Calculation of number of photons emitted by a sodium lamp

Given:
Power of sodium lamp, P = 60 W
Wavelength of radiation emitted, λ = 6000 Å
Time period, t = 10 hours

Formula:
Energy of a photon, E = hc/λ
where h is Planck’s constant and c is the speed of light.

Number of photons, n = Pt/E

Calculation:
First, we need to calculate the energy of a single photon using the given wavelength.
E = hc/λ
E = (6.626 x 10^-34 Js) x (3 x 10^8 m/s) / (6000 x 10^-10 m)
E = 3.31 x 10^-19 J

Now, we can calculate the number of photons emitted by the sodium lamp.
n = Pt/E
n = (60 W x 10 x 3600 s) / (3.31 x 10^-19 J)
n = 6.32 x 10^24 photons

Therefore, the sodium lamp will emit approximately 6.32 x 10^24 photons in 10 hours.

Explanation:
The given problem requires us to calculate the number of photons emitted by a sodium lamp in a given period of time. To solve this problem, we need to use the formula for the energy of a photon, which is given by E = hc/λ, where h is Planck’s constant and c is the speed of light. Using this formula, we can calculate the energy of a single photon emitted by the sodium lamp, given the wavelength of the radiation.

Once we have calculated the energy of a single photon, we can use the formula for the number of photons emitted by a source, which is given by n = Pt/E, where P is the power of the source and t is the time period. Using this formula, we can calculate the total number of photons emitted by the sodium lamp in the given time period.

Therefore, by using these formulas, we can calculate the number of photons emitted by the sodium lamp in 10 hours.