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

Answer

D

Explanation

Pressure `=P=(a-t^(2))/(bx)=("Force")/("Area")=(F)/(A)`
`t to "time, A" to` area
`a =[T^2]`
`bx=((AT^2)/(F))`
`b[L]=(L^(2)T^(2))/(MLT^(-2))`
`b=M^(-1)L^(0)T^(4)`
`(a)/(b)=(T^2)/(M^(-1)L^(0)T^(4))=ML^(0)T^(-2)`