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When a monochromatic point source of light is at a distance of 0.2m from a photocell, the cut-off voltage and saturation current are 0.6V and 18mA respectively.If the same source is placed 0.6m away from the photoelectric cell, then the stopping potential will be 0.2 V the stopping potential will be 0.6V the saturation potential will be 6mA answer is b. I could not solve the question. Please help to do it.

When a monochromatic point source of light is at a distance of 0.2m from a photocell, the cut-off voltage and saturation current are 0.6V and 18mA respectively.If the same source is placed 0.6m away from the photoelectric cell, then
 
  1. the stopping potential will be 0.2 V
  2. the stopping potential will be 0.6V
  3. the saturation potential will be 6mA      
answer is b. I could not solve the question. Please help to do it.

Grade:12

2 Answers

Mallikarjun Maram
50 Points
9 years ago
When the distance of the source is increased, the intensity of light falling on the photcell is reduced.  It does not reduce the energy of individual photons that are incident on the cell.  Hence maximum KE of emmitted photo electrons will be same as before.  Stopping potential and maximum KE are related by KEmax = eV.  Since KEmax is not changing, stopping potential will not change.
However, as the intensity is reduced, number of photoelectrons emmitted will be reduced and hence saturation current will reduce.  However it will not be 6mA (option C), as the intensity varies inversely with square of the distance.
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

As the distance of the source is increased, the intensity of light falling on the photcell is reduced.
It does not reduce the energy of individual photons that are incident on the cell.
Hence maximum KE of emmitted photo electrons will be same as before.
Stopping potential and maximum KE are related by
KEmax = eV.
Since KEmax is not changing, stopping potential will not change.
However, as the intensity is reduced, number of photoelectrons emmitted will be reduced and hence saturation current will reduce.
However it will not be 6mA (option C), as the intensity varies inversely with square of the distance.

Thanks and Regards

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