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If force =(X)/(density)+C is dimensional...

If force `=(X)/(density)+C` is dimensionally correct, the dimensions of `X` are :

A

`MLT^(-2)`

B

`MLT^(-3)`

C

`ML^(2)T^(-3)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Here Force has dimensions of `(X)/("density")`
`:.X=`Force `xx` density
or `X=[MLT^(-2)xxML^(-3)]`
`=[M^(2)L^(-2)T^(-2)]`
`:.(d)` is correct.
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