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QJEEM22Phf1f7: JEE Main 2022 Physics - Class 11 JEEM22Phf1f7 Solution: Identify the pair of physical quantities that have same…

Identify the pair of physical quantities that have same dimensions:

Multiple Choice Options

  • A velocity gradient and decay constant
  • B Wien's constant and Stefan constant
  • C angular frequency and angular momentum
  • D wave number and Avogadro number

Step-by-Step Verified Solution

Velocity gradient =dvdx= {{dv} \over {dx}}

⇒\Rightarrow Dimensions are [LT−1][L]=[T−1]{{[L{T^{ - 1}}]} \over {[L]}} = [{T^{ - 1}}]

Decay constant λ\lambda has dimensions of [T−1][{T^{ - 1}}] because of the relation dNdt=−λ{{dN} \over {dt}} = - \lambda N

⇒\Rightarrow Velocity gradient and decay constant have same dimensions.

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