Question

If a proton and electron have the same de Broglie wavelength , then

• A. Kinetic energy of electron< kinetic energy of proton
• B. Kinetic energy of electron = kinetic energy of proton
• C. Momentum of electron =momentum of proton
• D. Momentum of electron < momentum of proton

Answer 1

Answer: (C)

Momentum of electron =momentum of proton

Answer 2

: de Broglie wavelength $\lambda = \frac{h}{p}$

Where p is the momentum of the particle

For electron $\lambda = \frac{h}{p_{e}}$

For proton $\lambda_{p} = \frac{h}{p_{p}}$

As $\lambda_{e} = \lambda_{p}(Given)$$$\Rightarrow p_{e} = p_{p}$$

Or momentum of electron = Momentum of proton