Question of The Day27-05-2022

If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

Answer

Correct Answer : b ) [F] [A] [T2]

Explanation :

Energy= FxAyTz

The dimensional formula for Energy is ML2T-2. For details, refer notes on Units and Dimensions.

[ML2T-2]= [MLT-2]x [LT-2]y[T]z

ML2T-2=MxLx+yT-2x-2y+z

x=1

x+y=2; y=1

-2x-2y+z=-2

Substituting the values of x and y, we get,

z=2

Therefore, Energy= [F] [A] [T2]

Hence, option (B) is correct.

This question was asked in Physics Section of NEET Exam 2021.

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