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(B) Consider the compartment in an accelerated frame of reference moving with acceleration $a$ in the positive $x$-direction.In this non-inertial fram

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Lower in the front side

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(B) Consider the compartment in an accelerated frame of reference moving with acceleration $a$ in the positive $x$-direction.In this non-inertial frame,a pseudo force acts on each gas molecule in the direction opposite to the acceleration (i.e.,in the negative $x$-direction).Due to this pseudo force,the gas molecules tend to accumulate towards the rear side of the compartment.As a result,the density of the gas increases at the rear side and decreases at the front side.Since the pressure of a gas is directly proportional to its density (from the ideal gas law $P = \rho RT/M$),the pressure will be higher at the rear side and lower at the front side.Therefore,the pressure is lower in the front side.

Column $- I$	Column $- II$
$(A)$ Root mean square speed of gas molecules	$(P)$ $\frac{1}{3} n m \bar{v}^{2}$
$(B)$ Pressure exerted by ideal gas	$(Q)$ $\sqrt{\frac{3 RT}{M}}$
$(C)$ Average kinetic energy of a molecule	$(R)$ $\frac{5}{2} RT$
$(D)$ Total internal energy of $1$ mole of a diatomic gas	$(S)$ $\frac{3}{2} k_{B} T$

$A$ closed compartment containing gas is moving with some acceleration in a horizontal direction. Neglect the effect of gravity. Then the pressure in the compartment is

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