1
JEE Main 2023 (Online) 13th April Evening Shift
+4
-1 The initial pressure and volume of an ideal gas are P$$_0$$ and V$$_0$$. The final pressure of the gas when the gas is suddenly compressed to volume $$\frac{V_0}{4}$$ will be :

(Given $$\gamma$$ = ratio of specific heats at constant pressure and at constant volume)

A
P$$_0$$(4)$$^{\frac{1}{\gamma}}$$
B
P$$_0$$
C
4P$$_0$$
D
P$$_0$$(4)$$^{\gamma}$$
2
JEE Main 2023 (Online) 13th April Evening Shift
+4
-1 The mean free path of molecules of a certain gas at STP is $$1500 \mathrm{~d}$$, where $$\mathrm{d}$$ is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at $$373 \mathrm{~K}$$ is approximately:

A
$$750 \mathrm{~d}$$
B
$$1500 \mathrm{~d}$$
C
$$\mathrm{2049~ d}$$
D
$$1098 \mathrm{~d}$$
3
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1 The rms speed of oxygen molecule in a vessel at particular temperature is $$\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v$$, where $$v$$ is the average speed of the molecule. The value of $$x$$ will be:

$$\left(\right.$$ Take $$\left.\pi=\frac{22}{7}\right)$$

A
4
B
8
C
28
D
27
4
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1 An engine operating between the boiling and freezing points of water will have

A. efficiency more than 27%.

B. efficiency less than the efficiency of a Carnot engine operating between the same two temperatures.

C. efficiency equal to $$27 \%$$

D. efficiency less than $$27 \%$$

Choose the correct answer from the options given below:

A
B and C only
B
B and D only
C
B, C and D only
D
A and B only
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