IIT JEE questions past Atomic structure 4

With what velocity should alpha particle travel towards the nucleus of a copper atom so as to arrive at a distance of 10-13 metre from the nucleus of the copper atom.

2 Answers

1
Optimus Prime ·

when the \alpha particle is placed at a distance of 10-13m to the Cu atom, there will be repulsion between the two nuclei

potential energy due to repulsion =2ze2/4∩kr (k = epsilon)

this shud be equal to K.e of \alpha particle approaching the nucleus =1/2mv2

mv2/2 = 2ze2/4∩kr

v2=4ze2/4∩kmr

solvinf we get
v=6.32x106

1
ANKIT MAHATO ·

energy conservation
1/2 mev2 = kZe2/ro
v = √(2 kZe2/mero)

k = 9 * 10^9
Z = 29 for Cu
me = mass of electron
so v = ... aar calc.. chahiye

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