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  • If the initial kinetic energy of an alpha particle is doubled, then distance of closest approach will be :  Option: 1 same </

If the initial kinetic energy of an alpha particle is doubled, then distance of closest approach will be :

 

Option: 1

same 


Option: 2

half of the initial 


Option: 3

increased by 4 times 


Option: 4

decreased by 4 times 


Answers (1)

best_answer

As we know,

K= {\frac{1}{4 \pi \epsilon_{0}} \frac{(Z e)(2 e)}{r_{0}}} \\ \\ {\text { Thus, } r_{0} \propto \frac{1}{K}}

r_0 - the distance of closest approach between the nucleus and alpha particle

K- Initial Kinetic energy of an alpha particle

Hence, when the kinetic energy of an alpha particle is doubled, the closest distance r_0 will be halved.

Hence 2 is the correct answer. 

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