For a gaseous state, if most probable speed is denoted by C∗, average speed by ¯¯¯¯C and mean square by C, then for a large number of molecules the ratios of these speeds are:
C∗:¯¯¯¯C:C=1.128:1.225:1
C∗:¯¯¯¯C:C=1:1.128:1.225
C∗:¯¯¯¯C:C=1:1.225:1.128
C∗:¯¯¯¯C:C=1.225:1.128:1
A
C∗:¯¯¯¯C:C=1.128:1.225:1
B
C∗:¯¯¯¯C:C=1:1.225:1.128
C
C∗:¯¯¯¯C:C=1:1.128:1.225
D
C∗:¯¯¯¯C:C=1.225:1.128:1
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Solution
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As we know, um.p.:uav:urms=√2RTM:√8RTπM:√3RTM
=√2:√8/π:√3=1:1.128:1.225
So, C∗:¯¯¯¯C:C=1:1.128:1.225
Hence, the correct answer is option A.
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