1
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1 7 mol of a certain monoatomic ideal gas undergoes a temperature increase of $$40 \mathrm{~K}$$ at constant pressure. The increase in the internal energy of the gas in this process is :

(Given $$\mathrm{R}=8.3 \,\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$$ )

A
5810 J
B
3486 J
C
11620 J
D
6972 J
2
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1 A monoatomic gas at pressure $$\mathrm{P}$$ and volume $$\mathrm{V}$$ is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :

A
P
B
8P
C
32P
D
64P
3
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1 Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is $$\sqrt2$$ times the speed of sound, then the value of n will be :

A
1
B
2
C
3
D
4
4
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1 Let $$\eta_{1}$$ is the efficiency of an engine at $$T_{1}=447^{\circ} \mathrm{C}$$ and $$\mathrm{T}_{2}=147^{\circ} \mathrm{C}$$ while $$\eta_{2}$$ is the efficiency at $$\mathrm{T}_{1}=947^{\circ} \mathrm{C}$$ and $$\mathrm{T}_{2}=47^{\circ} \mathrm{C}$$ The ratio $$\frac{\eta_{1}}{\eta_{2}}$$ will be :

A
0.41
B
0.56
C
0.73
D
0.70
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Mechanics
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Modern Physics
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