Most probable speed, average speed and RMS speed are related as:-

1 : 1.28 : 1.224

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1 : 1.28 : 1.424

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1 : 1.128 : 1.224

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1 : 1.428 : 1.442

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Solution

The correct option is C 1 : 1.128 : 1.224
$V_{r m s} = \sqrt{\frac{3 R T}{M}}; V_{a v g} = \sqrt{\frac{8 R T}{π m}}; V_{m p} = \sqrt{\frac{2 R T}{M}} ∴ V_{m p} : V_{a v g} : V_{r m s} = \sqrt{2}; \sqrt{\frac{8}{π}}; \sqrt{3} = 1 : 1.128 : 1.224$ .

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