Two opposite and equal charges 4 x l0-8 coulomb when placed 2 x 10-2 cm away, form a dipole. If this dipole is placed in an external electric field 4 x 108 newton/ coulomb, the value of maximum torque and the work done in rotating it through 180 ° will be
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a
64 x 10-4 Nm and 64 x 10-4 J
b
32 x 10-4 Nm and 32 x 10-4 J
c
64 x 10-4 Nm and 32 x 10-4 J
d
32 x 10-4 Nm and 64 x 10-4 J
answer is D.
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Detailed Solution
Dipole moment p = 4×10-8×2×10-4=8×10-12 mMaximum torque = pE=8×10-12×4×108 =32×10-4NmWork done in rotating through 180 ° = 2pE =2×32×10-4=64×10-4 J
Two opposite and equal charges 4 x l0-8 coulomb when placed 2 x 10-2 cm away, form a dipole. If this dipole is placed in an external electric field 4 x 108 newton/ coulomb, the value of maximum torque and the work done in rotating it through 180 ° will be