Let `barv,v_(rms) and v_p` respectively denote the mean speed. Root mean square speed, and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature T. The mass of a molecule is m. Then

Options

A. (i),(ii)
B. (ii), (iii)
C. (iii), (iv)
D. (i), (iv)

Answer

C

Explanation

Average `K.E.` of a molecule
`bar(K) = (3)/(2)k T`
`v_(p) = sqrt((2kT)/(m)) rArr kT = (1)/(2)mv_(p)^(2)`
`bar(K) = (3)/(2).(1)/(2)mv_(p)^(2) = (3)/(4)mv_(p)^(2)`