The equation for photon energy, , is
where = 6.626×10−34 (Planck's constant) and = 3.00×108 (the speed of light).
What is the wavelength, , of a photon that has an energy of = 3.99×10−19 ?
How do go about solving this? I multipled the constant w/ the speed of light and divided it by the proton energy but its not correct
You omitted the important stuff in your definition workup.
w = wavelength
c = speed of light = 3E8 m/s
h = Planck's constant = 6.626E-34 J.s
E = energy in J.
E = hc/w
3.99E-19 = 6.626E-34*3E8/w
w = 6.626E-34*3E8/3.99E-19 = ?
If you still have a problem, put your exact work in a post and let us take a look at it. One problem students often make is using too many significant figures in the answer. Check that too.
A photon has a wavelength of 6.2 meters. Calculate the energy of the photon in joules. (Planck's constant is 6.626 × 10-34 joule seconds, the speed of light is
2.998 × 108 m/s)? I'm confused in how to find the answeer.
To find the wavelength (λ) of a photon with energy (E), you can use the equation:
E = hc / λ,
where h is the Planck's constant (6.626×10^(-34) J⋅s) and c is the speed of light (3.00×10^8 m/s).
In your case, you are given the energy of the photon (E = 3.99×10^(-19) J), and you need to find the corresponding wavelength (λ). Rearrange the equation to solve for λ:
λ = hc / E.
Now, substitute the given values into the equation:
λ = (6.626×10^(-34) J⋅s) × (3.00×10^8 m/s) / (3.99×10^(-19) J).
Perform the calculations:
λ = (6.626×10^(-34) × 3.00×10^8) / 3.99×10^(-19) m.
Multiply the numerator:
λ = 19.878×10^(-26) m / 3.99×10^(-19) J.
Divide by the denominator:
λ ≈ 4.98×10^(-7) m.
Therefore, the wavelength of the photon with an energy of 3.99×10^(-19) J is approximately 4.98×10^(-7) meters (or 498 nanometers).
To find the wavelength (λ) of a photon with a given energy (E), you can use the equation E = hc/λ, where h is Planck's constant (6.626×10^(-34) J·s), c is the speed of light (3.00×10^8 m/s), and λ is the wavelength.
In this case, you have the value for the photon's energy (E = 3.99×10^(-19) J). To find the wavelength, you need to rearrange the equation to solve for λ.
Step 1: Substitute the known values into the equation: E = hc/λ
3.99×10^(-19) = (6.626×10^(-34) J·s) × (3.00×10^8 m/s) / λ
Step 2: Rearrange the equation to solve for λ: λ = hc/E
Step 3: Plug in the values and calculate:
λ = [(6.626×10^(-34) J·s) × (3.00×10^8 m/s)] / (3.99×10^(-19) J)
By performing this calculation, you'll get the value of the wavelength, λ, in meters.