03. ELECTRIC FIELD
Electric Charges and Fields

267943 A bob of a simple pendulum of mass \(40 \mathrm{gm}\) with a positive charge \(4 \times 10^{-6} \mathbf{C}\) is oscillating with a time period \(T_{1}\).An electric field of intensity \(3.6 \times 10^{4} \mathrm{~N} / \mathrm{C}\) is applied vertically upwards.Now the time period is \(T_{2}\) the value of \(\frac{T_{2}}{T_{1}}\) is \((\mathbf{g}=\) \(10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0.16
2 0.64
3 1.25
4 0.8
Electric Charges and Fields

267944 A particle of mass\(m\) and charge \(q\) is placed at rest in a uniform electric field \(E\) and then released. The kinetic energy attained by the particle after moving a distance y is

1 \(q E y^{2}\)
2 \(q E^{2} y\)
3 qEy
4 \(q^{2} E y\)
Electric Charges and Fields

267945 Four equipotential curves in an electric fieldare shown in the figure. \(A, B, C\) are three points in the field.If electric intensity at \(A, B, C\) are \(E_{A}, E_{B}, E_{C}\) then

1 \(E_{A}=E_{B}=E_{C}\)
2 \(E_{A}\lt E_{B}\lt E_{C}\)
3 \(E_{A}
4 \(E_{A}\lt E_{B}
Electric Charges and Fields

267946 A particle of mass\(1 \mathrm{Kg}\) and carrying \(0.01 \mathrm{C}\) is at rest on an inclined plane of angle \(30^{\circ}\) with horizontal when an electric field of \(\frac{490}{\sqrt{3}} N C^{-1}\) applied parllel to horizontal .Thecoefficient of friction is

1 0.5
2 \(\frac{1}{\sqrt{3}}\)
3 \(\frac{\sqrt{3}}{2}\)
4 \(\frac{\sqrt{3}}{7}\)
Electric Charges and Fields

267947 Electric field on the axis of a small electricdipoleat a distancer is \(\vec{E}_{1}\) and \(\vec{E}_{2}\) at a distance of \(2 r\) on a line of perpendicular bisector. Then

1 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 8\)
2 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 16\)
3 \(\vec{E}_{2}=-\overrightarrow{E_{1}} / 4\)
4 \(\overrightarrow{E_{2}}=\overrightarrow{E_{1}} / 8\)
Electric Charges and Fields

267943 A bob of a simple pendulum of mass \(40 \mathrm{gm}\) with a positive charge \(4 \times 10^{-6} \mathbf{C}\) is oscillating with a time period \(T_{1}\).An electric field of intensity \(3.6 \times 10^{4} \mathrm{~N} / \mathrm{C}\) is applied vertically upwards.Now the time period is \(T_{2}\) the value of \(\frac{T_{2}}{T_{1}}\) is \((\mathbf{g}=\) \(10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0.16
2 0.64
3 1.25
4 0.8
Electric Charges and Fields

267944 A particle of mass\(m\) and charge \(q\) is placed at rest in a uniform electric field \(E\) and then released. The kinetic energy attained by the particle after moving a distance y is

1 \(q E y^{2}\)
2 \(q E^{2} y\)
3 qEy
4 \(q^{2} E y\)
Electric Charges and Fields

267945 Four equipotential curves in an electric fieldare shown in the figure. \(A, B, C\) are three points in the field.If electric intensity at \(A, B, C\) are \(E_{A}, E_{B}, E_{C}\) then

1 \(E_{A}=E_{B}=E_{C}\)
2 \(E_{A}\lt E_{B}\lt E_{C}\)
3 \(E_{A}
4 \(E_{A}\lt E_{B}
Electric Charges and Fields

267946 A particle of mass\(1 \mathrm{Kg}\) and carrying \(0.01 \mathrm{C}\) is at rest on an inclined plane of angle \(30^{\circ}\) with horizontal when an electric field of \(\frac{490}{\sqrt{3}} N C^{-1}\) applied parllel to horizontal .Thecoefficient of friction is

1 0.5
2 \(\frac{1}{\sqrt{3}}\)
3 \(\frac{\sqrt{3}}{2}\)
4 \(\frac{\sqrt{3}}{7}\)
Electric Charges and Fields

267947 Electric field on the axis of a small electricdipoleat a distancer is \(\vec{E}_{1}\) and \(\vec{E}_{2}\) at a distance of \(2 r\) on a line of perpendicular bisector. Then

1 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 8\)
2 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 16\)
3 \(\vec{E}_{2}=-\overrightarrow{E_{1}} / 4\)
4 \(\overrightarrow{E_{2}}=\overrightarrow{E_{1}} / 8\)
Electric Charges and Fields

267943 A bob of a simple pendulum of mass \(40 \mathrm{gm}\) with a positive charge \(4 \times 10^{-6} \mathbf{C}\) is oscillating with a time period \(T_{1}\).An electric field of intensity \(3.6 \times 10^{4} \mathrm{~N} / \mathrm{C}\) is applied vertically upwards.Now the time period is \(T_{2}\) the value of \(\frac{T_{2}}{T_{1}}\) is \((\mathbf{g}=\) \(10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0.16
2 0.64
3 1.25
4 0.8
Electric Charges and Fields

267944 A particle of mass\(m\) and charge \(q\) is placed at rest in a uniform electric field \(E\) and then released. The kinetic energy attained by the particle after moving a distance y is

1 \(q E y^{2}\)
2 \(q E^{2} y\)
3 qEy
4 \(q^{2} E y\)
Electric Charges and Fields

267945 Four equipotential curves in an electric fieldare shown in the figure. \(A, B, C\) are three points in the field.If electric intensity at \(A, B, C\) are \(E_{A}, E_{B}, E_{C}\) then

1 \(E_{A}=E_{B}=E_{C}\)
2 \(E_{A}\lt E_{B}\lt E_{C}\)
3 \(E_{A}
4 \(E_{A}\lt E_{B}
Electric Charges and Fields

267946 A particle of mass\(1 \mathrm{Kg}\) and carrying \(0.01 \mathrm{C}\) is at rest on an inclined plane of angle \(30^{\circ}\) with horizontal when an electric field of \(\frac{490}{\sqrt{3}} N C^{-1}\) applied parllel to horizontal .Thecoefficient of friction is

1 0.5
2 \(\frac{1}{\sqrt{3}}\)
3 \(\frac{\sqrt{3}}{2}\)
4 \(\frac{\sqrt{3}}{7}\)
Electric Charges and Fields

267947 Electric field on the axis of a small electricdipoleat a distancer is \(\vec{E}_{1}\) and \(\vec{E}_{2}\) at a distance of \(2 r\) on a line of perpendicular bisector. Then

1 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 8\)
2 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 16\)
3 \(\vec{E}_{2}=-\overrightarrow{E_{1}} / 4\)
4 \(\overrightarrow{E_{2}}=\overrightarrow{E_{1}} / 8\)
Electric Charges and Fields

267943 A bob of a simple pendulum of mass \(40 \mathrm{gm}\) with a positive charge \(4 \times 10^{-6} \mathbf{C}\) is oscillating with a time period \(T_{1}\).An electric field of intensity \(3.6 \times 10^{4} \mathrm{~N} / \mathrm{C}\) is applied vertically upwards.Now the time period is \(T_{2}\) the value of \(\frac{T_{2}}{T_{1}}\) is \((\mathbf{g}=\) \(10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0.16
2 0.64
3 1.25
4 0.8
Electric Charges and Fields

267944 A particle of mass\(m\) and charge \(q\) is placed at rest in a uniform electric field \(E\) and then released. The kinetic energy attained by the particle after moving a distance y is

1 \(q E y^{2}\)
2 \(q E^{2} y\)
3 qEy
4 \(q^{2} E y\)
Electric Charges and Fields

267945 Four equipotential curves in an electric fieldare shown in the figure. \(A, B, C\) are three points in the field.If electric intensity at \(A, B, C\) are \(E_{A}, E_{B}, E_{C}\) then

1 \(E_{A}=E_{B}=E_{C}\)
2 \(E_{A}\lt E_{B}\lt E_{C}\)
3 \(E_{A}
4 \(E_{A}\lt E_{B}
Electric Charges and Fields

267946 A particle of mass\(1 \mathrm{Kg}\) and carrying \(0.01 \mathrm{C}\) is at rest on an inclined plane of angle \(30^{\circ}\) with horizontal when an electric field of \(\frac{490}{\sqrt{3}} N C^{-1}\) applied parllel to horizontal .Thecoefficient of friction is

1 0.5
2 \(\frac{1}{\sqrt{3}}\)
3 \(\frac{\sqrt{3}}{2}\)
4 \(\frac{\sqrt{3}}{7}\)
Electric Charges and Fields

267947 Electric field on the axis of a small electricdipoleat a distancer is \(\vec{E}_{1}\) and \(\vec{E}_{2}\) at a distance of \(2 r\) on a line of perpendicular bisector. Then

1 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 8\)
2 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 16\)
3 \(\vec{E}_{2}=-\overrightarrow{E_{1}} / 4\)
4 \(\overrightarrow{E_{2}}=\overrightarrow{E_{1}} / 8\)
Electric Charges and Fields

267943 A bob of a simple pendulum of mass \(40 \mathrm{gm}\) with a positive charge \(4 \times 10^{-6} \mathbf{C}\) is oscillating with a time period \(T_{1}\).An electric field of intensity \(3.6 \times 10^{4} \mathrm{~N} / \mathrm{C}\) is applied vertically upwards.Now the time period is \(T_{2}\) the value of \(\frac{T_{2}}{T_{1}}\) is \((\mathbf{g}=\) \(10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 0.16
2 0.64
3 1.25
4 0.8
Electric Charges and Fields

267944 A particle of mass\(m\) and charge \(q\) is placed at rest in a uniform electric field \(E\) and then released. The kinetic energy attained by the particle after moving a distance y is

1 \(q E y^{2}\)
2 \(q E^{2} y\)
3 qEy
4 \(q^{2} E y\)
Electric Charges and Fields

267945 Four equipotential curves in an electric fieldare shown in the figure. \(A, B, C\) are three points in the field.If electric intensity at \(A, B, C\) are \(E_{A}, E_{B}, E_{C}\) then

1 \(E_{A}=E_{B}=E_{C}\)
2 \(E_{A}\lt E_{B}\lt E_{C}\)
3 \(E_{A}
4 \(E_{A}\lt E_{B}
Electric Charges and Fields

267946 A particle of mass\(1 \mathrm{Kg}\) and carrying \(0.01 \mathrm{C}\) is at rest on an inclined plane of angle \(30^{\circ}\) with horizontal when an electric field of \(\frac{490}{\sqrt{3}} N C^{-1}\) applied parllel to horizontal .Thecoefficient of friction is

1 0.5
2 \(\frac{1}{\sqrt{3}}\)
3 \(\frac{\sqrt{3}}{2}\)
4 \(\frac{\sqrt{3}}{7}\)
Electric Charges and Fields

267947 Electric field on the axis of a small electricdipoleat a distancer is \(\vec{E}_{1}\) and \(\vec{E}_{2}\) at a distance of \(2 r\) on a line of perpendicular bisector. Then

1 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 8\)
2 \(\overrightarrow{E_{2}}=-\overrightarrow{E_{1}} / 16\)
3 \(\vec{E}_{2}=-\overrightarrow{E_{1}} / 4\)
4 \(\overrightarrow{E_{2}}=\overrightarrow{E_{1}} / 8\)