Kinetic Theory - Result Question 16
16. The temperature of a gas is raised from $27^{\circ} C$ to $927^{\circ} C$. The root mean square speed is [1994]
(a) $\sqrt{(927 / 27)}$ times the earlier value
(b) remain the same
(c) gets halved
(d) get doubled
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Answer:
Correct Answer: 16. (d)
Solution:
- (d) $v _{rms} \propto \sqrt{T}$
As temperature increases from $300 K$ to $1200 K$ that is four times, so, $v _{\text{rms }}$ will be doubled.
