Lets understand how to calculate the mass of photon with wavelength 3.6 angstrom
How much energy does a photon contain?
A photon is a subatomic particle with no mass or charge. If we assume that a photon has zero rest mass (which is true), then its total energy would be equal to its momentum multiplied by c squared.
We can calculate the mass of a photon using the equation E mc2. In this case, the energy of the photon is equal to its momentum times the speed of light squared.
For our question we will use de-brogile’s equation
Solution:
- Let lamda = 3.6 angstrom = 3.6 x 10^-10 m.
- Implied velocity of photon = velocity of light.
- m = h/lamda*v ( Using de-brogile’s equation)
- m = 6.626 x 10^-34/3.6 x10^-10 x 3 x 10^8
- m = 6.626 x 10^-32/10.8
- m = 0.6135 x 10^-32
- m = 6.135 x 10^-33 kg.
6.135 x 10^-33 kg
is the answer
So in short for the question
How to calculate the mass of photon with wavelength 3.6 angstrom?
Using Formulas
λ = h / MV and M = h / λV
—————————–
Where
M = mass of proton
h = planck’s constant
λ = Wave length
V = Velocity
——————————–
λ = 3.6 A⁰ = 3.6 × 10⁻¹⁰ m
h = 6.626 × 10 ⁻³⁴
V = 3 × 10⁸ m/s
———————————
∴ M = ( 6.626 × 10 ⁻³⁴ ) / [ ( 3.6 × 10⁻¹⁰ ) × ( 3 × 10⁸)]
= 6. 135 × 10⁻³³ kg
How much does a single photon weigh?
Photons are tiny particles that represent light waves. They carry energy, or matter, along with them through space. The mass of a photon is zero.
The mass of a photon depends on its frequency. For example, a red photon has a higher frequency than a blue one. This means that a red photon weighs less than a blue one. When photons interact with atoms, they can change their frequencies. These changes affect the mass of the photon.
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