Identify the pair, whose dimensions are equal:(A) Torque and work (B) Stress and energy(C) Force and stress (D) Force and work
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Dear Student,
◆ Answer -
(A) Torque and work
● Explanation -
Torque is calculated as -
Torque = Force × Perpendicular distance
Dimensions of torque are -
[Torque] = [Force] × [Perpendicular distance]
[Torque] = [L1M1T-2] × [L]
[Torque] = [L2M1T-2]
Work is calculated as -
Work = Force . Displacement
Hence, dimensions of work are -
[Work] = [Force] . [Displacement]
[Work] = [L1M1T-2] . [L]
[Work] = [L2M1T-2]
Hence,
[Torque] = [Work]
Hope this helps you...
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