Identify the pair whose dimensions are equal force and work torque and work stress and energy force and stress

The correct option is B. The dimensions of torque and work are equal. Both have dimensions as [ML²T⁻²] Explaination: Work (W) = F.s = Fs cosθ = [MLT⁻²][L] = [ML²T⁻²]; Torque =r×F=rFsinθ = [L] [MLT⁻²] = [ML²T⁻²] So dimension of torque and work are same. Video Solution :: https://youtu.be/5tqfmi1vh0E

Identify the pair whose dimensions are equal

force and work
torque and work
stress and energy
force and stress

Doubtly Asked 30 May 2021 Student doubt measusrement Save WhatsApp Report

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The correct option is B.

The dimensions of torque and work are equal. Both have dimensions as [ML²T^-2]

Explaination:

Work (W) = \(\vec{F}.\vec{s} = Fs cosθ \)
= [MLT^-2][L] = [ML²T^-2];

Torque \(=\vec{r}\times\vec{F}=rF\sin\theta\)

= [L] [MLT^-2] = [ML²T^-2]

So dimension of torque and work are same.

Video Solution ::

https://youtu.be/5tqfmi1vh0E

Doubtly · 30 May 2021 Report

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Identify the pair whose dimensions are equal

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