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JEE Advanced2006PhysicsDual Nature of MatterActual

The graph between 1 / and stopping potential (V) of three metals having work function ₁, ₂ and ₃ in an experiment of photoelectric effect is plotted as shown in the figure. Which of the following statement(s) is/are correct? [Here is the wavelength of the incident ray].

Options

  1. ARatio of work functions ₁: ₂: ₃=1: 2: 4 .
  2. BRatio of work functions ₁: ₂: ₃=4: 2: 1 .
  3. Cis directly proportional to h c / e , where h is Planck's constant and c is the speed of light.
  4. DThe violet colour light can eject photoelectrons from metals 2 and 3.

Correct answer

A. Ratio of work functions ₁: ₂: ₃=1: 2: 4 .

Step-by-step solution

From the relation, e V= h c - or V= ( h c e ) ( 1 )- e This is equation of straight line. Slope is = h c e aligned ₁: ₂: ₃ & = h c ₀₁ : h c ₀₂ : h c ₀₃ = 1 ₀₁ : 1 ₀₂ : 1 ₀₃ =1: 2: 4 1 ₀₁ & =0.001 ~nm ⁻¹ or ₀₁=10000 Å 1 ₀₂ & =0.002 ~nm ⁻¹ or ₀₂=5000 Å 1 ₀₃ & =0.004 ~nm ⁻¹ or ₀₃=25000 Å aligned Violet colour has wavelength 4000 Å . So, violet colour can eject photoelectrons from metal-1 and metal-2.

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