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 then, 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 q E and m g. Since q E and m g are constant forces, the only variable elastic force changes by k x. 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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