According to Maxwell distribution of speeds which one is correct? a) no. of molecules having most probable speed is higher than no. of molecules moving with rms speed b) average velocity is nonzero

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Q. Identify the correct order as indicated in the given diagram of different kind of speed of molecules of same gas.

f (v) \to

Maxwell speed distribution function

v_{m p} \to

Most probable speed

v_{r m s} \to

Root mean square speed

v_{a v} \to

Average speed

v_{r m s}

v_{a v}

and

v_{m p}

are root mean squate,average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

According to Maxwell, Boltzmann distribution of energy, ......... .
(a) the fraction of molecules with most probable kinetic energy decreases at higher temperatures
(b) the fraction of molecules with most probable kinetic energy increases at higher temperatures
(c) most probable kinetic energy increases at higher temperatures
(d) most probable kinetic energy decreases at higher temperatures

Q. Let

¯ v, v_{r m s}

and

v_{p},

respectively, denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monatomic gas at absolute temperature

T .

The mass of a molecule is

m .

Then,

Q. Assertion :The root mean square and most probable speeds of the molecules in a gas are the same. Reason: The Maxwell distribution for the speed of molecules in a gas is symmetrical.

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