Write the dimensions of `a xx b `in the relation `E = ( b - x^(2))/( at)`, where `E` is the energy , `x` is the displacement , and `t` is the time.

Options

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

Answer

B

Explanation

Here , `b and x^(2) = L^(2)` have same dimensions.
Also, ` a = (L^(2))/(E xx t) = (L^(2))/((ML^(2)T^(-2))T) = M^(-1)T^(1)`
`a xx b = [ M^(-1) L^(2) T^(1)]`