1
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows :

A
P1 > P2
B
P1 < P2
C
P1 = P2
D
Insufficient data to draw any conclusion
2
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

According to kinetic theory of gases,

A. The motion of the gas molecules freezes at 0$$^\circ$$C.

B. The mean free path of gas molecules decreases if the density of molecules is increased.

C. The mean free path of gas molecules increases if temperature is increased keeping pressure constant.

D. Average kinetic energy per molecule per degree of freedom is $${3 \over 2}{k_B}T$$ (for monoatomic gases).

Choose the most appropriate answer from the options given below :

A
A and C only
B
B and C only
C
A and B only
D
C and D only
3
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is :

(Given : initial temperature of the bullet = 127$$^\circ$$C, Melting point of the bullet = 327$$^\circ$$C, Latent heat of fusion of lead = 2.5 $$\times$$ 104 J kg$$-$$1, Specific heat capacity of lead = 125 J/kg K)

A
125 ms$$-$$1
B
500 ms$$-$$1
C
250 ms$$-$$1
D
600 ms$$-$$1
4
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1

A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be:

[Take gas constant R = 8.3 JK$$-$$1mol$$-$$1]

A
$${1 \over 3}$$
B
$${3 \over 1}$$
C
$${1 \over 16}$$
D
$${16 \over 1}$$
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