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JIPMER2016PhysicsDual Nature of Matter

The graph 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 one of the following statement is/are correct? [Here is the wavelength of the incident ray] (i) Ratio of work functions ₁: ₂: ₃=1: 2: 4 (ii) Ratio of work functions ₁: ₂: ₃=4: 2: 1 (iii) h c e , where h= Planck's constant, c= speed of light (iv) The v

Options

  1. A(i), (iii)
  2. B(i), (iv)
  3. C(ii), (iii)
  4. D(i), (ii) and (iv)

Correct answer

A. (i), (iii)

Step-by-step solution

According to Einstein photoelectric equation, aligned E & =K_ + h c & = +e V_S V_S & = [ h c - ] 1 e aligned V_S versus 1 graph is a straight line. Slope, = h c e The curves intersect the 1 axis, where V_S is zero. aligned & h c - & =0 & 1 & = h c aligned For metal 1 For metal 2 For metal 3 array cc & ₁ h c =0.001 ₂ h c =0.002 ₃ h c =0.004 & ₁: ₂: ₃=1: 2: 4 array For metal 2, threshold wavelength, O ₂= h c = 1 0.002 =500 ~nm Similarly, o ₃=250 ~nm _ violet =400 ~nm So _ violet _ threshold for metal 1 , _ violet ^ v

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