A) \[\frac{\sqrt{3}}{2}\]
B) 1
C) \[\frac{1}{2}\]
D) \[\frac{1}{\sqrt{3}}\]
Correct Answer: D
Solution :
Cylinder is of fixed capacity volume constant \[\operatorname{Q}=n{{C}_{v}}\Delta T\] It volume constant \[\operatorname{Q}=n{{C}_{v}}\Delta T\]if pressure \[\operatorname{Q}=n{{C}_{\operatorname{P}}}\Delta T\]constant \[\operatorname{n} = 2mol, {{C}_{v}} \left( He gas \right) = \frac{3}{2} R, \Delta T = 20k\] \[\operatorname{Q}=2\times \frac{3}{2}\times 8.31\times 20\] \[= 498.6J~\simeq 499J\]
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