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Dual Nature of Radiation and Matter

  1. A 200 W sodium street lamp emits yellow light of wavelength 0.6 µm. 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. ​1.5 × 1020
    2. 6 × 1018
    3. 62 × 1020
    4. 3 × 1019
Correct Option: A

Give that, only 25% of 200 W converter electrical energy into light of yellow colour

hc
× N = 200 ×
25
λ100

Where N is  the No. of photons emitted per second, h = plank’s constant, c, speed of light.
N =
200 × 25
×
λ
100hc

=
200 × 25 × 0.6 × 10-6
1.5 × 1020
100 × 6.2 × 10-34 × 3 × 108



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