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Q.

A charged ball of mass 9 kg is suspended from a string in a uniform electric field E=(3i^+5j^)×105N/C. The ball is in equilibrium with θ=37. If direction of electric field is reversed, find the new equilibrium position of the ball. Give your answer in terms of angle made by string with vertical. Take g=10ms2.

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a

tan1314

b

cot1314

c

tan134

d

cot134

answer is D.

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Detailed Solution

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Tsinθ=3q×105                               …(i)

Tcosθ=mg5q×105                     …(ii)

Solve to get q=100μC, T=50N.

After the reversal of direction of electric field

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Tsinα=3q×105  or  Tcosα=mg+5q×105

tanα=3q×105mg+5q×105

=3×104×1059×10+5×104×105=314

or α=tan1314

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