Two opposite and equal charges 4×10−8 coulomb when placed 2×10−2 cm away, form a dipole. If this dipole is placed in an external electric field 4×108 newton/coulomb, the value of maximum torque and the work done in rotating it through 180° will be

Dipole moment p=4×10−8×2×10−4=8×10−12mMaximum torque = pE=8×10−12×4×108=32×10−4NmWork done in rotating through 180∘=2pE=2×32×10−4=64×10−4J

Two opposite and equal charges 4×10−8 coulomb when placed 2×10−2 cm away, form a dipole. If this dipole is placed in an external electric field 4×108 newton/coulomb, the value of maximum torque and the work done in rotating it through 180° will be

Dipole moment p=4×10−8×2×10−4=8×10−12mMaximum torque = pE=8×10−12×4×108=32×10−4NmWork done in rotating through 180∘=2pE=2×32×10−4=64×10−4J

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Two opposite and equal charges $4 \times 10^{- 8} coulomb$ when placed $2 \times 10^{- 2} cm$ away, form a dipole. If this dipole is placed in an external electric field $4 \times 10^{8} newton / coulomb$ , the value of maximum torque and the work done in rotating it through $180 °$ will be

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$64 \times 10^{- 4} Nm and 64 \times 10^{- 4} J$

$32 \times 10^{- 4} Nm and 32 \times 10^{- 4} J$

$64 \times 10^{- 4} Nm and 32 \times 10^{- 4} J$

$32 \times 10^{- 4} Nm and 64 \times 10^{- 4} J$

answer is D.

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Detailed Solution

Dipole moment $p = 4 \times 10^{- 8} \times 2 \times 10^{- 4} = 8 \times 10^{- 12} m$

Maximum torque = $pE = 8 \times 10^{- 12} \times 4 \times 10^{8}$

$= 32 \times 10^{- 4} Nm$

Work done in rotating through $180^{\circ} = 2 pE$

$= 2 \times 32 \times 10^{- 4} = 64 \times 10^{- 4} J$

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Two opposite and equal charges 4×10−8 coulomb when placed 2×10−2 cm away, form a dipole. If this dipole is placed in an external electric field 4×108 newton/coulomb, the value of maximum torque and the work done in rotating it through 180° will be

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Two opposite and equal charges $4 \times 10^{- 8} coulomb$ when placed $2 \times 10^{- 2} cm$ away, form a dipole. If this dipole is placed in an external electric field $4 \times 10^{8} newton / coulomb$ , the value of maximum torque and the work done in rotating it through $180 °$ will be