The quantity `[(nh)//(2piqB)]^(1//2)` where `n` is a positive integer, `h` is Planck's constant `q` is charge and `B` is magnetic field has the dimensions of

Options

A. area
B. length
C. speed
D. acceleration

Answer

A

Explanation

`[(nh)/(2piqB)]`, where `n` and `2pi` are dimensionless quantities.
So, `" "[h]=[mvr][qB]=[(qvB)/(v)]=[(F)/(v)]`
`therefore" "[(mvr)/(F//v)]=([mvr][v])/([F])=([mv^(2)r])/([(mv^(2))/(r)])=[r^(2)]=` Area