The sun gives light at the rate of 1500 W/m^2 of area perpendicular to the direction of light. Assume the wavelength of light as 5000Å. Calculate the number of photons/s arriving at 1 m^2 area at that part of the earth.(a) 4.770 × 10^21(b) 3.770 × 10^11(c) 3.770 × 10^21(d) 3.770 × 10^20I got this question by my school teacher while I was bunking the class.The above asked question is from Wave Nature of Matter topic in chapter Dual Nature of Radiation and Matter of Physics – Class 12

The sun gives light at the rate of 1500 W/m^2 of area perpendicular to

1.	The sun gives light at the rate of 1500 W/m^2 of area perpendicular to the direction of light. Assume the wavelength of light as 5000Å. Calculate the number of photons/s arriving at 1 m^2 area at that part of the earth.(a) 4.770 × 10^21(b) 3.770 × 10^11(c) 3.770 × 10^21(d) 3.770 × 10^20I got this question by my school teacher while I was bunking the class.The above asked question is from Wave Nature of Matter topic in chapter Dual Nature of Radiation and Matter of Physics – Class 12
Answer» The correct choice is (c) 3.770 × 10^21 Best explanation: Given: I = 1500 W/m^2; WAVELENGTH = 5000Å Required EQUATION ➔ E=hv=\(\frac {hc}{\lambda }\) Speed of light (c) = 3 × 10^8 m/s Number of photons/s received = n = \(\frac {IA}{E} = \frac {(1500 \times 1) \times (5000 \times 10^{-10})}{6.63 \times 10^{-34} \times 3 \times 10^8} \) n = 3.770 × 10^21 Therefore, the number of electrons received per second is 3.770 × 10^21.

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