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The two ends of a rubber string of negli...

The two ends of a rubber string of negligible mass and having unstretched length 24cm are fixed at the same height as shown. A small object is attached to the string in its midpoint due to which the depression h of the object in equilibrium is 5cm. Then the small object is charged and a vertical electric field `E_(1)` is switched on in the region. The ·equilibrium depression of the object increases to 9cm, now the electric field is changed to `E_(2)` and the depression of object in equilibrium increases to 16cm. What is the ratio of electric field in the second case to that of in the first case ?

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