Kinetic Theory Ques 11
11. Relation between pressure $(P)$ and internal energy $(U)$ of a gas is
[1991]
(a) $P=\frac{2}{3} E$
(b) $P=\frac{1}{3} E$
(c) $P=\frac{1}{2} E$
(d) $P=3 \cdot E$
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Answer:
Correct Answer: 11.(a)
Solution:
$P=\frac{1}{3} N m \bar{v}^{2}=\frac{2}{3} \times(\frac{1}{2} N m \bar{v}^{2})=\frac{2}{3} K \cdot E$