Question

An electron and a proton are moving along the same direction with the same kinetic energy

Answer 1

An electron and proton are moving in the same direction with the same kinetic energy and hence need to find the ratio of debroglie wavelength

at first we need to show the relation between kinetic energy and momentum

kinetic energy k.e =p^2/(2m)

and for kinetic energy P is directly proportional to the square root of m

(p2/p1)=sqaure root of(m2/m1)

well now the de broglie wavelength is furthur shown as gama=h/p

now after further calculations we get debroglie wavelength as 4283:100

take m2 as 1.67*10^-27 and m1 as 9.1 * 10^-31