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The force F and density d are related by...

The force F and density d are related by `F=(x)/(sqrt(d))` . The dimensions of x are

A

`[M^(3//2)L^(-1//2)T^(2)]`

B

`[M^(3//2)L^(1//2)T^(-2)]`

C

`[M^(3//2)L^(-1//2)T^(-2)]`

D

`[M^(-3//2)L^(1//2)T^(-2)]`

Text Solution

Verified by Experts

The correct Answer is:
C
`x=Fsqrt(d)impliesx=MLT^(-2)xx[ML^(-3)T^(0)]^(1//2)`
`=MLT^(-2)xxM^((1)/(2))L^(-3//2)`
`x=M^(3//2)L^(-1//2)T^(-2)`.
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