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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