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The bob of a simple pendulum has mass 2 g and a charge of 5.0 μ C . It is at rest in a uniform horizontal electric field of intensity 2000 V / m At equilibrium, the angle that the pendulum makes with the vertical is: t a k e   g = 10 m / s 2

Options

  1. At a n - 1 0.2
  2. Bt a n - 1 2.0
  3. Ct a n - 1 0.5
  4. Dt a n - 1 5.0

Correct answer

C. t a n - 1 0.5

Step-by-step solution

tan ⁡ θ = Q E m g = 5 × 10 - 6 × 2000 2 × 10 - 3 × 10 = 1 2 ⇒ θ = tan - 1 ⁡ 0.5

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