problem stringlengths 254 5.47k | gt stringclasses 10
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The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Compute the field intensity midway between two point charges; number 1 of + 30\mucoulombs(microcoulombs), number2 of + 40\mucoulombs, when t... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A certain precision 1-\muF capacitor has very high resistance material used between its conducting surfaces. The capacitor is charged to 1V ... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The electric displacementDin a given spherical region is given as D= {(5r^2) / 4} r̂ (C/m^2) Determine the total charge enclosed by the volu... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A test charge q C, moving with a velocityv= (i_x +i_y) m/sec, experiences no force in a region of electric and magnetic fields. If the magne... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Air is flowing perpendicularly to a pipe, transferring heat by forced convection. The pipe has a diameter 4 in. and a surface temperature of... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A flat plate loses heat to the atmosphere by forced convection. Air at 70°F flows over the plate at the rate of 50 ft/sec. The plate is init... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A shaft has to transmit 30 hp at 400 rpm. The ultimate shear stress for the steel shaft is 60,000 psi with a factor of safety of 5. Determin... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A 15 hp internal-combustion engine runs at 1400 rpm and rotates a grinding disc at 700 rpm under smooth conditions. If a triple strand no. 5... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Calculate the power delivered by a roller chain of 3/4 in. pitchused on a sprocket with 34 teeth which rotates at 500 rpm.
Options:
A. 3.73
... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A television picture is composed of approximately 300,000 individual picture elements, each of which can attain ten different and distinguis... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Consider an air stream flowing over a solid naphthalene plate with a velocity of 16 ft/sec at points far away from the surface of the plate.... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A signal source operating at 50MHz has an output impedance of 20 ohms. It is to supply power through a coaxial line to a load impedance of 1... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The output signal- to- noise ratio of two FM receivers is identical and is given as (S_o / N_o) = [{3k^2 \bulletm^2(t)\bullet A^2} / {4\pi^2... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Approximate the rate at which water diffuses into dry air at 1atmand 25°C from the bottom of a test tube 12 mm in diameter and 16 cm in leng... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Determine the dew point of a mixture of benzene and n-pentane gases. The composition is 60 mole percent benzene and 40 mole percent n-pentan... | J | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Estimate the overall heat transfer coefficient, based on the outside surface area, for hot water flowing with a velocity of 30 cm/sec throug... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Determine the drag force acting on a 10 ft × 100 ft smooth flatplate when it is pulled lengthwise on a still water surface witha velocity of... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A spherical shell of cast iron having an inside radius 2.5 in. and outside radius 6 in., contains a solution which liberates heat at the rat... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A pseudoplastic-non-newtonian fluid is flowing through a schedule 40 standard steel pipe of 1(1/4) in. dia. at a rate of 15 gal/hr. Determin... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
An analog signal is quantized and encoded using pulse code modulation (PCM). (a) If the number of quantization levels M = 16 and the word le... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Oil of viscosity 0.2248lbm/ft-sec. is pumped through a horizontalpipe of 4-in. inside diameter. If there is a pressure dropof 24,000lbf/ft^2... | E | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Given the Laplace transform of i(t), L[i(t)] = I(s) = [{E - V(0^+)} / {R(s + (1 / RC))}] Determine i(0^+).
Options:
A. [{E * R} / {v(0^+) - ... | I | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A 1(1/2) in sch. 40 steam pipe is laid in the atmosphere where the temperature is 50°F. The steam inside it is saturated at 100psia. Conside... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Water at 340°K and a rate of 4 Kg/hr is required for a certain process. Water, available at 300°K, is to be heated as it passes through a 7m... | F | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A solid sphere of naphthalene (A) with a radius of 2.5 mm is surroundedby still air (B) at 300 K and 1 atm. Take the surfacetemperature of t... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
For a single tone-modulated signal m(t) =cos\omega_mt Find the demodulated single sideband outputg(t).
Options:
A. y(t) = (Ar/ 2)cos(ω_mt)
B... | C | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A volatile fuel when spilled on a large flat surface quickly spreadsover a depth 1/4 in. and a length of 7 ft. The fuel is at60°F with a vap... | D | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
A hot mild steel rod is placed in a carbonaceous substance. The rod has an initial carbon concentration of c_1 = 0.22% by weight. The concen... | G | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The cost of making the correct decisions for the given binary channel is zero, i.e., c(d_1/x_1) = c(d_2/x_2) = 0. The cost of making the inc... | B | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Consider the evaporation of liquid ammonia into air at 80°F and 1 atm. Given the heat transfer coefficient in the same apparatus and at the ... | H | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
Air (100°F, 1atm) is flowing at a velocity of 20 fps over a flat plate(200°F) of 2 ft width. At x = 2 ft find the local convective heattrans... | A | mmlu_pro |
The following are multiple choice questions (with answers) about {$}. Think step by step and then finish your answer with \boxed{X} where X is the correct letter choice.
Question:
The frequency range of a commercially broadcast FM signal is 88 to 108 MHz, with carrier swing of 125 kHz. Find the percentage modulation of... | F | mmlu_pro |
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