Most probable speed, average speed and root mean speed can be related as

1: 1.224: 1.128

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1.128: 1: 1.224

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1: 1.128: 1.224

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1.224: 1.128: 1

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Solution

The correct option is C 1: 1.128: 1.224
Most probable speed = $\sqrt{\frac{2 R T}{M}}$
Average speed = $\sqrt{\frac{8 R T}{π M}}$
Root Mean Square Speed = $\sqrt{\frac{3 R T}{M}}$
Correct ratio of $C_{p} : ¯ C : C$ = 1:1.128:1.224
Also remember that $C_{p} < ¯ C < C$

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