MHT CET (PCB) 2024 22th April Morning Shift | Heat and Thermodynamics Question 3 | Physics

A monoatomic ideal gas, initially at temperature ' $\mathrm{T}_1$ '' is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature ' $\mathrm{T}_2$ ' by releasing the piston suddenly. $L_1$ and $L_2$ are the lengths of the gas columns before and after the expansion respectively. Then $\frac{T_1}{T_2}$ is

$\sqrt{\frac{\mathrm{L}_1}{\mathrm{~L}_2}}$

$\sqrt{\frac{\mathrm{L}_2}{\mathrm{~L}_1}}$

$\left(\frac{L_1}{L_2}\right)^{2 / 3}$

$\left(\frac{L_2}{L_1}\right)^{2 / 3}$

MHT CET (PCB) 2024 22th April Morning Shift

MCQ (Single Correct Answer)

-0

The volume of a block of metal at $30^{\circ} \mathrm{C}$ changes by $0.12 \%$ when its temperature is increased to $70^{\circ} \mathrm{C}$. The coefficient of linear expansion of the metal is

$2 \times 10^{-5}{ }^{\circ} \mathrm{C}$

$3 \times 10^{-5}{ }^{\circ} \mathrm{C}$

$4 \times 10^{-5}{ }^{\circ} \mathrm{C}$

$1 \times 10^{-5}{ }^{\circ} \mathrm{C}$

MHT CET (PCB) 2024 22th April Morning Shift

MCQ (Single Correct Answer)

-0

A fixed mass of gas at constant pressure occupies a volume ' $V$ '. The gas undergoes a rise in temperature so that the r.m.s. velocity of the molecule is doubled. The new volume will be

$\frac{\mathrm{V}}{2}$

$\frac{\mathrm{V}}{\sqrt{2}}$

2 V

4 V

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