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JEE Main 20179 AprilOnline
Exam
JEE Main
Year
2017
Date
9 April
Mode
Online
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2017 · 9 April · Online · Physics · Dual Nature of Matter

A laser light of wavelength 660nm is used to weld Retina...

A laser light of wavelength 660nm660nm is used to weld Retina detachment. If a laser pulse of width 60ms60ms and power 0.5kW0 . 5kW is used, the approximate number of photons in the pulse are (Take Planck's Constant, h=6.62×10−34Js)h = 6.62 \times {10}^{- 34}Js )

Options

  1. A1022{10}^{22}
  2. B1019{10}^{19}
  3. C1020{10}^{20}
  4. D1018{10}^{18}

Correct answer

C. 1020{10}^{20}

Step-by-step solution

The energy of photon is given by E=hcλE = \dfrac{hc}{\lambda}.

Power(P)\left(P\right) is given as, P=Et=nhc\lambdatP = \dfrac{E}{t} = \dfrac{nhc}{\lambdat}

From the above equation, the number of photons is n=P\lambdathcn = \dfrac{P\lambdat}{hc}

=0.5×103×660×10−9×60×10−36.6×10−34×3×108= 0.5 \times {10}^{3} \times \dfrac{660 \times {10}^{- 9} \times 60 \times {10}^{- 3}}{6.6 \times {10}^{- 34} \times 3 \times {10}^{8}}

Hence, number of photons in the pulse are=100×1018=1020= 100 \times {10}^{18} = {10}^{20}.

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