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A spring block system undergoes vertical oscillations above a large horizontal metal sheet with a uniform positive charge. The time period of the oscillation is T . If the block is given a charge Q , its time period of oscillation will be

Options

  1. AT
  2. B> T
  3. C< T
  4. D> T if Q is + v e and < T if Q is - v e .

Correct answer

A. T

Step-by-step solution

Here, the electric force on block due to charged metal sheet is constant, i.e., F Electric = Q E = Q σ 2 ε 0 = constant where, σ → Charge density of metal sheet Now, effective force constant ( K ) does not depend on the constant forces. So, time period of given system will remain same as T = 2 π m K   sec .

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