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A beam of light travelling along X -axis is described by the electric field E y = 900 sin ω t - x c . The ratio of electric force to magnetic force on a charge q moving along Y -axis with a speed of 3 × 10 7 m s - 1 will be : [Given speed of light = 3 × 10 8 m s - 1 ]

Options

  1. A1 : 1
  2. B1 : 10
  3. C10 : 1
  4. D1 : 2

Correct answer

C. 10 : 1

Step-by-step solution

Given, E y = 900 sin ω t - ω x c Here, E 0 = 900 Electric field and electric force are related as F E = q E 0 Magnetic force of a moving charge is given by F B = q v B 0 Thus, the ratio F E F B = E 0 v B 0 Using relation between magnetic and electric field, we have F E F B = c v = 3 × 10 8 3 × 10 7 = 10 : 1

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