1
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-

A
$$\frac{9}{2}R$$
B
$$\frac{5}{2}R$$
C
$$\frac{3}{2}R$$
D
$$\frac{7}{2}R$$
2
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1

The root mean square velocity of molecules of gas is

A
Proportional to temperature ($$T$$)
B
Inversely proportional to square root of temperature $$\left( {\sqrt {{1 \over T}} } \right)$$
C
Proportional to square of temperature ($$T^2$$)
D
Proportional to square root of temperature ($$\sqrt T$$)
3
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1
Out of Syllabus

A Carnot engine with efficiency 50% takes heat from a source at 600 K. In order to increase the efficiency to 70%, keeping the temperature of sink same, the new temperature of the source will be :

A
300 K
B
1000 K
C
900 K
D
360 K
4
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1

Let $$\gamma_1$$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $$\gamma_2$$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, $$\frac{\gamma_1}{\gamma_2}$$ is :

A
$$\frac{35}{27}$$
B
$$\frac{25}{21}$$
C
$$\frac{21}{25}$$
D
$$\frac{27}{35}$$
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