Microwave radiation is absorbed by the water in food. As the water absorbs the heat it causes the food to get hot. If the λ of a microwave is 10 cm, calculate the frequency of the microwave and the energy of each photon.
speed of light = frequency x wavelength.
E = hc/wavelength.
To calculate the frequency of the microwave, you can use the equation:
c = λν
where c is the speed of light in a vacuum, λ is the wavelength, and ν is the frequency.
Given that the wavelength (λ) of the microwave is 10 cm, we need to convert it to meters:
λ = 10 cm = 0.1 m
The speed of light (c) is approximately 3.00 x 10^8 meters per second.
Now we can calculate the frequency:
c = λν
ν = c / λ
ν = 3.00 x 10^8 m/s / 0.1 m
ν = 3.00 x 10^9 Hz
Therefore, the frequency of the microwave is 3.00 x 10^9 Hz.
To calculate the energy of each photon, you can use the equation:
E = hν
where E is the energy of each photon, h is Planck's constant, and ν is the frequency.
Planck's constant (h) is approximately 6.63 x 10^-34 Joule-seconds.
Now we can calculate the energy:
E = hν
E = (6.63 x 10^-34 J·s) x (3.00 x 10^9 Hz)
E = 1.99 x 10^-24 Joules
Therefore, the energy of each photon is approximately 1.99 x 10^-24 Joules.