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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^(2)LT^(-3)]`

B

`[MT^(-2)]`

C

`[LT^(-3)]`

D

`[ML^(3)T^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
B

`(a - t^(2))/(b) = P x rArr [(a - t^(2))/(b)] = [Px]`
`rArr [(a)/(b)] = [Px] = ml^(-1)T^(-2)L = Ml^(-2)`
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