267864
An electric dipole is along a uniform electric field. If it is deflected by\(60^{\circ}\), work done by an agent is \(2 \times 10^{-19} \mathrm{~J}\). Then the work doneby an agent if it is deflected by \(30^{\circ}\) further is
1 \(2.5 \times 10^{-19} \mathrm{~J}\)
2 \(2 \times 10^{-19} \mathrm{~J}\)
3 \(4 \times 10^{-19} \mathrm{~J}\)
4 \(2 \times 10^{-16}\) J
Explanation:
\(W_{1}=p E(1-\cos \theta)\) and
\(W_{2}=p E\left(\cos \theta_{1}-\cos \theta_{2}\right)\)
Electric Charges and Fields
267865
The dipole moment of the given system is
1 \(\sqrt{3} q /\) along perpendicular bisector of \(q\) - \(q\) line
2 2ql along perpendicular bisector of \(q\) - qline
3 ql \(\sqrt{2}\) along perpendicular bisector of q-qline
4 0
Explanation:
\(p_{1}=\mid q=p_{2} \text { and } P_{R}=\sqrt{3} q \mid\)
Electric Charges and Fields
267885
An electric dipole of moment\(p\) is placed in the position of stable equilibrium in uniform electric field of intensity \(E\). It is rotated through an angle \(\theta\) from the intial position. The potential energy of electric dipole in the position is
1 \(p E \cos \theta\)
2 \(p E \sin \theta\)
3 \(p E(1-\cos ) \theta\)
4 \(-p E \cos \theta\)
Explanation:
\(U=-\bar{p} \cdot \bar{E} \quad\\)
Electric Charges and Fields
267886
An electric dipole of moment \(\vec{p}\) is placed normal to the lines of force of electric intensity \(\vec{E}\), then the work done in deflecting it through an angle of \(180^{\circ}\) is
1 \(p E\)
2 \(+2 p E\)
3 \(-2 p E\)
4 zero
Explanation:
\(\cdot W_{1}=p E(1-\cos \theta)\)
Electric Charges and Fields
267910
An electric dipole consists of two opposite charges of magnitude \(1 \mu C\) separated by a distance of \(2 \mathrm{~cm}\). The dipole is placed in an electric filed \(10^{-5} \mathrm{Vm}^{-1}\). The maximum torque that the field exert on the dipole is
267864
An electric dipole is along a uniform electric field. If it is deflected by\(60^{\circ}\), work done by an agent is \(2 \times 10^{-19} \mathrm{~J}\). Then the work doneby an agent if it is deflected by \(30^{\circ}\) further is
1 \(2.5 \times 10^{-19} \mathrm{~J}\)
2 \(2 \times 10^{-19} \mathrm{~J}\)
3 \(4 \times 10^{-19} \mathrm{~J}\)
4 \(2 \times 10^{-16}\) J
Explanation:
\(W_{1}=p E(1-\cos \theta)\) and
\(W_{2}=p E\left(\cos \theta_{1}-\cos \theta_{2}\right)\)
Electric Charges and Fields
267865
The dipole moment of the given system is
1 \(\sqrt{3} q /\) along perpendicular bisector of \(q\) - \(q\) line
2 2ql along perpendicular bisector of \(q\) - qline
3 ql \(\sqrt{2}\) along perpendicular bisector of q-qline
4 0
Explanation:
\(p_{1}=\mid q=p_{2} \text { and } P_{R}=\sqrt{3} q \mid\)
Electric Charges and Fields
267885
An electric dipole of moment\(p\) is placed in the position of stable equilibrium in uniform electric field of intensity \(E\). It is rotated through an angle \(\theta\) from the intial position. The potential energy of electric dipole in the position is
1 \(p E \cos \theta\)
2 \(p E \sin \theta\)
3 \(p E(1-\cos ) \theta\)
4 \(-p E \cos \theta\)
Explanation:
\(U=-\bar{p} \cdot \bar{E} \quad\\)
Electric Charges and Fields
267886
An electric dipole of moment \(\vec{p}\) is placed normal to the lines of force of electric intensity \(\vec{E}\), then the work done in deflecting it through an angle of \(180^{\circ}\) is
1 \(p E\)
2 \(+2 p E\)
3 \(-2 p E\)
4 zero
Explanation:
\(\cdot W_{1}=p E(1-\cos \theta)\)
Electric Charges and Fields
267910
An electric dipole consists of two opposite charges of magnitude \(1 \mu C\) separated by a distance of \(2 \mathrm{~cm}\). The dipole is placed in an electric filed \(10^{-5} \mathrm{Vm}^{-1}\). The maximum torque that the field exert on the dipole is
267864
An electric dipole is along a uniform electric field. If it is deflected by\(60^{\circ}\), work done by an agent is \(2 \times 10^{-19} \mathrm{~J}\). Then the work doneby an agent if it is deflected by \(30^{\circ}\) further is
1 \(2.5 \times 10^{-19} \mathrm{~J}\)
2 \(2 \times 10^{-19} \mathrm{~J}\)
3 \(4 \times 10^{-19} \mathrm{~J}\)
4 \(2 \times 10^{-16}\) J
Explanation:
\(W_{1}=p E(1-\cos \theta)\) and
\(W_{2}=p E\left(\cos \theta_{1}-\cos \theta_{2}\right)\)
Electric Charges and Fields
267865
The dipole moment of the given system is
1 \(\sqrt{3} q /\) along perpendicular bisector of \(q\) - \(q\) line
2 2ql along perpendicular bisector of \(q\) - qline
3 ql \(\sqrt{2}\) along perpendicular bisector of q-qline
4 0
Explanation:
\(p_{1}=\mid q=p_{2} \text { and } P_{R}=\sqrt{3} q \mid\)
Electric Charges and Fields
267885
An electric dipole of moment\(p\) is placed in the position of stable equilibrium in uniform electric field of intensity \(E\). It is rotated through an angle \(\theta\) from the intial position. The potential energy of electric dipole in the position is
1 \(p E \cos \theta\)
2 \(p E \sin \theta\)
3 \(p E(1-\cos ) \theta\)
4 \(-p E \cos \theta\)
Explanation:
\(U=-\bar{p} \cdot \bar{E} \quad\\)
Electric Charges and Fields
267886
An electric dipole of moment \(\vec{p}\) is placed normal to the lines of force of electric intensity \(\vec{E}\), then the work done in deflecting it through an angle of \(180^{\circ}\) is
1 \(p E\)
2 \(+2 p E\)
3 \(-2 p E\)
4 zero
Explanation:
\(\cdot W_{1}=p E(1-\cos \theta)\)
Electric Charges and Fields
267910
An electric dipole consists of two opposite charges of magnitude \(1 \mu C\) separated by a distance of \(2 \mathrm{~cm}\). The dipole is placed in an electric filed \(10^{-5} \mathrm{Vm}^{-1}\). The maximum torque that the field exert on the dipole is
267864
An electric dipole is along a uniform electric field. If it is deflected by\(60^{\circ}\), work done by an agent is \(2 \times 10^{-19} \mathrm{~J}\). Then the work doneby an agent if it is deflected by \(30^{\circ}\) further is
1 \(2.5 \times 10^{-19} \mathrm{~J}\)
2 \(2 \times 10^{-19} \mathrm{~J}\)
3 \(4 \times 10^{-19} \mathrm{~J}\)
4 \(2 \times 10^{-16}\) J
Explanation:
\(W_{1}=p E(1-\cos \theta)\) and
\(W_{2}=p E\left(\cos \theta_{1}-\cos \theta_{2}\right)\)
Electric Charges and Fields
267865
The dipole moment of the given system is
1 \(\sqrt{3} q /\) along perpendicular bisector of \(q\) - \(q\) line
2 2ql along perpendicular bisector of \(q\) - qline
3 ql \(\sqrt{2}\) along perpendicular bisector of q-qline
4 0
Explanation:
\(p_{1}=\mid q=p_{2} \text { and } P_{R}=\sqrt{3} q \mid\)
Electric Charges and Fields
267885
An electric dipole of moment\(p\) is placed in the position of stable equilibrium in uniform electric field of intensity \(E\). It is rotated through an angle \(\theta\) from the intial position. The potential energy of electric dipole in the position is
1 \(p E \cos \theta\)
2 \(p E \sin \theta\)
3 \(p E(1-\cos ) \theta\)
4 \(-p E \cos \theta\)
Explanation:
\(U=-\bar{p} \cdot \bar{E} \quad\\)
Electric Charges and Fields
267886
An electric dipole of moment \(\vec{p}\) is placed normal to the lines of force of electric intensity \(\vec{E}\), then the work done in deflecting it through an angle of \(180^{\circ}\) is
1 \(p E\)
2 \(+2 p E\)
3 \(-2 p E\)
4 zero
Explanation:
\(\cdot W_{1}=p E(1-\cos \theta)\)
Electric Charges and Fields
267910
An electric dipole consists of two opposite charges of magnitude \(1 \mu C\) separated by a distance of \(2 \mathrm{~cm}\). The dipole is placed in an electric filed \(10^{-5} \mathrm{Vm}^{-1}\). The maximum torque that the field exert on the dipole is
267864
An electric dipole is along a uniform electric field. If it is deflected by\(60^{\circ}\), work done by an agent is \(2 \times 10^{-19} \mathrm{~J}\). Then the work doneby an agent if it is deflected by \(30^{\circ}\) further is
1 \(2.5 \times 10^{-19} \mathrm{~J}\)
2 \(2 \times 10^{-19} \mathrm{~J}\)
3 \(4 \times 10^{-19} \mathrm{~J}\)
4 \(2 \times 10^{-16}\) J
Explanation:
\(W_{1}=p E(1-\cos \theta)\) and
\(W_{2}=p E\left(\cos \theta_{1}-\cos \theta_{2}\right)\)
Electric Charges and Fields
267865
The dipole moment of the given system is
1 \(\sqrt{3} q /\) along perpendicular bisector of \(q\) - \(q\) line
2 2ql along perpendicular bisector of \(q\) - qline
3 ql \(\sqrt{2}\) along perpendicular bisector of q-qline
4 0
Explanation:
\(p_{1}=\mid q=p_{2} \text { and } P_{R}=\sqrt{3} q \mid\)
Electric Charges and Fields
267885
An electric dipole of moment\(p\) is placed in the position of stable equilibrium in uniform electric field of intensity \(E\). It is rotated through an angle \(\theta\) from the intial position. The potential energy of electric dipole in the position is
1 \(p E \cos \theta\)
2 \(p E \sin \theta\)
3 \(p E(1-\cos ) \theta\)
4 \(-p E \cos \theta\)
Explanation:
\(U=-\bar{p} \cdot \bar{E} \quad\\)
Electric Charges and Fields
267886
An electric dipole of moment \(\vec{p}\) is placed normal to the lines of force of electric intensity \(\vec{E}\), then the work done in deflecting it through an angle of \(180^{\circ}\) is
1 \(p E\)
2 \(+2 p E\)
3 \(-2 p E\)
4 zero
Explanation:
\(\cdot W_{1}=p E(1-\cos \theta)\)
Electric Charges and Fields
267910
An electric dipole consists of two opposite charges of magnitude \(1 \mu C\) separated by a distance of \(2 \mathrm{~cm}\). The dipole is placed in an electric filed \(10^{-5} \mathrm{Vm}^{-1}\). The maximum torque that the field exert on the dipole is