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The dimensions of a/b in the equation P=...

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

A

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

B

`ML^(0)T^(-2)`

C

`ML^(0)T^(2)`

D

`MLT^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here `.a.` has the same dimensions as `t^(2),` i.e. `[t^(2)]`
`b=(T^(2))/(P.x)=(T^(2))/(ML^(-1)T^(-2)L^(1))=(T^(4))/(M)=[M^(-1)T^(4)]`
Now`(a)/(b)=(T^(2))/(M^(-1)T^(4))=ML^(0)T^(-2).`
Hence correct answer is `(b)`.
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