Two equal and opposite charges of 4 - 10-8 C when placed 2 - 10-2 cm away- form a dipole- If this dipole is placed in an external electric field of 4 - 108 newton-coulomb- the value of maximum torque and the work done in rotating it through 180- will beA- 64 - 10-4 Nm and 64 - 10-4 JB- 32 - 10-4 Nm and 32 - 10-4 JC- 32 - 10-4 Nm and 64 - 10-4 JD- 64 - 10-4 N m and 32 - 10-4 J

Dipole moment p = 4 × 10^–8× 2 × 10^–4 = 8 × 10^–12 Cm Maximum torque = pE = 8 × 10^–12× 4 × 10^8 = 32 × 10^–4 Nm Maximum work done in rotating through 180^∘ = ...

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Standard XII

Physics

Torque on a Dipole

Two equal and...

Question

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

64 \times 10^{- 4} N m a n d 64 \times 10^{- 4} J

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32 \times 10^{- 4} N m a n d 32 \times 10^{- 4} J

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64 \times 10^{- 4} N m a n d 32 \times 10^{- 4} J

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32 \times 10^{- 4} N m a n d 64 \times 10^{- 4} J

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Solution

The correct option is:C: $32 \times 10^{- 4} N m a n d 64 \times 10^{- 4} J$
Dipole moment, $= q \times 2 a = 4 \times 10^{- 8} C$ X $2 \times 10^{- 2} c m = 8 \times 10^{- 12} C m$
Maximum torque, $= 8 \times 10^{- 12} \times 4 \times 10^{8} = 32 \times 10^{- 4} N m$
Maximum work done in rotating through, $180^{o}$ , $= 2 p E = 2 \times$ $= 32 \times 10^{- 4} = 64 \times 10^{- 4} N m$

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

The correct option is:C: 32×10−4Nmand64×10−4J Dipole moment, =q×2a=4×10−8C X 2×10−2cm=8×10−12Cm Maximum torque, =8×10−12×4×108=32×10−4Nm Maximum work done in rotating through, 180o ,=2pE=2×=32×10−4=64×10−4Nm

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