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
The method appears ok but you would do better to show your work and your answer.
To find the wavelength of a photon with a given energy, you can use the equation:
E = hc/λ
Where:
E = Energy of the photon
h = Planck's constant (6.626×10^-34 J·s)
c = Speed of light (3.00×10^8 m/s)
λ = Wavelength of the photon
Now, let's solve for the wavelength λ using the given energy E = 3.99×10^-19 J:
1. First, rearrange the equation to solve for λ:
λ = hc/E
2. Substitute the values of Planck's constant h and the speed of light c:
λ = (6.626×10^-34 J·s)(3.00×10^8 m/s) / (3.99×10^-19 J)
3. Calculate:
λ = 1.326×10^-6 m
Therefore, the wavelength of a photon with an energy of 3.99×10^-19 J is approximately 1.326×10^-6 meters.
To find the wavelength of a photon with a given energy, we can use the equation:
E = hc/λ
Where:
E is the energy of the photon
h is Planck's constant (6.626×10−34 Js)
c is the speed of light (3.00×10^8 m/s)
λ is the wavelength of the photon
To solve for the wavelength (λ), we can rearrange the equation as follows:
λ = hc/E
Now, let's substitute the given values:
h = 6.626×10−34 Js
c = 3.00×10^8 m/s
E = 3.99×10−19 J
Plugging these values into the equation, we get:
λ = (6.626×10−34 Js × 3.00×10^8 m/s) / (3.99×10−19 J)
Now let's calculate it step by step:
Step 1: Multiply h by c:
(6.626×10−34 Js) × (3.00×10^8 m/s) = 1.99×10^-25 Js-m
Step 2: Divide the result from step 1 by the given energy:
(1.99×10^-25 Js-m) / (3.99×10−19 J) ≈ 4.99×10^-7 m
Therefore, the wavelength (λ) of the photon with an energy of 3.99×10−19 J is approximately 4.99×10^-7 meters.