If force [F], acceleration [A] and time

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Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

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

Options:

[FAT²]

[FAT^-1]

[FA^-1T]

[FAT]

Correct Answer:

[FAT²]

Explanation:

[E] = [F^aA^bT^c]

[ML²T^-2] = [MLT^-2]^a[LT^-2]^b[T]^c

= [M^aL^a-2bT^-2a-2b+c]

a = 1 ; a - 2b = 2 ; -2a - 2b + c = 2

On solving, a = 1 ; b = 1 ; c = 2

[E] = [FAT²]