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What is the dimensional formula of the t...

What is the dimensional formula of the term `(a)/(b)` in the equation `P=((a+x)/(b))`, where P is the pressure and x is the distance?

A

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

B

`[ML^(-1)T^(-2)]`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
b
`P=(a+x)/(b)=(a)/(b)+(x)/(b)`
`therefore` Dimensions of P = Dimension of `(a)/(b)`
`therefore [(a)/(b)]=[P]=[(F)/(A)]=[(M^(1)L^(1)T^(-2))/(L^(2))]=[M^(1)L^(-1)T^(-2)]`
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