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

Energy and momentum of a photon — practice question

(a)[2]

Explain what the term photon means.

(b)

An X-ray photon with energy $3.06 \times 10^{-14}\,\text{J}$ strikes an isolated stationary electron, as shown in Fig. 6.1. The photon is scattered elastically by the electron through angle $\theta$. The scattered photon has a wavelength of $6.80 \times 10^{-12}\,\text{m}$.

(b(i))[1]

On Fig. 6.1, draw an arrow to show one possible initial direction of motion of the electron once the photon has been deflected.

(b(ii)1)[2]

Calculate the energy carried by the deflected photon.

(b(ii)2)[3]

Calculate the speed of the electron after the photon has been deflected.

(c)[2]

Explain why the magnitude of the electron’s final momentum is not equal to the change in magnitude of the photon’s momentum.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Photon described as a packet/quantum/discrete amount of electromagnetic energy.

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