Question

1. If a proton and an electron happen to possess the
same de Broglie wavelength,which among them
will have the highest velocity?
​

Answer 1

Answer:

Since the de broglie wavelength 'λ' is given by the formula as

λ = h/P

where h is the Plank's constant and P is the momentum.

Momentum is given by the formula as

P = m v

where m is the mass and v is the velocity.

Let m₁ , v₁ and m₂ , v₂ be the mass and velocity of protonand electron respectively.

Then,

m₁ v₁ = m₂ v₂

m₁ / m₂ = v₂ / v₁

The ratio of the masses of the two particles is about 1836 to 1. So, electron will be travelling 1836 times more quickly then proton.

Hopefully it is helpful.

Thanks.

Explanation: