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Chapter 38: Q12Q (page 1181)

An electron and a proton have the same kinetic energy. Which has the greater de Broglie wavelength?

Short Answer

Expert verified

The electron has greater de Broglie wavelength than proton.

Step by step solution

01

Describe the de Broglie wavelength

The de Broglie wavelength is given by,

位=hmv

Here, h is the plank鈥檚 constant, m is the mass and v is the velocity.

02

Find the particle which has greater de Broglie wavelength

From the de Broglie wavelength, it can be observed that the mass of the particle is inversely proportional to the wavelength.

It is known that the mass of the proton is mp=1.67脳10-27kg and the mass of the electron is me=9.11脳10-31kg. Clearly, the mass of the proton is more than the mass of the electron. So, the de Broglie wavelength of electron will be more than the de Broglie wavelength of proton.

Therefore, the electron has greater de Broglie wavelength than proton.

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