A container is filled with a sample of gas having n molecules with speeds α, 2α, 3α, - Physics - Kinetic Theory

Question

A container is filled with a sample of gas having n molecules with
speeds α ,   2 α ,   3 α ,    
nα   The   ratio   of   average  
speed   to   root   mean   square   speed
  is ( 1 )   3 n + 1 2 2 n + 1 ( 2 )   n + 1 2 2 n +
1 ( 3 )   5 2 n + 2 7 3 n + 1 ( 4 )   3 n + 2 5 3 n + 2

Decoder_2 · Accepted Answer

Dear
Student,

Regards

A container is filled with a sample of gas having n molecules with speeds α , 2 α , 3 α , . . . . nα . The ratio of average speed to root mean square speed is ( 1 ) 3 n + 1 2 2 n + 1 ( 2 ) n + 1 2 2 n + 1 ( 3 ) 5 2 n + 2 7 3 n + 1 ( 4 ) 3 n + 2 5 3 n + 2