CBSE Class 12 · 2023 · Modern PhysicsLong Answer

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(a) The figure shows the variation of photoelectric current measured in a photo-cell circuit as a function of the potential difference between the plates of the photo-cell when light beams A, B, C and D of different wavelengths are incident on the photo-cell. Examine the figure and answer: (i) Which light beam has the highest frequency and why? (ii) Which light beam has the longest wavelength and why? (iii) Which light beam ejects photoelectrons with maximum momentum and why?

Answer: (i) B (highest frequency),
(ii) C (longest wavelength),
(iii) B (maximum momentum).

Solution

The stopping potential (where each curve meets the potential axis on the retarding side) fixes the maximum kinetic energy, through .
(i) **Highest frequency beam B**: it has the greatest stopping potential, hence the largest and (for the same metal) the highest frequency.
(ii) **Longest wavelength beam C**: it has the smallest stopping potential, hence the lowest frequency and therefore the longest wavelength ().
(iii) **Maximum momentum beam B**: the largest means the largest electron speed, and momentum is greatest for beam B.

CBSE Class 12 Board · 2023 · Subjective

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