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Question

Two small spheres with masses M1 and M2 hang on weightless, insulating threads with lengths L1 and L2. The two spheres carry a charge of Q1 and Q2 respectively. The spheres hang such that they are level with one another and the threads are inclined to the vertical at angles θ1 and θ2. Which of the following conditions is required if θ1=θ2.
693051_9d2a933f79414057a7c3f10b0d9ff465.jpg

A
M1=M2
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B
|Q1|=|Q2|
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C
L1=L2
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D
None of these
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Solution

The correct option is A M1=M2
θ1=θ2, if their masses are the same because the force of repulsion due to charges is the same. The force Mg sinθ opposes the force of repulsion. Even if Q1 and Q2 are different, the force of repulsion is the same for both as they are mutual.
722097_693051_ans_c3282dcdf10d4192a0b35992fcf7286a.jpg

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