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When temperature of an ideal gas is increased from 27⁰C to 227⁰C, its r.m.s. speed changes from 400 m/s to Vs. The Vs is
Options
(a) 516 m/s
(b) 450 m/s
(c) 310 m/s
(d) 746 m/s
Correct Answer:
516 m/s
Explanation:
[ʋ(rms)]² ∝ absolute temperature
[ʋ₂ / ʋ₁]² = T₂ / T₁ ⇒ (ʋ₂ / 400) = √[(273+227) / (273+27)] = √(500 / 300) = √(5 / 3)
.·. ʋ₂ = 400 × √(5 / 3) = 400 × √1.67 = 516 m/s
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Topics: Behavior of Perfect Gas and Kinetic Theory
(34)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Excitation energy of a hydrogen like ion, in its first excitation state, is 40.8 eV.
- If vₑ is escape velocity and vₙ is orbital velocity of a satellite
- A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 secs
- A rod lies along the X-axis with one end at the origin and the other at x→∞. It carries
- The kinetic energy of α-particle emitted in the α-dacay of ₈₈Ra²²⁶ is
Topics: Behavior of Perfect Gas and Kinetic Theory (34)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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