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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

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

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

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

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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