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Work, Energy And Power

Question
CBSEENPH11020570

A 200 W sodium street lamp emits yellow light of wavelength 0.6 um. Assuming it to be 25% efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

  • 1.5 x 1020

  • 6 x 1018

  • 62 x 1020

  • 3 x1019

Solution

A.

1.5 x 1020

 Efficient power P= 
P equals space straight N over straight t space equals space fraction numerator h c over denominator lambda end fraction space equals space 200 space x 0.25
N over t space equals space 50 space x fraction numerator lambda over denominator h c end fraction space equals space 1.5 space x space 10 to the power of 20
space equals fraction numerator 50 space x 0.6 space x space 10 to the power of negative 6 end exponent over denominator 6.6 space x space 10 to the power of negative 34 end exponent space x space 3 x space 10 to the power of 8 end fraction
space equals space 1.5 space x space 10 to the power of 20