Question

A photon of 498nm was emitted from a silicon atom. calculate the energy of all the atomic levels of silicon. show that energy is quantized​

Answer 1

Given info : A photon of 498 nm was emitted from a silicon atom.

we have to calculate the energy of all the atomic levels of silicon and have to show that energy is quantized.

solution : wavelength of emitted photon from a silicon atom, λ = 498 nm = 4.98 × 10⁻⁷ m

we know, E = hc/λ

where h is plank's constant, c is the speed of light in vacuum and λ is wavelength of photon.

so, E = (6.63 × 10⁻³⁴ Js × 3 × 10⁸ m/s)/(4.98 × 10⁻⁷ m)

       = 3.994 × 10⁻¹⁹ J

therefore the energy of all atomic levels of silicon is  3.994 × 10⁻¹⁹ J.

according to quantum theory, photons are emitted from the metallic surface in a package. means, photons can't be emitted in fraction form. that's why the formula of energy of each photon is E = hν or hc/λ .

we have found the energy using the quantum energy equation. so energy found must be quantized.

so it is clear that 3.994 × 10⁻¹⁹ J energy is quantized because it is the energy of one photon emitted from the surface of silicon atom.

Answer 2

Answer:

Explanation:

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