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JEE Main 2003
Exam
JEE Main
Year
2003
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2003 · Physics · Units and Dimensions

The physical quantities not having same dimensions are

The physical quantities not having same dimensions are

Options

  1. Atorque and work
  2. Bmomentum and Planck's constant
  3. Cstress and Young's modulus
  4. Dspeed and (μ0ε0)−1/2\left(\mu_0 \varepsilon_0\right)^{-1 / 2}

Correct answer

B. momentum and Planck's constant

Step-by-step solution

[[ momentum ]=[M][L]]=[\mathrm{M}][\mathrm{L}]\left[\mathrm{T}^{-1}\right]=[MLT−1]\left[\mathrm{MLT}^{-1}\right] (Planck's Constant) =Eu=[M][LT−1]2 T−1=ML2 T−1=\frac{E}{\mathrm{u}}=\frac{[\mathrm{M}]\left[\mathrm{LT}^{-1}\right]^2}{\mathrm{~T}^{-1}}=\mathrm{ML}^2 \mathrm{~T}^{-1}
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