The dimension of a quantity `(h gamma)/(c )` where h is the planck's constants, `gamma` is the frequency and c is the velocity of light are :

Options

A. `MT^(-1)`
B. `MLT^(-1)`
C. `MLT^(-2)`
D. `ML^(2)T^(2)`

Answer

B

Explanation

`"Frequency v"=M^(0)L^(0)T^(-1)`
Plank's constant `h=ML^(2)T^(-1)`
Velocity of light `c=M^(0)LT^(-1)`
Dimension of `(hv)/(c )=([ML^(2)T^(-1)]xx[M^(0)L^(0)T^(-1)])/([M^(0)LT^(-1)])`
`=(ML^(2)T^(-2))/(LT^(-1))=ML^(2-1)T^(-2+1)`
`=MLT^(-1)`