Force is given by the expression F = A cos (Bx) + C cos (Dt), where x is displacement and t is time. The dimension of `(D)/(R )` is same as that of

Options

A. velocity
B. velocity gradient
C. angular velocity
D. angular momentum

Answer

a

Explanation

From dimension logic, the quantities of same dimensions can be added or subtracted, so
[Bx] = [Dt] similarly
`implies [(x)/(t)] = [(D)/(B)] implies [(D)/(B)] = ([L])/([T])`
`implies` Dimension of `(D)/(B) = [LT^(-1)]`
`[LT^(-1)]` is the dimension of velocity.