Question

If the momentum of an electron is changed by P, then the de Broglie wavelength associated with it changes by\( 1\%\). The initial momentum of the electron will be:

• A. 200 P
• B. 100 P
• C. 300 P
• D. 150 P

Answer 1

The Correct Option is B

\(\text{ The de Broglie wavelength is given by } \lambda = \frac{h}{p}, \text{ where } p \text{ is the momentum.} \\ \text{ A 1\% change in wavelength corresponds to a 1\% change in momentum.} \\ \text{ If the change in momentum is } P, \text{ the initial momentum } p_0 \text{ is given by:}\)

\[\frac{P}{p_0} = 0.01 \implies p_0 = 100 P\]