The dimensions of `("magnetic moment")/("angular momentum")` are

Options

A. `[M^(-1)L^(0)TA]`
B. `[MLA^(-1)T^(-1)]`
C. `[M^(3)LT^(-2)A^(-1)]`
D. `[ML^(-1)T^(2)A^(-1)]`

Answer

A

Explanation

`"Magnetic moment"= Ia= [AL^(2)]`
`"Angular momentum" = mvr= [M]{LT^(-1)][L]= [ML^(2)T^(-1)]`
`:. ("Magnetic moment")/("Angular momentum")= ([AL^(2)])/([ML^(2)T^(-1)])= [M^(-1)L^(0)TA]`