MHT CET202611 April 2026Evening ShiftPhysicsDual Nature of MatterActual
Photoelectrons are emitted from two similar metal plates when wavelengths ₁ and ₂ are incident on them ( ₁ = 1.5 ₂ ). If maximum kinetic energy of emitted photoelectrons is E₁ and E₂ respectively then
Options
- AE₁ < 2E₂/3
- BE₁ = 2E₂/3
- CE₁ = E₂/3
- DE₁ = 2E₂
Correct answer
A. E₁ < 2E₂/3
Step-by-step solution
Using Einstein's photoelectric equation: E₁ = hc ₁ - E₂ = hc ₂ - Given ₁ = 1.5 ₂ = 3 2 ₂ , we can write: E₁ = 2hc 3 ₂ - From the second equation, hc ₂ = E₂ + . Substituting this into the equation for E₁ : E₁ = 2 3 (E₂ + ) - E₁ = 2 3 E₂ - 1 3 Since the work function > 0 , it follows that: E₁ Answer: E₁ < 2E₂/3