What is the wavelength and energy of a photon with the frequency of 3.93x10^11Hz
frequency * wavelength = velocity
3.93E11 * λ = 3.00E10 cm/s
energy = frequency * h ... h is Planck's constant
To determine the wavelength and energy of a photon with a given frequency, we can use the following equations:
1. The wavelength of a photon (λ) is related to its frequency (ν) by the formula:
λ = c / ν
where c is the speed of light (approximately 3.00 x 10^8 m/s).
2. The energy (E) of a photon is related to its frequency by the equation:
E = hν
where h is Planck's constant (approximately 6.63 x 10^-34 J·s).
Let's calculate the wavelength first:
λ = c / ν
= (3.00 x 10^8 m/s) / (3.93 x 10^11 Hz)
≈ 7.63 x 10^-4 meters
The wavelength of the photon is approximately 7.63 x 10^-4 meters.
Now, let's calculate the energy:
E = hν
= (6.63 x 10^-34 J·s) × (3.93 x 10^11 Hz)
≈ 2.60 x 10^-22 Joules
The energy of the photon is approximately 2.60 x 10^-22 Joules.
To find the wavelength and energy of a photon, we can use the formulas:
1. Wavelength (λ) = speed of light (c) / frequency (ν)
2. Energy (E) = Planck's constant (h) × frequency (ν)
First, let's start with finding the wavelength (λ) using the formula mentioned above.
The speed of light (c) is a constant value and is approximately 3.00 × 10^8 meters per second.
λ = c / ν
= (3.00 × 10^8 m/s) / (3.93 × 10^11 Hz)
≈ 7.63 × 10^(-4) meters or 763 nm (nanometers)
The wavelength of the photon is approximately 7.63 × 10^(-4) meters or 763 nm.
Now, let's calculate the energy (E) of the photon using the formula mentioned above.
Planck's constant (h) is a fundamental constant and has a value of approximately 6.63 × 10^(-34) Joule-seconds.
E = h × ν
= (6.63 × 10^(-34) J·s) × (3.93 × 10^11 Hz)
≈ 2.60 × 10^(-22) Joules
The energy of the photon is approximately 2.60 × 10^(-22) Joules.