For gaseous state, if most probable speed is denoted by c∗, average speed by c¯ and root mean square speed by c, then for a large number of molecules the ratios of these speeds are

c ∗ : c ¯ : c = 1 : 1.225 : 1.128

For gaseous state, if most probable speed is denoted by c∗, average speed by c¯ and root mean square speed by c, then for a large number of molecules the ratios of these speeds are

c ∗ : c ¯ : c = 1 : 1.225 : 1.128

c ∗ : c ¯ : c = 1 : 1.128 : 1.225

c ∗ : c ¯ : c = 1.128 : 1.225 : 1

c ∗ : c ¯ : c = 1 : 1.225 : 1.128

c ∗ : c ¯ : c = 1.225 : 1.128 : 1

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For gaseous state, if most probable speed is denoted by $c^{*}$ , average speed by $\bar{c}$ and root mean square speed by c, then for a large number of molecules the ratios of these speeds are

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$c^{*} : \bar{c} : c = 1 : 1.128 : 1.225$

$c^{*} : \bar{c} : c = 1.128 : 1.225 : 1$

$c^{*} : \bar{c} : c = 1 : 1.225 : 1.128$

$c^{*} : \bar{c} : c = 1.225 : 1.128 : 1$

answer is C.

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Detailed Solution

We have

$c^{*} : \bar{c} : c :: \sqrt{\frac{2 R T}{M}} : \sqrt{\frac{8 R T}{π M}} : \sqrt{\frac{3 R T}{M}} :: \sqrt{2} : \sqrt{8 / π} : \sqrt{3} :: 1 : \sqrt{4 / π} : \sqrt{3 / 2} :: 1 : 1.128 : 1.225$

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