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The threshold frequency ν₀ for a metal is related to its work function by

A{'text': 'φ₀ = h ν₀²', 'label': 'A'}
B{'text': 'φ₀ = h/ν₀', 'label': 'B'}
C{'text': 'φ₀ = ν₀/h', 'label': 'C'}
D{'text': 'φ₀ = hν₀', 'label': 'D'}
Answer & Solution
Correct answer: D. {'text': 'φ₀ = hν₀', 'label': 'D'}
1. At threshold frequency, incident photons exactly free electrons with K_max = 0. 2. Einstein's equation: hν = φ₀ + K_max. 3. Setting ν = ν₀ and K_max = 0: hν₀ = φ₀. 4. Below ν₀, photons have too little energy to overcome φ₀ and no photoemission occurs. _Source: NCERT Class 12 Physics, Ch 11 "Dual Nature of Radiation and Matter", §11.5_
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