Final answer:
The number of photons emitted by a 60-watt bulb in one minute can be calculated by finding the energy emitted by the bulb and dividing it by the energy per photon. The energy emitted in one minute is 3600 joules, and the energy per photon can be calculated using the wavelength of the photon. Substituting these values into the equation, we find that the number of photons emitted is approximately 1.13 x 10^21 photons.
Step-by-step explanation:
The number of photons emitted by a 60-watt bulb in one minute can be calculated by first finding the energy emitted by the bulb in one minute.
The power of the bulb is given as 60 watts, so the energy emitted in one second can be calculated by multiplying the power by the time:
60 watts * 1 second
= 60 joules.
Since there are 60 seconds in a minute, the energy emitted in one minute would be 60 joules * 60 seconds
= 3600 joules.
To find the number of photons, we need to determine the energy per photon.
The energy per photon is given by the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the photon.
In this case, the wavelength is given as 620 nm, which is equivalent to 620 x 10^-9 m.
Substituting these values into the equation,
we have E = (6.626 x 10^-34 J*s)(3.00 x 10^8 m/s) / (620 x 10^-9 m)
= 3.189 x 10^-19 J.
Now we can calculate the number of photons using the energy emitted by the bulb in one minute and the energy per photon:
Number of photons = (Energy emitted in one minute) / (Energy per photon)
= 3600 joules / (3.189 x 10^-19 J)
≈ 1.13 x 10^21 photons.