Questions  

A charged particle q is shot towards another charged particle Q which is fixed, with a speed  ν. It approaches Q upto a closest distance r and then returns. If q were given a speed  2ν , the closest distances of approach would be

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By Expert Faculty of Sri Chaitanya
ctaimg
a
r
b
2r
c
r/2
d
r/4
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detailed solution

Correct option is D

Charge q will momentarily come to rest at a distance r from charge Q when all it's kinetic energy converted to potential energy i.e.  12mv2=14πε0.qQrTherefore the distance of closest approach is given by  r=qQ4πε0.2mv2⇒r∝1v2


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