An insulated box containing a diatomic gas of molar mass M is moving with a velocity v. The box is suddenly stopped. The resulting change

Q: An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is

c work energy theorem $\Delta \mathrm{KE}=\Delta \mathrm{U}$ $\Rightarrow \frac{1}{2} \mathrm{mV}^{2}=\mu \mathrm{C}_{\mathrm{v}} \mathrm{d} \mathrm{T}\left[\mathrm{C}_{\mathrm{v}}=\frac{5}{2} \mathrm{R}\right]$ $\Rightarrow \frac{1}{2} \mathrm{mV}^{2}=\frac{\mathrm{m}}{\mathrm{M}} \times \frac{5}{2} \mathrm{R} \times \Delta \mathrm{T}$ $\Rightarrow \Delta \mathrm{T}=\frac{\mathrm{MV}^{2}}{5 \mathrm{R}}$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is

A$\frac{{M{V^2}}}{{2R}}$
B$\frac{{M{V^2}}}{{3R}}$
C$\frac{{M{V^2}}}{{5R}}$
D$\frac{{2M{V^2}}}{{5R}}$

Medium

STD 11 Science
JEE
STD 11 - 12 . kinetic theory of gases
Physics

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