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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]=[L1] and [D]=[T1]
then [DB]=[LT]=[velocity]=[LT1]

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