A) \[8\text{ }mC\]
B) \[4\text{ }mC\]
C) \[8\mu C\]
D) \[4\mu C\]
E) \[2mC\]
Correct Answer: E
Solution :
Torque on dipole is \[\tau =pE\sin \theta \] \[\tau =q\times 2lE\sin \theta \] \[\Rightarrow \] \[q=\frac{\tau }{2El\sin \theta }\] Given, \[\tau =4\text{ }Nm,\text{ }E=2\times {{10}^{5}}N{{C}^{-1}},\] \[l=2\times {{10}^{-2}}m,\theta =30{}^\circ .\] \[\therefore \] \[q=\frac{4}{2\times 2\times {{10}^{5}}\times 2\times {{10}^{-2}}\times \sin 30{}^\circ }\] \[\Rightarrow \] \[q=2mC.\]
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