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. `ML^(0)T^(-2)`
C. `ML^(0)T^(2)`
D. `MLT^(-2)`

Answer

2

Explanation

`P=F//A=MLT^(-2)//L^(2)=ML^(-1)T^(-2)`
`b=(t^(2))/(Px)=(T^(2))/(ML^(-1)T^(-2)L)=M^(-1)T^(4)`
`a=Pbx=T^(2)`
`(a)/(b)=M^(1)L^(0)T^(-2)`