Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Identify the pair whose dimensions are equal
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Identify the dimensions of Torque and Work.
Torque is defined as force multiplied by the distance (lever arm), which is expressed as:
$$ [Torque] = [Force] \times [Distance] = [M][L][T^{-2}] \times [L] = [M][L^{2}][T^{-2}] $$
Work is defined as force multiplied by the distance over which it is applied:
$$ [Work] = [Force] \times [Distance] = [M][L][T^{-2}] \times [L] = [M][L^{2}][T^{-2}] $$
Step 2: Compare Dimensions.
Since both Torque and Work have the dimensions of $$ [M][L^{2}][T^{-2}] $$, they are equal.
Therefore, the correct answer is Option A.
Torque is defined as force multiplied by the distance (lever arm), which is expressed as:
$$ [Torque] = [Force] \times [Distance] = [M][L][T^{-2}] \times [L] = [M][L^{2}][T^{-2}] $$
Work is defined as force multiplied by the distance over which it is applied:
$$ [Work] = [Force] \times [Distance] = [M][L][T^{-2}] \times [L] = [M][L^{2}][T^{-2}] $$
Step 2: Compare Dimensions.
Since both Torque and Work have the dimensions of $$ [M][L^{2}][T^{-2}] $$, they are equal.
Therefore, the correct answer is Option A.
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