There exists a uniform electric field of \(20 \hat{i}~\text{N/C}.\) A dipole of dipole moment \(|\vec{p}|=15~\text {C-m}\) is placed at angle \(30^\circ\) with the electric field. The torque on the dipole is: 
1. \(250~\text{N-m}\)
2. \(150~\text{N-m}\)
3. \(200~\text{N-m}\)
4. \(100~\text{N-m}\)
Subtopic:  Energy of Dipole in an External Field |
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An electric dipole is place at an angle of \(30^{\circ}\) with an electric field intensity \(2\times10^{5}~\text{N/C}\). It experiences a torque equal to \(4~\text{N-m}\). The charge on the dipole, if the dipole length is \(2~\text{cm}\), is: 
1. \(8~\text{mC}\)
2. \(2~\text{mC}\)
3. \(5~\text{mC}\)
4. \(7~\mu\text{C}\)

Subtopic:  Energy of Dipole in an External Field |
 87%
Level 1: 80%+
NEET - 2016
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An electric dipole of moment \(p\) is placed in an electric field of intensity \(E.\) The dipole acquires a position such that the axis of the dipole makes an angle \(\theta\) with the direction of the field. Assuming that the potential energy of the dipole to be zero when \(\theta = 90^{\circ}\), the torque and the potential energy of the dipole will respectively be:
1. \(pE\text{sin}\theta, ~-pE\text{cos}\theta\)
2. \(pE\text{sin}\theta, ~-2pE\text{cos}\theta\)
3. \(pE\text{sin}\theta, ~2pE\text{cos}\theta\)
4. \(pE\text{cos}\theta, ~-pE\text{sin}\theta\)

Subtopic:  Energy of Dipole in an External Field |
 84%
Level 1: 80%+
AIPMT - 2012
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