1.

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

Answer» Correct Answer - A
Given `, F = (x)/(sqrtd)`
Substituting dimensions
`MLT^(2) = (x)/(sqrt(ML^(-3)))`
`implies x = [M^(3//2) L^(-1//2) T^(2)]`


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