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A charged particle 'q' is shot towards another charged particle 'Q' which is fixed, with a speed 'v'. It approaches 'Q' upto a closest distance r and then returns.

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Question

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

Options

  • r/2

  • 2 r

  • r

  • r/4

MCQ
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Solution

A charged particle 'q' is shot towards another charged particle 'Q' which is fixed, with a speed 'v'. It approaches 'Q' upto a closest distance r and then returns. If q were given a speed of '2v' the closest distances of approach would be r/4.

Explanation:

`1/2 "mv"^2 = "kQq"/"r"`

⇒ `1/2"m"(2"v")^2 = "kqQ"/"r"`

⇒ r' = `"r"/4`

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