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Tamil Nadu Board of Secondary EducationHSC Science Class 12

A 150 W lamp emits light of the mean wavelength of 5500 Å. If the efficiency is 12%, find out the number of photons emitted by the lamp in one second.

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Question

A 150 W lamp emits light of the mean wavelength of 5500 Å. If the efficiency is 12%, find out the number of photons emitted by the lamp in one second.

Numerical
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Solution

P = 150 W

λ = 5500 × 10−10 m

Efficiency = 12%

N = `("P"λ)/"hc"`

= `(150 xx 5500 xx 10^-10)/(6.626 xx 10^-34 xx 3 xx 10^8)`

= `(825 xx 10^-7)/(19.878 xx 10^-26)`

= 41.5 × 1019

Number of photons emitted is with 12% efficiency = `41.5 xx 10^19 xx 12/100`

N = 4.98 × 1019

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Chapter 8: Dual Nature of Radiation and Matter - Evaluation [Page 138]

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Samacheer Kalvi Physics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 8 Dual Nature of Radiation and Matter
Evaluation | Q IV. 4. | Page 138

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