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JEE Physics

Physics questions for JEE Main — Mechanics, Electrostatics, Optics, Modern Physics.

434 Q 9 Topics Take Test
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Difficulty: All Easy Medium Hard 341–350 of 434
Topics in JEE Physics
Q.341 Medium Thermodynamics
For a Carnot refrigerator operating between 250 K (cold reservoir) and 300 K (hot reservoir), the coefficient of performance (COP) is:
A 5
B 6
C 1.2
D 0.2
Correct Answer:  A. 5
EXPLANATION

For Carnot refrigerator: COP = T_c/(T_h - T_c) = 250/(300-250) = 250/50 = 5

Test
Q.342 Medium Thermodynamics
A thermally insulated container holds 2 moles of oxygen gas at 300 K. A heating element supplies 5000 J of heat to the gas. What is the final temperature? (C_v for O₂ = 5R/2, R = 8.314 J/mol·K)
A 360 K
B 420 K
C 380 K
D 400 K
Correct Answer:  C. 380 K
EXPLANATION

Q = nC_vΔT. 5000 = 2 × (5/2) × 8.314 × ΔT. ΔT = 5000/(5 × 8.314) = 5000/41.57 ≈ 120.2 K. Final T = 300 + 120.2 ≈ 380 K

Test
Q.343 Medium Thermodynamics
A gas undergoes a process where PV² = constant. If the gas expands from volume V to 2V, what is the ratio of final to initial pressure?
A 1/4
B 1/2
C 1/8
D 2
Correct Answer:  A. 1/4
EXPLANATION

From PV² = constant: P₁V₁² = P₂V₂². P₂/P₁ = (V₁/V₂)² = (V/2V)² = 1/4

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Q.344 Medium Thermodynamics
For a reversible isothermal process of an ideal gas, the entropy change of the universe is:
A Positive
B Negative
C Zero
D Equal to entropy change of surroundings
Correct Answer:  C. Zero
EXPLANATION

In a reversible process, total entropy change = 0. ΔS_system + ΔS_surroundings = 0. This is the definition of a reversible process.

Test
Q.345 Medium Thermodynamics
Four moles of a diatomic ideal gas are heated from 300 K to 400 K at constant volume. Find the increase in internal energy. (R = 8.314 J/mol·K)
A 8314 J
B 16628 J
C 24942 J
D 33256 J
Correct Answer:  B. 16628 J
EXPLANATION

For diatomic gas, C_v = (5/2)R. ΔU = nC_vΔT = 4 × (5/2) × 8.314 × (400-300) = 10 × 8.314 × 100 = 8314 × 2 = 16628 J

Test
Q.346 Medium Thermodynamics
A diatomic ideal gas is compressed isothermally at 400 K from 10 L to 5 L. The work done on the gas is 2300 J. What is the number of moles of the gas?
A 1 mole
B 2 moles
C 1.5 moles
D 0.5 moles
Correct Answer:  A. 1 mole
EXPLANATION

For isothermal compression: W = -nRT ln(V_f/V_i) = nRT ln(V_i/V_f). 2300 = n × 8.314 × 400 × ln(10/5) = n × 8.314 × 400 × 0.693. n = 2300/(2300) = 1 mole

Test
Q.347 Medium Thermodynamics
For a Carnot heat engine operating between reservoirs at temperatures T_h = 500 K and T_c = 300 K, if the engine absorbs 5000 J per cycle from the hot reservoir, how much work is done per cycle?
A 2000 J
B 3000 J
C 2500 J
D 1500 J
Correct Answer:  A. 2000 J
EXPLANATION

Efficiency of Carnot engine = 1 - T_c/T_h = 1 - 300/500 = 0.4 = 40%. Work = Efficiency × Q_h = 0.4 × 5000 = 2000 J

Test
Q.348 Medium Thermodynamics
Two identical containers of ideal gas are connected by a tube with a valve. Initially, container A has pressure 2P and volume V at temperature T, while container B has pressure P and volume V at the same temperature. When the valve is opened and the system reaches equilibrium, what is the final pressure?
A 1.5P
B 1.33P
C 2P
D 0.75P
Correct Answer:  A. 1.5P
EXPLANATION

Using conservation of moles: n_A = 2PV/RT, n_B = PV/RT. Total moles = 3PV/RT. Final pressure = (3PV/RT)RT/(2V) = 1.5P

Test
Q.349 Medium Thermodynamics
The heat capacity at constant pressure Cp is greater than heat capacity at constant volume Cv for ideal gases because:
A At constant pressure, some energy goes into work expansion
B Pressure increases with temperature
C Volume decreases at constant pressure
D Intermolecular forces increase
Correct Answer:  A. At constant pressure, some energy goes into work expansion
EXPLANATION

At constant P: Q = ΔU + PΔV, so more heat is needed to produce same temperature rise. Relation: Cp - Cv = R

Test
Q.350 Medium Thermodynamics
An open system differs from a closed system in that:
A It can exchange both mass and energy with surroundings
B It cannot exchange anything with surroundings
C It can exchange only energy, not mass
D It is always in equilibrium
Correct Answer:  A. It can exchange both mass and energy with surroundings
EXPLANATION

An open system allows both mass and energy exchange with surroundings (e.g., a boiling kettle), while a closed system allows only energy exchange

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