1
JEE Main 2023 (Online) 31st January Evening Shift
+4
-1
A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is $\frac{16}{81}$. Then the ratio of $\frac{\mathrm{Cp}}{\mathrm{Cv}}$ will be.
A
$\frac{3}{1}$
B
$\frac{4}{3}$
C
$\frac{1}{2}$
D
$\frac{3}{2}$
2
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

The pressure of a gas changes linearly with volume from $$\mathrm{A}$$ to $$\mathrm{B}$$ as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be

A
6 J
B
4.5 J
C
zero
D
$$-$$4.5 J
3
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

The correct relation between $$\gamma = {{{c_p}} \over {{c_v}}}$$ and temperature T is :

A
$$\gamma \propto T$$
B
$$\gamma \propto {1 \over {\sqrt T }}$$
C
$$\gamma \propto {1 \over T}$$
D
$$\gamma \propto T^\circ$$
4
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1
Out of Syllabus
Given below are two statements: one is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$

Assertion A: Efficiency of a reversible heat engine will be highest at $-273^{\circ} \mathrm{C}$ temperature of cold reservoir.

Reason R: The efficiency of Carnot's engine depends not only on the temperature of the cold reservoir but it depends on the temperature of the hot reservoir too and is given as $\eta=\left(1-\frac{T_{2}}{T_{1}}\right)$

In the light of the above statements, choose the correct answer from the options given below
A
Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
B
Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$
C
A is false but $\mathbf{R}$ is true
D
A is true but $\mathbf{R}$ is false
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