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NEETPhysicsDual Nature of Matter

The graph showing the variation of stopping potential ( V₀ ) with the reciprocal of the wavelength ( 1 ) of the incident light for a photosensitive material has an x -intercept of 2.5 10^6 m ⁻¹ . Which of the following incident wavelengths will not give rise to the photoelectric effect?

Options

  1. A350 nm
  2. B500 nm
  3. C300 nm
  4. D250 nm

Correct answer

B. 500 nm

Step-by-step solution

According to Einstein's photoelectric equation: eV₀ = hc - Rearranging for stopping potential V₀ : V₀ = hc e ( 1 ) - e The x -intercept of the V₀ versus 1 graph occurs when the stopping potential V₀ = 0 . At this point, hc e ( 1 ) = e , which means 1 = hc . This specific value of 1 corresponds to the reciprocal of the threshold wavelength ( 1 ₀ ). Given the x -intercept is 2.5 10^6 m ⁻¹ : 1 ₀ = 2.5 10^6 m ⁻¹ ₀ = 1 2.5 10^6 m = 0.4 10⁻⁶ m = 400 nm For the photoelectric effect to occur, the incident wavelength must b

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