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Wave Optics

Question
CBSEENPH12040037

Monochromatic light of wavelength 667 nm is produced by a helium-neon laser. The power emitted is 9 mW. The number of photons arriving per second on the average at a target irradiated by this beam is 

  • 9 x 1017

  • 3 x 1016

  • 9 x 1015

  • 3 x 1019

Solution

B.

3 x 1016

Here space straight lambda space equals space 667 space straight x space 10 to the power of negative 9 end exponent space straight m comma space straight P space equals space 9 space straight x space 10 to the power of negative 3 end exponent space straight W

Power space equals space energy over time
space equals space nhc over λt

equals space Nhc over straight lambda
Where space straight N space is space number space of space photons space emitted space per space sec.
rightwards double arrow space straight N space equals space fraction numerator straight p space straight x space straight lambda over denominator hc end fraction
space equals space fraction numerator 9 space straight x space 10 to the power of negative 3 end exponent space straight x space 667 space straight x space 10 to the power of negative 19 end exponent over denominator 6.6 space straight x space 10 to the power of negative 34 end exponent space straight x space 3 space straight x space 10 to the power of 8 end fraction
space equals space 3 space straight x space 10 to the power of 16 space straight s

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