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Q.

Two small spherical balls each carrying a charge Q=10μC (10 micro-coulomb) are suspended by two insulating threads of equal lengths 1m each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle 60o between them, as shown in the figure. What is the tension in the threads (Given: 1(4πε0)=9×109Nm/C2)

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a

18 N

b

1.8 N

c

0.18 N

d

None of the above

answer is B.

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Detailed Solution

In the following figure, in equilibrium Fe=T sin 30o, r=1 m⇒9×109⋅Q2r2=T×12⇒9×109⋅10×10−6212=T×12⇒T=1.8N

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Two small spherical balls each carrying a charge Q=10μC (10 micro-coulomb) are suspended by two insulating threads of equal lengths 1m each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle 60o between them, as shown in the figure. What is the tension in the threads (Given: 1(4πε0)=9×109Nm/C2)