Write the dimensions of `a//b` in the relation `P = ( a - t^(2))/( bx)` , where `P` is the pressure , `x` is the distance , and `t` is the time .

Options

A. `[M^(1)L^(0)T^(-2)]`
B. `[M^(1)L^(2)T^(-2)]`
C. `[M^(1)L^(1)T^(-1)]`
D. `[M L^(1)T^(-2)]`

Answer

A

Explanation

The dimension ………….
`[P] = [(a)/(bx)] = [ct^(2))/(bx)]`
`[M^(-1)L^(-1)T^(2)]= [(a)/(b)][(1)/(L)] implies [(a)/(b)] = [MT^(2)]`