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

Options

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

Answer

C

Explanation

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