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Question: If the momentum of an electron is changed by p, then the de Broglie wavelength associated with it ch...

If the momentum of an electron is changed by p, then the de Broglie wavelength associated with it changes by 0.5% . The initial momentum of electron will be:

A

200 P

B

400P

C

p200\frac{p}{200}

D

100P

Answer

200 P

Explanation

Solution

: de Broglie wavelength associated with an electron is

λ=hporp=hλ\lambda = \frac{h}{p}orp = \frac{h}{\lambda}

∴.Δpp=−Δλλ⇒ppinital=0.5100\therefore.\frac{\Delta p}{p} = - \frac{\Delta\lambda}{\lambda} \Rightarrow \frac{p}{p_{inital}} = \frac{0.5}{100}