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
A
C* : ¯C : C = 1.225 : 1.128 : 1
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B
C* : ¯C : C = 1.128 : 1.225 : 1
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C
C* : ¯C : C = 1 : 1.128 : 1.225
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D
C* : ¯C : C = 1 : 1.225 : 1.128
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Solution
The correct option is C C* : ¯C : C = 1 : 1.128 : 1.225 C* = Most probable speed = √2RTM ...(i) ¯C = Average speed = √8RTπM ...(ii)
C = Root means square speed = √3RTM ...(iii)
From (i), (ii) and (iii) C∗<¯C<C