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Force F is given by the equation F=(X)/(...

Force F is given by the equation `F=(X)/("Linear density")`. Then dimesions of X are

A

`[M^(2)L^(0)T^(-2)]`

B

`[M^(2)L^(0)T^(-1)]`

C

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

D

`[M^(0)L^(0)T^(-2)]`

Text Solution

Verified by Experts

`F = (X)/("Linear density")`
Dimension of `F = [MLT^(-2)]`
Dimension of linear density = `[ML^(-1)]`
`therefore " "` X = (linear density)
`= [MLT^(-2)][ML^(-1)] = [M^(2)L^(0)T^(-2)]`
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