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 2v, the closest distances of approach would be

r

2r

r/2

r/4

Solution

r/4

By principle of conservation of energy
$1 half mv squared space equals space kqQ over straight r space..... space left parenthesis straight i right parenthesis Finally comma space 1 half space straight m left parenthesis 2 straight v right parenthesis squared space equals space fraction numerator begin display style KqQ end style over denominator straight r squared end fraction space... left parenthesis ii right parenthesis Equation space left parenthesis straight i right parenthesis divided by left parenthesis ii right parenthesis 1 fourth space equals space fraction numerator straight r apostrophe over denominator straight r end fraction rightwards double arrow space straight r apostrophe space equals space fraction numerator begin display style straight r end style over denominator 4 end fraction$

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Electric Charges And Fields

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 2v, the closest distances of approach would be

r

2r

r/2

r/4

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

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 2v, the closest distances of approach would be r 2r r/2 r/4

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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 2v, the closest distances of approach would be

r

2r

r/2

r/4

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?