03. ELECTRIC FIELD
Electric Charges and Fields

267952 A sphere carrying charge\(0.01 \mathrm{C}\) is kept at rest without falling down, touching a wall by applying an electric field \(100 \mathrm{~N} / \mathrm{C}\).If the coeffcient of friction between the sphere and the wall is 0.2 , the weight of the sphere is

1 \(4 \mathrm{~N}\)
2 \(2 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(0.2 \mathrm{~N}\)
Electric Charges and Fields

267953 A particle of mass\(1 \mathrm{~kg}\) and carrying positive charge \(0.01 \mathrm{C}\) issliding down an inclined plane of angle \(30^{\circ}\) with the horizontal. An electric field \(E\) is applied to stop the particle. If the coefficient of friction between the particle and
the surface of the plane is \(\frac{1}{2 \sqrt{3}}, E\) must be

1 \(1260 \mathrm{~V} / \mathrm{m}\)
2 \(245 V/m\)
3 \(140 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
4 \(490 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
Electric Charges and Fields

267954 Two identical point charges are placed at a separation of /.\(\mathrm{P}\) is a point on the line joining the charges, at a distance \(x\) from any one charge. The field at \(P\) is \(E\). \(E\) is plotted against \(x\) for values of \(x\) from close to zero to slightly less than 1. Which of the following best represents the resulting curve?

1
2
3
4
Electric Charges and Fields

267955 A particle of charge\(-q\) and mass \(m\) moves in a circular orbit of radius \(r\) about a fixed charge \(+Q\). The relation between the radius of the orbit \(r\) and thetime period \(T\) is

1 \(r=\frac{Q q}{16 \pi^{2} \epsilon_{0} m} T^{3}\)
2 \(r^{3}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{2}\)
3 \(r^{2}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{3}\)
4 \(r^{2}=\frac{Q q}{16 \pi \epsilon_{0} m} T^{3}\)
Electric Charges and Fields

267952 A sphere carrying charge\(0.01 \mathrm{C}\) is kept at rest without falling down, touching a wall by applying an electric field \(100 \mathrm{~N} / \mathrm{C}\).If the coeffcient of friction between the sphere and the wall is 0.2 , the weight of the sphere is

1 \(4 \mathrm{~N}\)
2 \(2 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(0.2 \mathrm{~N}\)
Electric Charges and Fields

267953 A particle of mass\(1 \mathrm{~kg}\) and carrying positive charge \(0.01 \mathrm{C}\) issliding down an inclined plane of angle \(30^{\circ}\) with the horizontal. An electric field \(E\) is applied to stop the particle. If the coefficient of friction between the particle and
the surface of the plane is \(\frac{1}{2 \sqrt{3}}, E\) must be

1 \(1260 \mathrm{~V} / \mathrm{m}\)
2 \(245 V/m\)
3 \(140 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
4 \(490 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
Electric Charges and Fields

267954 Two identical point charges are placed at a separation of /.\(\mathrm{P}\) is a point on the line joining the charges, at a distance \(x\) from any one charge. The field at \(P\) is \(E\). \(E\) is plotted against \(x\) for values of \(x\) from close to zero to slightly less than 1. Which of the following best represents the resulting curve?

1
2
3
4
Electric Charges and Fields

267955 A particle of charge\(-q\) and mass \(m\) moves in a circular orbit of radius \(r\) about a fixed charge \(+Q\). The relation between the radius of the orbit \(r\) and thetime period \(T\) is

1 \(r=\frac{Q q}{16 \pi^{2} \epsilon_{0} m} T^{3}\)
2 \(r^{3}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{2}\)
3 \(r^{2}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{3}\)
4 \(r^{2}=\frac{Q q}{16 \pi \epsilon_{0} m} T^{3}\)
Electric Charges and Fields

267952 A sphere carrying charge\(0.01 \mathrm{C}\) is kept at rest without falling down, touching a wall by applying an electric field \(100 \mathrm{~N} / \mathrm{C}\).If the coeffcient of friction between the sphere and the wall is 0.2 , the weight of the sphere is

1 \(4 \mathrm{~N}\)
2 \(2 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(0.2 \mathrm{~N}\)
Electric Charges and Fields

267953 A particle of mass\(1 \mathrm{~kg}\) and carrying positive charge \(0.01 \mathrm{C}\) issliding down an inclined plane of angle \(30^{\circ}\) with the horizontal. An electric field \(E\) is applied to stop the particle. If the coefficient of friction between the particle and
the surface of the plane is \(\frac{1}{2 \sqrt{3}}, E\) must be

1 \(1260 \mathrm{~V} / \mathrm{m}\)
2 \(245 V/m\)
3 \(140 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
4 \(490 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
Electric Charges and Fields

267954 Two identical point charges are placed at a separation of /.\(\mathrm{P}\) is a point on the line joining the charges, at a distance \(x\) from any one charge. The field at \(P\) is \(E\). \(E\) is plotted against \(x\) for values of \(x\) from close to zero to slightly less than 1. Which of the following best represents the resulting curve?

1
2
3
4
Electric Charges and Fields

267955 A particle of charge\(-q\) and mass \(m\) moves in a circular orbit of radius \(r\) about a fixed charge \(+Q\). The relation between the radius of the orbit \(r\) and thetime period \(T\) is

1 \(r=\frac{Q q}{16 \pi^{2} \epsilon_{0} m} T^{3}\)
2 \(r^{3}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{2}\)
3 \(r^{2}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{3}\)
4 \(r^{2}=\frac{Q q}{16 \pi \epsilon_{0} m} T^{3}\)
Electric Charges and Fields

267952 A sphere carrying charge\(0.01 \mathrm{C}\) is kept at rest without falling down, touching a wall by applying an electric field \(100 \mathrm{~N} / \mathrm{C}\).If the coeffcient of friction between the sphere and the wall is 0.2 , the weight of the sphere is

1 \(4 \mathrm{~N}\)
2 \(2 \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 \(0.2 \mathrm{~N}\)
Electric Charges and Fields

267953 A particle of mass\(1 \mathrm{~kg}\) and carrying positive charge \(0.01 \mathrm{C}\) issliding down an inclined plane of angle \(30^{\circ}\) with the horizontal. An electric field \(E\) is applied to stop the particle. If the coefficient of friction between the particle and
the surface of the plane is \(\frac{1}{2 \sqrt{3}}, E\) must be

1 \(1260 \mathrm{~V} / \mathrm{m}\)
2 \(245 V/m\)
3 \(140 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
4 \(490 \sqrt{3} \mathrm{~V} / \mathrm{m}\)
Electric Charges and Fields

267954 Two identical point charges are placed at a separation of /.\(\mathrm{P}\) is a point on the line joining the charges, at a distance \(x\) from any one charge. The field at \(P\) is \(E\). \(E\) is plotted against \(x\) for values of \(x\) from close to zero to slightly less than 1. Which of the following best represents the resulting curve?

1
2
3
4
Electric Charges and Fields

267955 A particle of charge\(-q\) and mass \(m\) moves in a circular orbit of radius \(r\) about a fixed charge \(+Q\). The relation between the radius of the orbit \(r\) and thetime period \(T\) is

1 \(r=\frac{Q q}{16 \pi^{2} \epsilon_{0} m} T^{3}\)
2 \(r^{3}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{2}\)
3 \(r^{2}=\frac{Q q}{16 \pi^{3} \epsilon_{0} m} T^{3}\)
4 \(r^{2}=\frac{Q q}{16 \pi \epsilon_{0} m} T^{3}\)