JEE Main20264 April 2026Evening ShiftPhysicsDual Nature of MatterActual
Match the List-I with List-II List-I List-II A. Planck's constant I. ML^2T⁻² B. Stopping potential II. T⁻¹ C. Work function III. ML^2T⁻¹ D. Threshold frequency IV. ML^2T⁻³A⁻¹ Choose the correct answer from the options given below:
Options
- AA-III, B-IV, C-I, D-II
- BA-I, B-II, C-III, D-IV
- CA-IV, B-III, C-I, D-II
- DA-I, B-IV, C-III, D-II
Correct answer
A. A-III, B-IV, C-I, D-II
Step-by-step solution
The dimensional formula for Planck's constant h is obtained from E = h . [h] = [E] [ ] = ML^2T⁻² T⁻¹ = ML^2T⁻¹ The dimensional formula for stopping potential V₀ is obtained from eV₀ = E . [V₀] = [E] [e] = ML^2T⁻² AT = ML^2T⁻³A⁻¹ Work function is a form of energy, so its dimensional formula is the same as that of energy. [ Work function ] = ML^2T⁻² Threshold frequency has the dimensional formula of frequency. [ Threshold frequency ] = T⁻¹ Therefore, the correct matching is A-III, B-IV, C-I, D-II. Answer: A-III, B-IV