A particle of mass m is in a uni-directional potential field where the potential energy of a particle depends on the x-coordinate given by `phi_(x)=phi_(0) (1- cos ax)` & `'phi_(0)'` and 'a' are constants. Find the physical dimensions of 'a' & `phi_(0)`.

Answer

`L^(-1), ML^(2)T^(-2)`

Explanation

Dimensions of `ax=M^(@)L^(@)T^(@)`
`rArr [a]=(M^(@)L^(@)T^(@))/([L])=L^(-1)` and `[phi_(0)]=[M^(1)L^(2)T^(-2)]`