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KCET2012PhysicsElectrostatics

Two fixed charges A and B of 5 C each are separated by a distance of 6 ~m . C is the mid point of the line joining A and B . A charge Q of -5 C is shot perpendicular to the line joining A and B through C with a kinetic energy of 0.06 ~J . The charge Q comes to rest at a point D. The distance C D is

Options

  1. A4 ~m
  2. B3 ~m
  3. C3 ~m
  4. D3 3 ~m

Correct answer

A. 4 ~m

Step-by-step solution

By conservation of energy Loss of PE = Gain in KE 2 a ² 4 ₀ ( 1 r - 1 r ²+ x ² )= K or aligned 2 9 10⁹ & (5 10⁻⁶ )² ( 1 3 - 1 3²+x² ) &=0.06 aligned or 1 3 - 1 9+x² = 2 15 or x=4 m

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