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Q.

A bulb is labelled as 150 watt, and only 8% of the energy is emitted as light of wave length 4500A°. The no.of photons emitted by the bulb in one second is

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a

6.0×1018

b

6.0×1023

c

2.72×1019

d

1018

answer is C.

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Detailed Solution

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Total energy of light radiation emitting large number of photons = nhc/λ
where,
n=number of photons emitted per sec
Energy of each photon of wavelength λ=4500 Ao,
(E)=hcλ=6×10-34×3×1084500×10-10=4×10-19 J
Energy emitted by 150 watt with emission of light = 8 %=     150×8100=12 W=12 J/s               
But 1 watt=1 J/sec
Let n be the number of photons of light emitted.
n × energy of a photon = Total energy emitted by bulb as light radiation
          n×4×10−19=12
Number of photons emitted/second=n=124×10-19=3×1019

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