The force is given in terms of time t an...

The force is given in terms of time t and displacement x by the equation
F = A cos Bx + C sin Dt
The dimensional formula of `(AD)/(B) ` is :

A

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

B

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

C

`[M^(0) LT^(-1)]`

D

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

Verified by Experts

The correct Answer is:

D

[A] `=[MLT^(-2)]`
[B] =`[L^(-1)]`
[D] `= [T^(-1)]`
`[(AD)/B]=([MLT^(-2)][T^(-1)])/([L^(-1)])`
`[(AD)/B]=[ML^(2)T^(-3)]`

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