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The relation between force F and density...

The relation between force `F` and density `d` is `F=(x)/(sqrt(d))`.
The dimension of `x` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Subsituting dimensions, `["MLT"^(-2)]=(x)/(sqrt(["ML"^(-3)]))`
`rArr" "x=["M"^(3//2)"L"^(-1//2)"T"^(-2)]`
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