HC Verma: Concepts of Physics - Volume 2 Photoelectric Effect and Wave-Particle Duality Pages 365-366: Q4 Solution: Calculate the number of photons emitted per second by a 10 W…

QPages 365-366: Q4: HC Verma: Concepts of Physics - Volume 2 Photoelectric Effect and Wave-Particle Duality Pages 365-366: Q4 Solution: Calculate the number of photons emitted per second by a 10 W…

Calculate the number of photons emitted per second by a 10 W sodium vapour lamp. Assume that 60% of the consumed energy is converted into light. Wavelength of sodium light = 590 nm. Use

h = 6.63 \times 10^{-34} \text{ J-s} = 4.14 \times 10^{-15} \text{ eV-s}

c = 3 \times 10^8 \text{ m/s}

and

m_e = 9.1 \times 10^{-31} \text{ kg}

)

Step-by-Step Verified Solution

**Answer:**

n = 1.78 \times 10^{19}

photons/s. **Step-by-Step Explanation:** Light power =

0.6 \times 10 = 6

W. Energy per photon:

E = \frac{1240}{590} = 2.10

= 2.10 \times 1.6 \times 10^{-19} = 3.36 \times 10^{-19}

J. Number of photons per second:

n = \frac{6}{3.36 \times 10^{-19}} = 1.78 \times 10^{19}

QPages 365-366: Q4: HC Verma: Concepts of Physics - Volume 2 Photoelectric Effect and Wave-Particle Duality Pages 365-366: Q4 Solution: Calculate the number of photons emitted per second by a 10 W…

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