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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

The dimensions of resistance are the same as (where h is the...

The dimensions of resistance are the same as (where hh is the Plank's constant and ee is the charge)

Options

  1. Ah2e2\dfrac{h^{2}}{e^{2}}
  2. Bh2e\dfrac{h^{2}}{e}
  3. Che2\dfrac{h}{e^{2}}
  4. Dhe\dfrac{h}{e}

Correct answer

C. he2\dfrac{h}{e^{2}}

Step-by-step solution

Resistance, R=Vi=WqiR = \dfrac{V}{i} = \dfrac{W}{qi}

=[ML2T−2][A2T]= \dfrac{ \left[{ML}^{2}T^{- 2}\right]}{ \left[A^{2}T\right]}

R = \left[{ML}^{2} T^{- 3}A^{- 2}\right]<br/><br/>\left[\dfrac{h}{e^{2}}\right] = \dfrac{ \left[{ML}^{2} T^{- 1}\right]}[AT]2{{ \left[AT\right] }^{2}}

=[ML2T−3A−2]= \left[{ML}^{2}T^{- 3}A^{- 2}\right]
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