Write the dimensions of a//b in the rela...

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 .

A

`[M^(1)L^(0)T^(-2)]`

B

`[M^(1)L^(2)T^(-2)]`

C

`[M^(1)L^(1)T^(-1)]`

D

`[M L^(1)T^(-2)]`

Verified by Experts

The correct Answer is:

A

The dimension ………….
`[P] = [(a)/(bx)] = [ct^(2))/(bx)]`
`[M^(-1)L^(-1)T^(2)]= [(a)/(b)][(1)/(L)] implies [(a)/(b)] = [MT^(2)]`

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