8 joule
E. 106.4 joule
F. ... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The temperature of a tungsten filament of a light bulb is 6000°R.Calculate the energy emitted by the bulb in the visiblewavelength spectrum ... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The temperature of spontaneous solidification for copper is 1,120°K and the melting point is 1,356°K. Calculate the Gibbs free-energy change... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Estimate the pressure which would be exerted by 8.2 lb of CO in a 1-ft^3 container at - 78°F, employing (a) the ideal-gas equation, (b) the ... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A pressure vessel contains an inert gas at a temperature of 140°F and a pressure of 10 atm. The vessel is then heated until the pressure bec... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Water (density) = 62.4 lb/ft^3, viscosity = 0.000672 lb/(ft) (sec) flows in a tube of 0.25 in. bore at a velocity of 1 fps. What is the drop... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The discharge coefficient of a right-angled weir is to be determined over a range of values of upstream head h. To calibrate the weir, the d... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
5 model of a submerged buoy. If the maximum water currents to be expected are 3 fps, what air speed should be used to insure similarity of t... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A model pump has an impeller of 6 in. diameter. When runningat 1200 rpm, the pump delivers 2cfsagainst a head of16 ft. A similar pump is req... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Determine which of the following functions of u and v are possible steady incompressible flow. (a) u =kxy+ y v =kxy+ x (b) u = x^2 + y^2 v =... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A 1,500-kw six-phase synchronous converter has a full-load d-c voltage of 600. Determines (a) the a-c voltage between rings; (b) the d-c out... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A three-wire circuit supplies 500 lamps each taking 1/2 ampere; 275 lamps being on one side of the neutral and 225 on the other side, all at... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
(a) Two single-phase alternators are in parallel and operatingin synchronism. One machine has a sine wave effectivevoltage of 100 volts, the... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the critical angle for an electromagnetic wave passingfrom the following dielectrics into air. Material\epsilon/\epsilon_0(Ratio o... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the homogeneous solution to a differential equation for thevoltagev_C(t) across a (1 / 2)F capacitor in a series RLC circuitwhere R = 4... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Medium 1 has k_1 = 1.5 and extends to the left of theyz plane. Medium 2 hask_2= 2.5 and extends to the right of the yzplane. E_1 = (x̂2 - \^... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find v(0^+) and (dv/dt)_(0)+ if V(s) = [(- 36s^2 - 24s + 2) / (12s^3 + 17s^2 + 6s)]
Options:
A. v(0^+) = 0, (dv/dt)_(0)+ = 1.5
B. v(0^+) = -... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A 250-kw 230-volt compound generator is delivering 800 amp at 230 volts. The shunt-field current is 12 amp. The armature resistance is 0.007... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A certain 110-volt shunt generator has an armature and brush resistance of 0.06 ohm at full load of 85 amperes. The resistance of the shunt ... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The rating of a certain machine from the name-plate is 110 volts, 38.5 amperes, 5h.p. Find the input, output and efficiency at full load.
Op... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the 10 percent and 60 percent depth of penetrations of an electromagnetic wave of amplitude E_y= E_0e^-x/\delta (E_0 is initial amplitu... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
(a) A 4-pole machine has lap winding with 36 winding elements. What are the back and front pitches of this winding, expressed in commutator ... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A factory draws a lagging load of 2000 kW at a power factor of 0.6 from 6000 V mains. A synchronous capacitor is purchased to raise the over... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the magnetic energy associated with unit length of an infinitely long straight wire of radius a carrying a current I.
Options:
A. finit... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The forces experienced by a test charge q for three different velocities at a point in a region characterized by electric and magnetic field... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Air flows through a pipe 5 ft. long with an internal diameter of 0.5 in. The air is flowing at a uniform speed of 80 ft/sec. The wall surfac... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Air flows through a pipe, and cooling is achieved by means of forced convection. Air flowing at a speed of 100 ft/sec enters the pipe at a t... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Hydrogen gas is to be heated by means of forced convection in a pipe. This experiment will first be modeled on a smaller scale, using air as... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
What is Newton's Law of cooling as applied to convective heattransfer?
Options:
A. q = hA\DeltaT
B. q = hA\DeltaT^2
C. q = h^2A\DeltaT
D. q ... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the voltage across a 0.01 \muF capacitor at t = 0.25 \mus if \nu(o) = 0.6 V and the current through it is: (a) 0.2 sin 2\pi 10^6 t A, (... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
From economy considerations, suggest the use of either aluminium alloy or copper alloy fins. The following data is given: Density of the alu... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Consider an example of forced convection within a pipe. The local heat transfer coefficient is valid at the point it is evaluated at, and in... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A power of 30 hp at 150 rpm is available on a distribution line shaft of 2.5 in diameter. Two pulleys mounted on the shaft, for power distri... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A key is used to fasten a pulley having a 3(1/2) in. long hub, delivering a torque of 1250 lbs.-ft. to a shaft 2(1/2) in., in diameter. If t... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A flat key is used to prevent slipping of a cast-iron gear mounted on a shaft, 2 in. in diameter. Determine the appropriate dimensions of th... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A load of 7.5 tons is to be lifted from a depth of 760 ft. using a wire rope. It is suggested to use a widely applied 6 × 19 IPS rope of dia... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Design a steel bar to withstand an axial load of 5500 lbs. based on the Euler load. Assume a factor of safety of 2.5; the length of the colu... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Compute the size of a steel rectangular column hinged at both ends. The length of the column is 16 in., and the compressive load is 15,000 l... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the Laplace transform of f(t) = sin kt, for t > 0, where k is a real constant.
Options:
A. [k^2 / (s^2 + k^2)]
B. [s / (s^2 - k^2)]
C. ... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
An input signal v(t) =I\delta(t) (impulse function) is passed through a filter having function (1 - e-j\omega\tau)/j\omegawhere \tau is the ... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Benzene andiso-pentane are mixed at 1.5 atm. and 110°F. Determine the compositions of the liquid and vapor using Raoult'slaw.
Options:
A. x_... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the saturation concentration of oxygen in water exposedto dry air at 1 atm. and 25°C. Given the Henry's constantfor dissolved oxyg... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Let X be the random variable denoting the result of the single toss of a fair coin. If the toss is heads, X = 1. If the toss results in tail... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
f(X) = [\pi(1 + X^2)]^-1- \infty < x < \infty. If Y = X^2, what is the density function of Y ?
Options:
A. h(y) = [1 / {2\pi(1 + y^2)}] for ... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Consider the function, g(x) = (1 + x^2)^-1 Determine a constant k such that f(x) = k(1 + x^2)^-1 is a proper probability density for - \inft... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
An electrical current flows along a flat plate of carbon steel 1/2 in. thick, 4 in. wide and 2.5 ft. long, when a potential of 12 volts is a... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the drag force acting on a 0.75 ft × 7 ft smooth platewhen it is pulled along its length on a still water surface ata velocity of ... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Water flows through a galvanized iron pipe at a rate of 3 ft^3/s. If the pressure loss is 5 ft. per 1000 ft. of flow, determine the size of ... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A 1.6 ft long pipe with an inside diameter of 0.03 ft carries water moving at a rate of 18lbm/hr. Steam con-denses on the outside of the pip... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
For point-to-point communication at higher frequencies, the desiredradiation pattern is a single narrow lobe or beam. To obtainsuch a charac... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Air at 75°F and 14.6psiaflows through a rectangular duct of 1 × 2 ft cross-section. If the flow rate is 4800cfm, determine the pressure drop... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Pure nitrogen is passed over the opening of a long narrow testtube which contains liquidcyclohexanefilled to 11 cm belowthe top. The tempera... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The resistance in the circuit of the moving coil of a dynamometer wattmeter should be
Options:
A. Low.
B. Very low.
C. High.
D. Almost zero.... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A Binary number system has how many digits.
Options:
A. 1
B. 2
C. 10
D. 0
| B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Speed of data transmission in 4-G network of telecom is
Options:
A. 50 mbps - 500 mbps.
B. 500 kbps - 1.5 mbps.
C. 2 mbps – 1 gbps.
D. 386 k... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A rigid tank contains 1lbmof air and 0.2lbmof saturated water vapor at 250°F. Determine the volume of the tank and the total pressure of the... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A liquid is compressed isothermally inside a chamber. Obtain an expression for the total amount of work required if the compression process ... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A gas having a constant volume specific heat equal to (4.52 + 0.00737T) Btu/lbm- °F is initially at 175°F. Heat is thenadded to the gas in a... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the work done by a perfect gas during an adiabatic frictionlessprocess when its temperature changes from 200°F to 300°F.The molecu... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A chamber contains 5 lbm of an ideal gas, initially at a temperature of 100°F. The gas then undergoes a reversible isobaric process during w... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the volume of a cylinder which contains 60lbmof carbon dioxide at 230°F and 23 psig pressure. Assume atmospheric pressure to be 14... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the heat added when one mole of carbon dioxide is heated at constant volume from 540 to 3540 F.
Options:
A. 55,000 Btu
B. 60,000 B... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
In a particular flow system 1lbmof saturated water at 400°F is heated at constant pressure until it is saturated vapor. If the reservoir tem... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A pioneer aeronaut is planning the design of a hot-air balloon. What volume of air at 100°C should be used if the balloon is to have a gross... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The flow through a sluice gate set into a dam is to be investigated by building a model of the dam and sluice at 1 : 20 scale. Calculate the... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The wings of anaeroplanehave a total plan area of 320 ft^2 The plane weighs 18,000lbf, and the normal speed in level flightis 230 ft/sec whe... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
What is the maximum air velocity that will not exceed a 2°F temperature rise at a stagnation point ? Assume air at 70°F and 14.7psia. TABLE ... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A liquid compressed in a cylinder has a volume of 1 liter (l) (1000 cm^3) at 1 MN/m^2 and a volume of 995 cm^3 at 2MN/m^2. What is the bulk ... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Determine the scalar potential function of the vector function A^\ding{217}: A^\ding{217} =2xy\^{\i}+ x^2\^{\j} + 3z^2k̂
Options:
A. x^2y + ... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
a) The velocity profile for laminar flow between two parallel plates is given by u = u_m{1 - (b^2 / B^2)} where u_m is thecenterplanevelocit... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Two 60-cycle motors are connected in concatenation to drive a load. If machine 1 has six poles and machine has eight poles, (a) calculate th... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
In a motor the armature resistance is 0.1 ohm. When connected across 110-volt mains the armature takes 20 amp, and its speed is 1,200 rpm. D... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A 125/250-volt three-wire system has a load on the positive side of 500 amp, on the negative side of 450 amp, the neutral current therefore ... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
(1) The terminal voltage of a motor is 240 volts and the armature current is 60 amp. The armature resistance is 0.08 ohm. The counter emf is... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Consider a lap-wound armature 4 feet in diameter, having 12 poles. The winding consists of 240 coils of 4 turns each and the length of the p... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A plane 1-GHz traveling wave in air with peak electric field intensity of 1 v/m is incident normally on a large copper sheet. Find the avera... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the homogeneous solution to a differential equation for the voltage,v_C(t) across a (4/3)F, capacitor in a series RLC circuit where R =... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The current through an inductor with inductance L = 10^-3 henry is given as i_L (t) = 0.1 sin 10^6t. Find the voltage\nu_L(t) across this in... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the homogeneous solution to a differential equation for the voltagev_C(t) across a (1/2) F capacitor in a series RLC circuit where R = ... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find y [n] such that y [n] - (5/6)y [n - 1] + (1/6)y [n - 2] = 3^n and y [- 1] = y [- 2] = 0, using the sum of the steady-state and homogene... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
An isolated spherical conductor of radius R carries a surface charge density \sigma. Find the potential energy in terms of R.
Options:
A. {Q... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the ratio of reflected power to incident power, for a 75-ohm load on a 50-ohm line. Suppose a 50-ohm load is used instead of the 75-ohm... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the electrostatic energy of a system consisting of a point charge q located at the center of a spherical conducting shell of inner... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Find the input impedance of a 50-ohm line terminated in +j50 ohms, for a line length such that\betad= (\pi/1) radian.
Options:
A. 25 ohms
B.... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Consider the nonuniform field E= ya_x + xa_y + 2a_z Determine the work expended in carrying 2 C from B (1,0,1) to A (0.8, 0.6, 1) along the ... | G | mmlu_pro |
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