IIT JEE questions past Atomic structure 4

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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.

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Optimus Prime ·2009-03-25 07:02:38

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 =2ze²/4âˆ©kr (k = epsilon)

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

mv²/2 = 2ze²/4âˆ©kr

v²=4ze²/4âˆ©kmr

solvinf we get
v=6.32x10⁶

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ANKIT MAHATO ·2009-03-25 07:02:56

energy conservation
1/2 m_ev² = kZe²/r_o
v = âˆš(2 kZe²/m_er_o)

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

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IIT JEE questions past Atomic structure 4

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