Write dimensional formula of energy and acceleration.

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Solution

Energy
The capability of a body to do work is known as energy.
We know that, E=mc²
Thus, the dimensional formula can be given as E = [M] * [L¹T^-1]²( The dimensional formula of c, the velocity of light, is L¹T^-1 )
Therefore, The dimensional formula of energy is M¹L²T^-2
Acceleration
The rate of change of velocity with respect to time is acceleration.
We know that a = v/t where a is acceleration, v is velocity, and t is time.
Thus , the dimensional formula can be given as a = [ M⁰L¹T^-1] * [T ^-1]
The dimensional formula of acceleration is M⁰L¹T^-2

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