Question

The force F is given in terms of time t and displacement x by the equation F = A cos Bx + C sin Dt. The dimensional formula of DB is:

Solution

The correct option is **D**

In the given equation 'Bx' and 'Dt' should be dimensionless.

⇒X=[L]

[B]=[L−1] and [D]=[T−1]

then [DB]=[LT]=[velocity]=[LT−1]

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