What is the energy in joules and wavelength in meters of microwave radiation with = 2.4 ×1011s-1?
See your post above. E = hc/wavelength
To find the energy in joules and wavelength in meters of microwave radiation, we can use the equations for energy and wavelength.
1. Energy (E) can be calculated using the formula:
E = h * ν
where E is the energy in joules, h is Planck's constant (6.626 x 10^-34 J s), and ν is the frequency in hertz.
2. The speed of light (c) is given by the equation:
c = λ * ν
where c is the speed of light (3.00 x 10^8 m/s), λ is the wavelength in meters, and ν is the frequency in hertz.
To solve for both the energy and wavelength, we need to know the frequency. You have provided the frequency (ν = 2.4 x 10^11 s^-1).
Let's start by finding the energy (E):
E = h * ν
= (6.626 x 10^-34 J s) * (2.4 x 10^11 s^-1)
≈ 1.59 x 10^-21 J
The energy of the microwave radiation is approximately 1.59 x 10^-21 joules.
Now, let's find the wavelength (λ):
c = λ * ν
λ = c / ν
= (3.00 x 10^8 m/s) / (2.4 x 10^11 s^-1)
≈ 1.25 x 10^-3 m
The wavelength of the microwave radiation is approximately 1.25 x 10^-3 meters.
Therefore, the energy is approximately 1.59 x 10^-21 joules and the wavelength is approximately 1.25 x 10^-3 meters.