What is the wavelength of a photon with an energy of 6.35 10-19 J? (The speed of light in a vacuum is 2.998 108 m/s. Planck's constant is 6.626 10-34 J·s.)
E = h*c/(wavelength)
c is the speed of light and h is Plank's #. Solve for the wavelength
To find the wavelength of a photon, you can use the formula:
wavelength = speed of light / frequency
First, we need to find the frequency of the photon using Planck's equation:
E = h * f
where E is the energy of the photon, h is Planck's constant, and f is the frequency.
Since we're given the energy of the photon (6.35 * 10^-19 J) and Planck's constant (6.626 * 10^-34 J·s), we can rearrange the equation to solve for the frequency:
f = E / h
f = (6.35 * 10^-19 J) / (6.626 * 10^-34 J·s)
f ≈ 9.59 * 10^14 Hz
Now, let's calculate the wavelength:
wavelength = speed of light / frequency
wavelength = (2.998 * 10^8 m/s) / (9.59 * 10^14 Hz)
wavelength ≈ 3.124 * 10^-7 m
Therefore, the wavelength of the photon is approximately 3.124 * 10^-7 meters.
To find the wavelength of a photon, we can use the formula:
E = hc/λ
Where:
E = Energy of the photon
h = Planck's constant (6.626 x 10^-34 J·s)
c = Speed of light in a vacuum (2.998 x 10^8 m/s)
λ = Wavelength of the photon
We can rearrange the formula to solve for wavelength:
λ = hc/E
Now, we can substitute the given values into the formula.
h = 6.626 x 10^-34 J·s
c = 2.998 x 10^8 m/s
E = 6.35 x 10^-19 J
λ = (6.626 x 10^-34 J·s * 2.998 x 10^8 m/s) / (6.35 x 10^-19 J)
Calculating this will give us the value for the wavelength.