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If power of light 10kw and wavelength 300nm then find no of photon per sec?
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If power of light 10kw and wavelength 300nm then find no of photon per...
Calculation of the Number of Photons per Second

Given:
Power of light = 10 kW
Wavelength = 300 nm

To find the number of photons per second, we can use the equation:

Energy of a Photon (E) = Planck's constant (h) × Speed of light (c) / Wavelength (λ)

Where:
Planck's constant (h) = 6.626 × 10^-34 J·s
Speed of light (c) = 3 × 10^8 m/s

Step 1: Convert Power from kilowatts to watts

10 kW = 10,000 W

Step 2: Calculate the Energy of a Single Photon

E = (6.626 × 10^-34 J·s) × (3 × 10^8 m/s) / (300 × 10^-9 m)
E ≈ 6.626 × 10^-34 × 3 × 10^8 / 300 × 10^-9
E ≈ 6.626 × 10^-34 × 10^9 / 300
E ≈ 2.2087 × 10^-16 J

Step 3: Calculate the Number of Photons per Second

Number of photons per second = Power / Energy of a single photon
Number of photons per second = 10,000 W / (2.2087 × 10^-16 J)
Number of photons per second ≈ 4.521 × 10^19 photons/s

Therefore, the number of photons per second for a light power of 10 kW and a wavelength of 300 nm is approximately 4.521 × 10^19 photons/s.
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