Match the following : List-I List-IIA)Average velocity1)32nRTB)Most probable velocity2)8RTπMC)Kinetic energy of gas3)2RTMD)Kinetic energy of a gas molecule4)3RTME)RMS velocity

Vavg=8RTπM VMP=2RTMKE=3nRT2VRMS=3RTMKinetic energy of a gas molecule is = 3kT2

Match the following : List-I List-IIA)Average velocity1)32nRTB)Most probable velocity2)8RTπMC)Kinetic energy of gas3)2RTMD)Kinetic energy of a gas molecule4)3RTME)RMS velocity

Vavg=8RTπM VMP=2RTMKE=3nRT2VRMS=3RTMKinetic energy of a gas molecule is = 3kT2

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Match the following :
List-I List-II
A) Average velocity 1) $\frac{3}{2} nRT$
B) Most probable velocity 2) $\sqrt{\frac{8 RT}{πM}}$
C) Kinetic energy of gas 3) $\sqrt{\frac{2 RT}{M}}$
D) Kinetic energy of a gas molecule 4) $\sqrt{\frac{3 RT}{M}}$
E) RMS velocity

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E - 1; C - 3; B - 2; A - 4

E - 3; D - 4; B - 2; A - 1

B - 3; A - 2; E - 4; C - 1

D - 3; E - 4; A - 2; B - 1

answer is C.

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Detailed Solution

$V_{a v g} = \sqrt{\frac{8 R T}{π M}}$

$V_{MP} = \sqrt{\frac{2 RT}{M}}$

$KE = \frac{3 nRT}{2}$

$V_{RMS} = \sqrt{\frac{3 RT}{M}}$

Kinetic energy of a gas molecule is = $\frac{3 kT}{2}$

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	List-I		List-II
A)	Average velocity	1)	$\frac{3}{2} nRT$
B)	Most probable velocity	2)	$\sqrt{\frac{8 RT}{πM}}$
C)	Kinetic energy of gas	3)	$\sqrt{\frac{2 RT}{M}}$
D)	Kinetic energy of a gas molecule	4)	$\sqrt{\frac{3 RT}{M}}$
E)	RMS velocity

Match the following : List-I List-IIA)Average velocity1)32nRTB)Most probable velocity2)8RTπMC)Kinetic energy of gas3)2RTMD)Kinetic energy of a gas molecule4)3RTME)RMS velocity

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Match the following :
List-I List-II
A) Average velocity 1) $\frac{3}{2} nRT$
B) Most probable velocity 2) $\sqrt{\frac{8 RT}{πM}}$
C) Kinetic energy of gas 3) $\sqrt{\frac{2 RT}{M}}$
D) Kinetic energy of a gas molecule 4) $\sqrt{\frac{3 RT}{M}}$
E) RMS velocity