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JEE Mains · Physics · STD 11 - Units,dimensions and measurement
  • JEE Mains 2026
  • Medium
  • MCQ

Match the LIST-I with LIST-II
List-IList-II
A. Planck's constantI. \(ML^2T^{-2}\)
B. Stopping potentialII. \(T^{-1}\)
C. Work functionIII. \(ML^2T^{-1}\)
D. Threshold frequencyIV. \(ML^2T^{-3}A^{-1}\)

Choose the correct answer from the options given below:

Pick an option to check your answer.
Verified Solution

Answer & Solution

Correct Answer

(A) A-III, B-IV, C-I, D-II

Step-by-step Solution

Detailed explanation

The dimensional formula for Planck's constant \(h\) is obtained from \(E = h\nu\).

\([h] = \dfrac{[E]}{[\nu]} = \dfrac{ML^2T^{-2}}{T^{-1}} = ML^2T^{-1}\)

The dimensional formula for stopping potential \(V_0\) is obtained from \(eV_0 = E\).

\([V_0] = \dfrac{[E]}{[e]} = \dfrac{ML^2T^{-2}}{AT} = ML^2T^{-3}A^{-1}\)

Work function is a form of energy, so its dimensional formula is the same as that of energy.

\([\text{Work function}] = ML^2T^{-2}\)

Threshold frequency has the dimensional formula of frequency.

\([\text{Threshold frequency}] = T^{-1}\)

Therefore, the correct matching is A-III, B-IV, C-I, D-II.

Answer: A-III, B-IV, C-I, D-II
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