According to the kinetic theory of gases
(i) `P prop v_(rms)`
(ii) `v_(rms) prop T`
(iii) `v_(rms) prop T^(1//2)`
(iv) `P prop v_(rms)^(2)`

Options

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

Answer

C

Explanation

`P = (1)/(3)(mN)/(V) bar(v^(2)) = (1)/(3) (M)/(V) v_(rms)^(2) rArr P prop v_(rms)^(2)`
`v_(rms) = sqrt((3 R T)/(M_(0))) rArr v_(rms) = prop T^(1//2)`