Physics-
General
Easy

Question

Time period of a block suspended from the upper plate of a parallel plate capacitor by a spring of stiffness k is T. When block is uncharged. If a charge q is given to the block them, the new time period of oscillation will be

  1. T    
  2. greater than T    
  3. less than T    
  4. greater or equal than T    

The correct answer is: T


    The forces that act on the block are qE and mg. Since qE and mg are constant forces, the only variable elastic force changes by kx. Where x is the elongation in the spring rightwards double arrow unbalanced (restoring) force equals F equals negative k x
    rightwards double arrow negative m omega to the power of 2 end exponent X equals negative K X rightwards double arrow omega equals square root of fraction numerator k over denominator M end fraction end root equals T.

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