Dimensional Formula of Energy

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= F^xA^yT^z

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=M^xL^x+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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COMMENTS

Rishu
3 years ago

[F][A][T]^2

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