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MHT CET Medical202625 April 2026Morning ShiftPhysicsDual Nature of MatterActual

A student plots two different graphs using the same photoelectric experiment data. 1. Maximum kinetic energy ( K_ max ) against frequency ( ) 2. Stopping potential ( V_o ) against frequency ( ) Let the slope of graph 1 be S₁ and the slope of graph 2 be S₂ . What is the relationship between the slopes? (h = Planck's constant, e = charge on electron)

Options

  1. AS₁ S₂ = h
  2. BS₁ S₂ = h
  3. CS₁ S₂ = e
  4. DS₁ + S₂ = e

Correct answer

C. S₁ S₂ = e

Step-by-step solution

According to Einstein's photoelectric equation: K_ max = h - Comparing this with the equation of a straight line y = mx + c , the slope of the K_ max versus graph is: S₁ = h The stopping potential V_o is related to maximum kinetic energy by K_ max = eV_o . Substituting this in the photoelectric equation: eV_o = h - V_o = h e - e Comparing this with the equation of a straight line, the slope of the V_o versus graph is: S₂ = h e Taking the ratio of the two slopes: S₁ S₂ = h h e = e Answer: S₁ S₂ = e

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