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Indian Navy 10+2 B.Tech Cadet Kinetic Theory of Gases — practice questions

Explore 5 free Kinetic Theory of Gases questions in Indian Navy 10+2 B.Tech Cadet Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Kinetic Theory of Gases questions and exercises with answers

Showing questions 1–5 of 5.

Boyle's law derivation from KTG: at constant T, doubling V causes:Read the answer and worked solution →During adiabatic compression of ideal gas:Read the answer and worked solution →Speed of sound in ideal gas:Read the answer and worked solution →A diatomic ideal gas has $C_v = \tfrac{5}{2}R$. Its $C_p$ and ratio $\gamma$ are:Read the answer and worked solution →Order the steps of EM wave generation by an accelerating chargeRead the answer and worked solution →

Worked practice questions

Boyle's law derivation from KTG: at constant T, doubling V causes:

  1. P unchanged
  2. P halves (P ∝ 1/V from PV = nRT at const T)
  3. P × 4
  4. P doubles
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Correct answer: B. P halves (P ∝ 1/V from PV = nRT at const T)

PV = nRT. **At const T:** P ∝ 1/V. Doubling V halves P. From KTG: doubling V at const T = same N molecules in 2× volume → half the collision rate → half pressure.

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During adiabatic compression of ideal gas:

  1. T decreases
  2. T constant
  3. Random
  4. T INCREASES (work done on gas → internal energy → T rises)
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Correct answer: D. T INCREASES (work done on gas → internal energy → T rises)

Adiabatic (Q = 0): ΔU = W (work done on gas). Compression means work done ON gas (W > 0). ΔU > 0 → T increases. **Hence rubbing a bike pump heats up (compressing air).**

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Speed of sound in ideal gas:

  1. cV
  2. sqrt(RT/M)
  3. v_sound = sqrt(γRT/M)
  4. sqrt(kT)
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Correct answer: C. v_sound = sqrt(γRT/M)

v_sound = sqrt(γP/ρ) = sqrt(γRT/M). For air (γ=1.4, M=29 g/mol) at 300 K: ≈ 346 m/s. Speed of sound ≈ 70% of v_rms. Sound is a pressure wave whose propagation speed depends on γ.

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