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#21-Solved-Examples-8
(Physics) > Kinetic Theory of Gases
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Related Practice Questions :

Which of the following relations is correct for the root-mean-square speed of gas at temperature T?

Where, k= Boltzmann constant, and m= mass of a molecule.

(A)     (B)

(C)     (D)

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${V}_{rms},{V}_{av},{V}_{mp}$ are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

1. ${V}_{rms}<{V}_{av}<{V}_{mp}$

2. ${V}_{rms}>{V}_{av}>{V}_{mp}$

3.

4. ${V}_{avg}>{V}_{rms}<{V}_{mp}$

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For a gas, the r.m.s speed at 800 K is:

(1) Four times the value at 200 K

(2) Half the value at 200 K

(3) Twice the value at 200 K

(4) Same as at 200 K

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The curve between absolute temperature and ${{v}_{rms}}^{2}$ is:

(a)

(b)

(c)

(d)

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Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 km${s}^{-1}$.  The value of the root mean square speed of the gas molecules is:

(1) 3 km${s}^{-1}$             (2) $\sqrt{11}$km${s}^{-1}$

(3) $\frac{1}{2}\sqrt{\mathrm{\pi }}$km${s}^{-1}$    (4) 3.5 km${s}^{-1}$

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Difficulty Level: