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^(@)T^(-2)`
B. `ML^(@)T^(-3)`
C. `ML^(@)T^(2)`
D. `MLT^(-2)`

Answer

B

Explanation

A has the dimension `T^(2)," "a=T,=(T^(2))/(pxxx)=(T^(2))/(ML^(-1)T^(-2)xxL)=(T^(4))/M=M^(-1)T^(4)" " :. a/b=T/(M^(-1)T^(4))=MT^(-3)`