The temperature at which the rms speed of atoms in neon gas is equal to the rms speed of hydrogen molecules at \(15^{\circ} \mathrm{C}\) is: (Atomic mass of neon \(=20.2\) u, molecular mass of hydrogen \(=2\) u)
1. | \(2.9\times10^{3}\) K | 2. | \(2.9\) K |
3. | \(0.15\times10^{3}\) K | 4. | \(0.29\times10^{3}\) K |
Assertion (A): | The mean free path of gas molecules varies inversely with the density of the gas. |
Reason (R): | The mean free path varies inversely with the pressure of the gas. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
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Assertion (A): | The average velocity of the molecules of an ideal gas increases when the temperature rises. |
Reason (R): | The internal energy of an ideal gas increases with temperature, and this internal energy is the random kinetic energy of molecular motion. |
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Assertion (A): | As a gas bubble rises from the bottom of a lake, its volume decreases. |
Reason (R): | As the gas bubble rises from the bottom of a lake, the pressure of the gas within decreases. |
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
1. | \(T_{H_{2}}=T_{H e}\) | 2. | \(\dfrac{T_{H_2}}{2}=\dfrac{T_{He}}{4}\) |
3. | \(5 T_{H_2}=3 T_{He}\) | 4. | \(\dfrac{T_{H_{2}}}{5}=\dfrac{T_{{He }}}{3}\) |
1. | \(2 P\) | 2. | \(P\) |
3. | \(\dfrac{P}{2}\) | 4. | \(4 P\) |
The pressure exerted by a gas enclosed within a room is due to:
1. | collisions of the gas molecules with the walls of the room. |
2. | repulsive force between molecules of the gas. |
3. | weight of the molecules of the gas. |
4. | angular momentum of the molecules. |