A proton and an -particle have the same de-Broglie wavelength. Determine the ratio of
(i) Their accelerating potentials

(ii) Their speeds.

Question

A proton and an -particle have the same de-Broglie wavelength. Determine the ratio of(i) Their accelerating potentials(ii) Their speeds.

Philoid · Accepted Answer

De-Broglie wavelength of a particle is given by:

Where v = speed

V = accelerating potential

Given that, De-Broglie wavelength is same for -particle and a proton.

Change on -particle =2

Mass of -particle= 4

Change on proton =

Mass of proton =

i. 8:1 is the ratio of accelerating potential.

ii. 4:1 is the ratio of speed.