AP EAMCET · PHYSICS · Electrostatics
An electric dipole with dipole moment \(2 \times 10^{-10} \mathrm{C} \mathrm{m}\) is aligned at an angle \(30^{\circ}\) with the direction of uniform electric field of \(10^4 \mathrm{~N} \mathrm{C}^{-1}\). The magnitude of the torque acting on the dipole is
- A \(10^{-6} \mathrm{~N} \mathrm{~m}\)
- B \(10^{-5} \mathrm{~N} \mathrm{~m}\)
- C \(10^{-4} \mathrm{~N} \mathrm{~m}\)
- D \(10^{-3} \mathrm{~N} \mathrm{~m}\)
Answer & Solution
Correct Answer
(A) \(10^{-6} \mathrm{~N} \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
\(\tau = pE \sin\theta\) \(\tau = (2 \times 10^{-10} \mathrm{C} \mathrm{m})(10^4 \mathrm{~N} \mathrm{C}^{-1}) \sin(30^{\circ})\) \(\tau = (2 \times 10^{-6} \mathrm{~N} \mathrm{~m}) (0.5)\) \(\tau = 10^{-6} \mathrm{~N} \mathrm{~m}\)
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