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JEE Main 2010
Exam
JEE Main
Year
2010
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2010 · Physics · Dual Nature of Matter

Statement-1 : When ultraviolet light is incident on a photocell,...

Statement-1 : When ultraviolet light is incident on a photocell, its stopping potential is V0V_0 and the maximum kinetic energy of the photoelectrons is Kmax⁡\mathrm{K}_{\max }. When the ultraviolet light is replaced by X−\mathrm{X}- rays, both V0\mathrm{V}_0 and Kmax⁡\mathrm{K}_{\max } increase. Statement-2 : Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light. Of the four choices given after the statements, choose the one that best describes the two statements.

Options

  1. AStatement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
  2. BStatement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement- 1.
  3. CStatement-1 is false, Statement-2 is true.
  4. DStatement-1 is true, Statement- 2 is false.

Correct answer

D. Statement-1 is true, Statement- 2 is false.

Step-by-step solution

Since the frequency of ultraviolet light is less than the frequency of XX-rays, the energy of each incident photon will be more for X-rays K.Ephotoelectron=hv−φK.E_{photoelectron} =h v-\varphi Stopping potential is to stop the fastest photoelectron V0=so,KEEmax⁡andV0bothincreases.ButK.ErangesfromzerotoK.E\mathrm{V}_{0}= so, \mathrm{K}_{\mathrm{E}} \mathrm{E}_{\max } and \mathrm{V}_0 both increases. But K.E ranges from zero to K.E E_{\max }becauseoflossofenergyduetosubsequentcollisionsbeforegettingejectedandnotduetorangeoffrequenciesintheincidentlight.because of loss of energy due to subsequent collisions before getting ejected and not due to range of frequencies in the incident light.
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