Question

A photon recoils back after striking an electron at rest. The change in wavelength of the photon is:

• A. 0.048 Å
• B. 0.024 Å
• C. 0.48 Å
• D. 0.24 Å

Hint:

Maximum Compton shift occurs at \( 180^\circ \).

Answer 1

The Correct Option is B

Using the Compton shift formula:
\[ \Delta \lambda = \frac{h}{m_e c} (1 - \cos \theta) \] For backscattering (\(\theta = 180^\circ\)), we get:
\[ \Delta \lambda = 0.024 \text{ Å}. \]