SATHEE: Electrostatics Question 301

Electrostatics Question 301

Question: Two opposite and equal charges $4 \times 10^{- 8} c o u l o m b$ when placed $2 \times 10^{- 2} c m$ away, form a dipole. If this dipole is placed in an external electric field $4 \times 10^{8} n e w t o n / c o u l o m b$ , the value of maximum torque and the work done in rotating it through $180^{\circ}$ will be [MP PET 1996]

Options:

A) $64 \times 10^{- 4} N m$ and $64 \times 10^{- 4} J$

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

C) $64 \times 10^{- 4} N m$ and $32 \times 10^{- 4} J$

D) $32 \times 10^{- 4} N m$ and $64 \times 10^{- 4} J$

Show Answer

Answer:

Correct Answer: D

Solution:

Dipole moment $p = 4 \times 1 0^{8} \times 2 \times 1 0^{4} = 8 \times 1 0^{12} m$

Maximum torque $= p E = 8 \times 1 0^{12} \times 4 \times 1 0^{8}$

$= 32 \times 1 0^{4} N m$

Work done in rotating through $18 0^{o} = 2 p E$

$= 2 \times 32 \times 1 0^{4} = 64 \times 1 0^{4} J$

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Electrostatics Question 301

Question: Two opposite and equal charges 4×10−8coulomb when placed 2×10−2cm away, form a dipole. If this dipole is placed in an external electric field 4×108newton/coulomb , the value of maximum torque and the work done in rotating it through 180∘ will be [MP PET 1996]

Options:

Answer:

Solution:

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