05. DIPOLE
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Electric Charges and Fields

267994 An electric dipole is made up of two particles having charges \(+1 \mu \mathrm{C}\), mass \(1 \mathrm{~kg}\) and other with charge \(-1 \mu \mathrm{C}\) and mass \(1 \mathrm{~kg}\) separated by distance \(1 \mathrm{~m}\). It is in equilibrium in a uniform electric field of \(20 \times 10^{3} \mathrm{~V} / \mathrm{m}\). If the dipole is deflected through angle \(2^{0}\), time taken by it to comeagain in equilibrium is

1 \(2.5 \pi\) s
2 \(2.5 \mathrm{~s}\)
3 \(5 \pi \mathrm{s}\)
4 \(4 \pi\)
Electric Charges and Fields

267995 A point particle of mass\(M\) is attached to one end of a massless rigid non-conducting rod of length L. Another point particle of the same mass is attached to the other end of the rod. The two particle carry charges \(+q\) and - \(q\) respectively. This arrangement is held in a region of a uniform electric field \(E\) such that the rod makes a small angle \(\theta\) (say of about \(5^{\circ}\) ) with the field direction (see figure). The expression for the minimum time needed for the rod to become parallel to the field after it is set free.

1 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{2 q E}}\)
2 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{q E}}\)
3 \(t=\frac{\pi}{2} \sqrt{\frac{2 m L}{q E}}\)
4 \(t=\frac{\pi}{2} \sqrt{\frac{3 \mathrm{~mL}}{2 \mathrm{qE}}}\)
Electric Charges and Fields

272188 Two identical electric dipoles are arranged on $x$-axis as shown in figure. Electric field at the origin will be

1 Zero
2 $\frac{kp\sqrt{2}}{{{r}^{3}}}j$
3 $\frac{-kp\sqrt{2}}{{{r}^{3}}}j$
4 $\frac{-kp}{{{r}^{3}}}i-\frac{kp}{{{r}^{3}}}j$
NCERT Page-28 / N-24
Electric Charges and Fields

272190 71. Which of the following graphs shows the correct variation in magnitude of torque on an electric dipole rotated in a uniform electric field from stable equillibrium to unstable equillibrium?

1
2
3
4
NCERT Page-31 / N-27
Electric Charges and Fields

272189 An electric dipole is placed at an angle of ${{30}^{\circ }}$ to a non-uniform electric field. The dipole will experience

1 a translational force only in the direction of the field
2 a translational force only in the direction normal to the direction of the field
3 a torque as well as a translational force
4 a torque only
NCERT Page-31 / N-27
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Electric Charges and Fields

267994 An electric dipole is made up of two particles having charges \(+1 \mu \mathrm{C}\), mass \(1 \mathrm{~kg}\) and other with charge \(-1 \mu \mathrm{C}\) and mass \(1 \mathrm{~kg}\) separated by distance \(1 \mathrm{~m}\). It is in equilibrium in a uniform electric field of \(20 \times 10^{3} \mathrm{~V} / \mathrm{m}\). If the dipole is deflected through angle \(2^{0}\), time taken by it to comeagain in equilibrium is

1 \(2.5 \pi\) s
2 \(2.5 \mathrm{~s}\)
3 \(5 \pi \mathrm{s}\)
4 \(4 \pi\)
Electric Charges and Fields

267995 A point particle of mass\(M\) is attached to one end of a massless rigid non-conducting rod of length L. Another point particle of the same mass is attached to the other end of the rod. The two particle carry charges \(+q\) and - \(q\) respectively. This arrangement is held in a region of a uniform electric field \(E\) such that the rod makes a small angle \(\theta\) (say of about \(5^{\circ}\) ) with the field direction (see figure). The expression for the minimum time needed for the rod to become parallel to the field after it is set free.

1 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{2 q E}}\)
2 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{q E}}\)
3 \(t=\frac{\pi}{2} \sqrt{\frac{2 m L}{q E}}\)
4 \(t=\frac{\pi}{2} \sqrt{\frac{3 \mathrm{~mL}}{2 \mathrm{qE}}}\)
Electric Charges and Fields

272188 Two identical electric dipoles are arranged on $x$-axis as shown in figure. Electric field at the origin will be

1 Zero
2 $\frac{kp\sqrt{2}}{{{r}^{3}}}j$
3 $\frac{-kp\sqrt{2}}{{{r}^{3}}}j$
4 $\frac{-kp}{{{r}^{3}}}i-\frac{kp}{{{r}^{3}}}j$
NCERT Page-28 / N-24
Electric Charges and Fields

272190 71. Which of the following graphs shows the correct variation in magnitude of torque on an electric dipole rotated in a uniform electric field from stable equillibrium to unstable equillibrium?

1
2
3
4
NCERT Page-31 / N-27
Electric Charges and Fields

272189 An electric dipole is placed at an angle of ${{30}^{\circ }}$ to a non-uniform electric field. The dipole will experience

1 a translational force only in the direction of the field
2 a translational force only in the direction normal to the direction of the field
3 a torque as well as a translational force
4 a torque only
NCERT Page-31 / N-27
For More Updates join with Us
Electric Charges and Fields

267994 An electric dipole is made up of two particles having charges \(+1 \mu \mathrm{C}\), mass \(1 \mathrm{~kg}\) and other with charge \(-1 \mu \mathrm{C}\) and mass \(1 \mathrm{~kg}\) separated by distance \(1 \mathrm{~m}\). It is in equilibrium in a uniform electric field of \(20 \times 10^{3} \mathrm{~V} / \mathrm{m}\). If the dipole is deflected through angle \(2^{0}\), time taken by it to comeagain in equilibrium is

1 \(2.5 \pi\) s
2 \(2.5 \mathrm{~s}\)
3 \(5 \pi \mathrm{s}\)
4 \(4 \pi\)
Electric Charges and Fields

267995 A point particle of mass\(M\) is attached to one end of a massless rigid non-conducting rod of length L. Another point particle of the same mass is attached to the other end of the rod. The two particle carry charges \(+q\) and - \(q\) respectively. This arrangement is held in a region of a uniform electric field \(E\) such that the rod makes a small angle \(\theta\) (say of about \(5^{\circ}\) ) with the field direction (see figure). The expression for the minimum time needed for the rod to become parallel to the field after it is set free.

1 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{2 q E}}\)
2 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{q E}}\)
3 \(t=\frac{\pi}{2} \sqrt{\frac{2 m L}{q E}}\)
4 \(t=\frac{\pi}{2} \sqrt{\frac{3 \mathrm{~mL}}{2 \mathrm{qE}}}\)
Electric Charges and Fields

272188 Two identical electric dipoles are arranged on $x$-axis as shown in figure. Electric field at the origin will be

1 Zero
2 $\frac{kp\sqrt{2}}{{{r}^{3}}}j$
3 $\frac{-kp\sqrt{2}}{{{r}^{3}}}j$
4 $\frac{-kp}{{{r}^{3}}}i-\frac{kp}{{{r}^{3}}}j$
NCERT Page-28 / N-24
Electric Charges and Fields

272190 71. Which of the following graphs shows the correct variation in magnitude of torque on an electric dipole rotated in a uniform electric field from stable equillibrium to unstable equillibrium?

1
2
3
4
NCERT Page-31 / N-27
Electric Charges and Fields

272189 An electric dipole is placed at an angle of ${{30}^{\circ }}$ to a non-uniform electric field. The dipole will experience

1 a translational force only in the direction of the field
2 a translational force only in the direction normal to the direction of the field
3 a torque as well as a translational force
4 a torque only
NCERT Page-31 / N-27
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Electric Charges and Fields

267994 An electric dipole is made up of two particles having charges \(+1 \mu \mathrm{C}\), mass \(1 \mathrm{~kg}\) and other with charge \(-1 \mu \mathrm{C}\) and mass \(1 \mathrm{~kg}\) separated by distance \(1 \mathrm{~m}\). It is in equilibrium in a uniform electric field of \(20 \times 10^{3} \mathrm{~V} / \mathrm{m}\). If the dipole is deflected through angle \(2^{0}\), time taken by it to comeagain in equilibrium is

1 \(2.5 \pi\) s
2 \(2.5 \mathrm{~s}\)
3 \(5 \pi \mathrm{s}\)
4 \(4 \pi\)
Electric Charges and Fields

267995 A point particle of mass\(M\) is attached to one end of a massless rigid non-conducting rod of length L. Another point particle of the same mass is attached to the other end of the rod. The two particle carry charges \(+q\) and - \(q\) respectively. This arrangement is held in a region of a uniform electric field \(E\) such that the rod makes a small angle \(\theta\) (say of about \(5^{\circ}\) ) with the field direction (see figure). The expression for the minimum time needed for the rod to become parallel to the field after it is set free.

1 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{2 q E}}\)
2 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{q E}}\)
3 \(t=\frac{\pi}{2} \sqrt{\frac{2 m L}{q E}}\)
4 \(t=\frac{\pi}{2} \sqrt{\frac{3 \mathrm{~mL}}{2 \mathrm{qE}}}\)
Electric Charges and Fields

272188 Two identical electric dipoles are arranged on $x$-axis as shown in figure. Electric field at the origin will be

1 Zero
2 $\frac{kp\sqrt{2}}{{{r}^{3}}}j$
3 $\frac{-kp\sqrt{2}}{{{r}^{3}}}j$
4 $\frac{-kp}{{{r}^{3}}}i-\frac{kp}{{{r}^{3}}}j$
NCERT Page-28 / N-24
Electric Charges and Fields

272190 71. Which of the following graphs shows the correct variation in magnitude of torque on an electric dipole rotated in a uniform electric field from stable equillibrium to unstable equillibrium?

1
2
3
4
NCERT Page-31 / N-27
Electric Charges and Fields

272189 An electric dipole is placed at an angle of ${{30}^{\circ }}$ to a non-uniform electric field. The dipole will experience

1 a translational force only in the direction of the field
2 a translational force only in the direction normal to the direction of the field
3 a torque as well as a translational force
4 a torque only
NCERT Page-31 / N-27
Join With Us for More Updates
Electric Charges and Fields

267994 An electric dipole is made up of two particles having charges \(+1 \mu \mathrm{C}\), mass \(1 \mathrm{~kg}\) and other with charge \(-1 \mu \mathrm{C}\) and mass \(1 \mathrm{~kg}\) separated by distance \(1 \mathrm{~m}\). It is in equilibrium in a uniform electric field of \(20 \times 10^{3} \mathrm{~V} / \mathrm{m}\). If the dipole is deflected through angle \(2^{0}\), time taken by it to comeagain in equilibrium is

1 \(2.5 \pi\) s
2 \(2.5 \mathrm{~s}\)
3 \(5 \pi \mathrm{s}\)
4 \(4 \pi\)
Electric Charges and Fields

267995 A point particle of mass\(M\) is attached to one end of a massless rigid non-conducting rod of length L. Another point particle of the same mass is attached to the other end of the rod. The two particle carry charges \(+q\) and - \(q\) respectively. This arrangement is held in a region of a uniform electric field \(E\) such that the rod makes a small angle \(\theta\) (say of about \(5^{\circ}\) ) with the field direction (see figure). The expression for the minimum time needed for the rod to become parallel to the field after it is set free.

1 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{2 q E}}\)
2 \(t=\frac{\pi}{2} \sqrt{\frac{m L}{q E}}\)
3 \(t=\frac{\pi}{2} \sqrt{\frac{2 m L}{q E}}\)
4 \(t=\frac{\pi}{2} \sqrt{\frac{3 \mathrm{~mL}}{2 \mathrm{qE}}}\)
Electric Charges and Fields

272188 Two identical electric dipoles are arranged on $x$-axis as shown in figure. Electric field at the origin will be

1 Zero
2 $\frac{kp\sqrt{2}}{{{r}^{3}}}j$
3 $\frac{-kp\sqrt{2}}{{{r}^{3}}}j$
4 $\frac{-kp}{{{r}^{3}}}i-\frac{kp}{{{r}^{3}}}j$
NCERT Page-28 / N-24
Electric Charges and Fields

272190 71. Which of the following graphs shows the correct variation in magnitude of torque on an electric dipole rotated in a uniform electric field from stable equillibrium to unstable equillibrium?

1
2
3
4
NCERT Page-31 / N-27
Electric Charges and Fields

272189 An electric dipole is placed at an angle of ${{30}^{\circ }}$ to a non-uniform electric field. The dipole will experience

1 a translational force only in the direction of the field
2 a translational force only in the direction normal to the direction of the field
3 a torque as well as a translational force
4 a torque only
NCERT Page-31 / N-27