The energy E of a particle at position x at time t is given byE=a/t(b+x^2)where a and b are constants. The dimensional formula of a is
MLT-1
ML2T-1
ML4T-1
ML3T-1
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The correct answer is .
Explanation:
Dimensional formula of =
The dimensional formula of b is equal to the dimensional formula of because they are in addition.
Dimensional formula of b =
By the given equation,
Dimensional formula of a = Dimensional formula of t × Dimensional formula of E × dimensional formula of b
= T××
=
So, the dimensional formula of a is .
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