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. `[M^(2)LT^(-3)]`
B. `[MT^(-2)]`
C. `[LT^(-3)]`
D. `[ML^(3)T^(-1)]`

Answer

B

Explanation

`[a]=T^(2)`
`[X]=L`
`[P]=ML^(-1)T^(-2)=T^(2)/[b]L`
`[b]=T^(2)/ML^(-1)T^(-2)L=M^(-1)T^(4)`
`[a]/[b]=T^(2)/M^(-1)T^(4)=MT^(-2)`