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  • Answer please! Identify the pair whose dimensions are equal.

Identify the pair whose dimensions are equal.

Option 1)

torque and work

 Option 2)

stress and energy
Option 3)

force and stress

 Option 4)

force and work.

Answers (3)

best_answer

Torque and work have the same dimensions .

Using as we learnt in:

Work, Potential Energy, Kinetic Energy, Torque -

\dpi{100} ML^{2}T^{-2}

 

- wherein

N-mt/Joule

 

 

 


Option 1)

torque and work

torque and work

Torque  \vec{\tau }= \vec{r}\times \vec{f}

Work w= \vec{f}\times \vec{r}

( Hence both are product of \vec{r} and \vec{f} and hence both has same dimension).

Option 2)

stress and energy

stress and energy

Stress = \frac{force}{area} and energy is product of force and displacement.

Hence Energy and stress have different dimension.

Option 3)

force and stress

force and stress

Stress = \frac{force}{area}

Hence dimension of stress is different from force.

Option 4)

force and work.

force and work.

Work - Force \times displacement

Hence dimension of force and work are different .

 

Posted by

perimeter

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JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Force and accelercition

Velocity and energy

Monentum and impulse

Work and power

Right option

 

 

Posted by

Nirdesh solanki

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