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Th e beam of light h as th r ee wavelength s 4144Å, 4972Å and 6216 Å with a total intensity of 3.6 × 10–3 Wm2 equally distributed amongst the three wavelengths. The beam falls normally on the area 1 cm2 of a clean metallic surface of work function 2.3 eV. Assume that there is no loss of light by reflection and that each energetically capable photon ejects one electron. Calculate the number of photoelectrons liberated in 2s.
  • a)
    2 × 109
  • b)
    1.075 × 1012
  • c)
    9 × 108
  • d)
    3.75 × 106
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Th e beam of light h as th r ee wavelength s 4144Å, 4972Å ...
As we know, thresh old wavelength 

⇒ λ0  = 5404 Å
Hence, wavelength 4144 Å and 4972 Å will emit electron from the metal surface.
For each wavelength energy incident on the surface per unit time = intensity of each × area of the surface wavelength 
Therefore, energy incident on the surface for each wavelength in 2s
E = (1.2 × 10–7) × 2 = 2.4 × 10–7 J
Number of photons n1 due to wavelength 4144 Å

Number of photons n2 due to the wavelength 4972 Å

Therefore total number of photoelectrons liberated in 2s,
N = n1 + n2
= 0.5 x 1012 + 0.575 x 1012
= 1.075 x 1012
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Th e beam of light h as th r ee wavelength s 4144Å, 4972Å and 6216 Å with a total intensity of 3.6 × 10–3 Wm2 equally distributed amongst the three wavelengths. The beam falls normally on the area 1 cm2 of a clean metallic surface of work function 2.3 eV. Assume that there is no loss of light by reflection and that each energetically capable photon ejects one electron. Calculate the number of photoelectrons liberated in 2s.a)2 × 109b)1.075 × 1012c)9 × 108d)3.75 × 106Correct answer is option 'B'. Can you explain this answer?
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Th e beam of light h as th r ee wavelength s 4144Å, 4972Å and 6216 Å with a total intensity of 3.6 × 10–3 Wm2 equally distributed amongst the three wavelengths. The beam falls normally on the area 1 cm2 of a clean metallic surface of work function 2.3 eV. Assume that there is no loss of light by reflection and that each energetically capable photon ejects one electron. Calculate the number of photoelectrons liberated in 2s.a)2 × 109b)1.075 × 1012c)9 × 108d)3.75 × 106Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Th e beam of light h as th r ee wavelength s 4144Å, 4972Å and 6216 Å with a total intensity of 3.6 × 10–3 Wm2 equally distributed amongst the three wavelengths. The beam falls normally on the area 1 cm2 of a clean metallic surface of work function 2.3 eV. Assume that there is no loss of light by reflection and that each energetically capable photon ejects one electron. Calculate the number of photoelectrons liberated in 2s.a)2 × 109b)1.075 × 1012c)9 × 108d)3.75 × 106Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Th e beam of light h as th r ee wavelength s 4144Å, 4972Å and 6216 Å with a total intensity of 3.6 × 10–3 Wm2 equally distributed amongst the three wavelengths. The beam falls normally on the area 1 cm2 of a clean metallic surface of work function 2.3 eV. Assume that there is no loss of light by reflection and that each energetically capable photon ejects one electron. Calculate the number of photoelectrons liberated in 2s.a)2 × 109b)1.075 × 1012c)9 × 108d)3.75 × 106Correct answer is option 'B'. Can you explain this answer?.
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