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. `ML^1T^(-1)`
B. `ML^2T^(-1)`
C. `ML^0T^(-2)`
D. `M^0L^(-1)`

Answer

C

Explanation

`P = (a - t^2)/(bx) = (a)/(bx) - (t^2)/(bx)`
By the principle of homogeneity.
`P = a/(bx) (1. theta..) ("force")/("area") = a/(bx)`
`ML^(-1)T^(-2) = a/b [1/L] implies a/b = MT^(-2)`