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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Units and Dimensions

NEET 2013 · Physics · Units and Dimensions

The pair of quantities having same dimensions is:

The pair of quantities having same dimensions is:

Options

  1. AImpulse and Surface Tension
  2. BAngular momentum and Work
  3. CWork and Torque
  4. DYoung's modulus and Energy

Correct answer

C. Work and Torque

Step-by-step solution

(1)  Torque = F.S. =[MLT−2][L]=[ML2T−2]\begin{aligned}\text{ Torque }=\text{ F.S. }& =\left[\mathrm{MLT}^{-2}\right][\mathrm{L}]\\ & =\left[\mathrm{ML}^2 \mathrm{ T}^{-2}\right] \end{aligned} correct option is (3) (2) Angular moment = M.I. ×\times angular velocity =[ML2][T−1]=[ML2T−1] Work =F.S.=[MLT−2][L]=[ML2T−2]\begin{aligned} =\left[\mathrm{ML}^2\right]\left[\mathrm{T}^{-1}\right]& =\left[\mathrm{ML}^2 \mathrm{ T}^{-1}\right]\\ \text{ Work }= F . S . & =\left[\mathrm{MLT}^{-2}\right][\mathrm{L}]\\ & =\left[\mathrm{ML}^2 \mathrm{ T}^{-2}\right] \end{aligned}(3) Work =\left[\mathrm{ML}^2 \mathrm{ T}^{-2}\right]fromRelatedTheory(1)from Related Theory (1) Impluse = force × time =[MLT−2][T]=[MLT−1] Surface tension = Force  length =[MLT−2][L]=[MT−1]\begin{aligned} & \text{ Impluse }=\text{ force } \times \text{ time }\\ &=\left[ M L T^{-2}\right][T]=\left[M L T^{-1}\right] \\ & \text{ Surface tension }=\frac{\text{ Force }}{\text{ length }}=\\ & \frac{\left[M L T^{-2}\right]}{[L]}=\left[ M T^{-1}\right] \end{aligned}$
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