Physics 9702 · AS & A Level · Energy and momentum of a photon

Energy and momentum of a photon — practice question

(a)[2]

State the meaning of the term photon.

(b(i))[1]

A beam of light falls normally onto a metal surface, as shown in Fig. 8.1. The beam has cross-sectional area $1.3 \times 10^{-5}\,\text{m}^2$ and power $2.7 \times 10^{-3}\,\text{W}$. Its wavelength is $570\,\text{nm}$. The light energy is absorbed by the metal and no light is reflected. Show that one photon of this light has an energy of $3.5 \times 10^{-19}\,\text{J}$.

(b(ii).1)[2]

Calculate the number of photons incident on the surface in $1.0\,\text{s}$.

(b(ii).2)[3]

Calculate the change in momentum of the photons in a time of $1.0\,\text{s}$.

(c)[2]

Use your answer in (b)(ii) to calculate the pressure exerted by the light on the metal surface.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: A photon is a discrete packet/quantum of EM energy

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