1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

An ideal gas with pressure $$\mathrm{P}$$, volume $$\mathrm{V}$$ and temperature $$\mathrm{T}$$ is expanded isothermally to a volume $$2 \mathrm{~V}$$ and a final pressure $$\mathrm{P}_{\mathrm{i}}$$. The same gas is expanded adiabatically to a volume $$2 \mathrm{~V}$$, the final pressure is $$\mathrm{P}_{\mathrm{a}}$$. In terms of the ratio of the two specific heats for the gas '$$\gamma$$', the ratio $$\frac{P_i}{P_a}$$ is

A
$$2^{\gamma+1}$$
B
$$2^{\gamma-1}$$
C
$$2^{1-\gamma}$$
D
$$2^\gamma$$
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

At what temperature does the average translational kinetic energy of a molecule in a gas becomes equal to kinetic energy of an electron accelerated from rest through potential difference of 'V' volt?

($$\mathrm{N}=$$ number of molecules, $$\mathrm{R}=$$ gas constant, $$\mathrm{c}=$$ electronic charge)

A
$$\frac{2 \mathrm{eVN}}{3 \mathrm{R}}$$
B
$$\mathrm{\frac{e V N}{R}}$$
C
$$\mathrm{\frac{e V N}{4 R}}$$
D
$$\mathrm{\frac{3 e V N}{2 R}}$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

The temperature difference between two sides of an iron plate, $$1.8 \mathrm{~cm}$$ thick is $$9^{\circ} \mathrm{C}$$. Heat is transmitted through the plate $$10 \mathrm{k} \mathrm{cal} / \mathrm{sm}^2$$ at steady state. The thermal conductivity of iron is

A
$$0.02 \frac{\mathrm{kcal}}{\mathrm{ms}^{\circ} \mathrm{C}}$$
B
$$0.04 \frac{\mathrm{kcal}}{\mathrm{ms}{ }^{\circ} \mathrm{C}}$$
C
$$0.05 \frac{\mathrm{kcal}}{\mathrm{ms}^{\circ} \mathrm{C}}$$
D
$$0.004 \frac{\mathrm{kcal}}{\mathrm{ms}{ }^{\circ}}$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

Internal energy of $$n_1$$ moles of hydrogen at temperature '$$T$$' is equal to internal energy of '$$n_2$$' moles of helium at temperature $$2 T$$, then the ratio $$\mathrm{n}_1: \mathrm{n}_2$$ is

[Degree of freedom of $$\mathrm{He}=3$$, Degree of freedom of $$\mathrm{H}_2=5$$]

A
$$5: 3$$
B
$$6: 5$$
C
$$2: 3$$
D
$$3: 5$$
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