Match the physical quantities in List I with their dimensional formulae in List II.
List I:
A. Planck's constant
B. Stopping potential
C. Work function
D. Threshold frequency
List II: I. [M L² T⁻²] II. [T⁻¹] III. [M L² T⁻¹] IV. [M L² T⁻³ A⁻¹]
Choose the correct matching.

Question

Match the physical quantities in List I with their dimensional formulae in List II.

List I:
A. Planck's constant
B. Stopping potential
C. Work function
D. Threshold frequency

List II: I. [M L² T⁻²] II. [T⁻¹] III. [M L² T⁻¹] IV. [M L² T⁻³ A⁻¹]

Choose the correct matching.

G1 Physics · Accepted Answer

Planck's constant is obtained from E = hν. Therefore, [h] = [E] ÷ [ν] = [M L² T⁻²] ÷ [T⁻¹] = [M L² T⁻¹]. Hence A → III. Stopping potential V₀ is related to energy by E = qV₀. Therefore, [V₀] = [E] ÷ [q] = [M L² T⁻²] ÷ [A T] = [M L² T⁻³ A⁻¹]. Hence B → IV. Work function φ is an energy, so [φ] = [M L² T⁻²]. Hence C → I. Threshold frequency ν₀ has dimensions [ν₀] = [T⁻¹]. Hence D → II. Correct matching: A–III, B–IV, C–I, D–II. Correct option: A.

Match the physical quantities in List I with their dimensional formulae in List II. List I: A. Planck's constant B. Stopping potential C. Work function D. Threshold frequency List II: I. [M L² T⁻²] II. [T⁻¹] III. [M L² T⁻¹] IV. [M L² T⁻³ A⁻¹] Choose the correct matching.