02. COULOMB'S LAW
Electric Charges and Fields

267892 Electrical force between two point charges is \(200 \mathrm{~N}\). If we increase \(10 \%\) charge on one of the charges and decrease \(10 \%\) charge on the other, then electrical force between them for the same distance becomes

1 \(198 \mathrm{~N}\)
2 \(100 \mathrm{~N}\)
3 \(200 \mathrm{~N}\)
4 \(99 \mathrm{~N}\)
Electric Charges and Fields

267893 N fundamental charges each of charge ' \(q\) ' are to be distributed as two point charges seperated by a fixed distance, then the maximum to minimum force bears a ratio ( \(\mathrm{N}\) is even and greater than 2)

1 \(\frac{(N-1)^{2}}{4 N^{2}}\)
2 \(\frac{4 N^{2}}{(N-1)}\)
3 \(\frac{N^{2}}{4(N-1)}\)
4 \(\frac{2 N^{2}}{(N-1)}\)
Electric Charges and Fields

267894 A particleA having a charge of \(2 \times 10^{-6} \mathrm{C}\) and a mass of \(100 \mathrm{~g}\) is placed at the bottom of a smooth inclined plane of inclination \(30^{\circ}\). The distance of another particle of samemass and charge, be placed on the incline so that it may remain in equilibrium is

1 \(27 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(30 \mathrm{~cm}\)
4 \(45 \mathrm{~cm}\)
Electric Charges and Fields

267895 Two identical particles of charge \(q\) each are connected by a massless spring of force constant k. They are placed over a smooth horizontal surface.They are released when unstretched. If maximum extension of the spring is \(r\), the value of \(k\) is : (neglect gravitational effect)

1 \(k=\frac{q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
2 \(k=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{l^{2}} \times \frac{1}{r}\)
3 \(k=\frac{2 q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
4 \(k=\frac{q}{r} \sqrt{\frac{2}{\pi \varepsilon_{0} r}}\)
Electric Charges and Fields

267892 Electrical force between two point charges is \(200 \mathrm{~N}\). If we increase \(10 \%\) charge on one of the charges and decrease \(10 \%\) charge on the other, then electrical force between them for the same distance becomes

1 \(198 \mathrm{~N}\)
2 \(100 \mathrm{~N}\)
3 \(200 \mathrm{~N}\)
4 \(99 \mathrm{~N}\)
Electric Charges and Fields

267893 N fundamental charges each of charge ' \(q\) ' are to be distributed as two point charges seperated by a fixed distance, then the maximum to minimum force bears a ratio ( \(\mathrm{N}\) is even and greater than 2)

1 \(\frac{(N-1)^{2}}{4 N^{2}}\)
2 \(\frac{4 N^{2}}{(N-1)}\)
3 \(\frac{N^{2}}{4(N-1)}\)
4 \(\frac{2 N^{2}}{(N-1)}\)
Electric Charges and Fields

267894 A particleA having a charge of \(2 \times 10^{-6} \mathrm{C}\) and a mass of \(100 \mathrm{~g}\) is placed at the bottom of a smooth inclined plane of inclination \(30^{\circ}\). The distance of another particle of samemass and charge, be placed on the incline so that it may remain in equilibrium is

1 \(27 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(30 \mathrm{~cm}\)
4 \(45 \mathrm{~cm}\)
Electric Charges and Fields

267895 Two identical particles of charge \(q\) each are connected by a massless spring of force constant k. They are placed over a smooth horizontal surface.They are released when unstretched. If maximum extension of the spring is \(r\), the value of \(k\) is : (neglect gravitational effect)

1 \(k=\frac{q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
2 \(k=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{l^{2}} \times \frac{1}{r}\)
3 \(k=\frac{2 q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
4 \(k=\frac{q}{r} \sqrt{\frac{2}{\pi \varepsilon_{0} r}}\)
Electric Charges and Fields

267892 Electrical force between two point charges is \(200 \mathrm{~N}\). If we increase \(10 \%\) charge on one of the charges and decrease \(10 \%\) charge on the other, then electrical force between them for the same distance becomes

1 \(198 \mathrm{~N}\)
2 \(100 \mathrm{~N}\)
3 \(200 \mathrm{~N}\)
4 \(99 \mathrm{~N}\)
Electric Charges and Fields

267893 N fundamental charges each of charge ' \(q\) ' are to be distributed as two point charges seperated by a fixed distance, then the maximum to minimum force bears a ratio ( \(\mathrm{N}\) is even and greater than 2)

1 \(\frac{(N-1)^{2}}{4 N^{2}}\)
2 \(\frac{4 N^{2}}{(N-1)}\)
3 \(\frac{N^{2}}{4(N-1)}\)
4 \(\frac{2 N^{2}}{(N-1)}\)
Electric Charges and Fields

267894 A particleA having a charge of \(2 \times 10^{-6} \mathrm{C}\) and a mass of \(100 \mathrm{~g}\) is placed at the bottom of a smooth inclined plane of inclination \(30^{\circ}\). The distance of another particle of samemass and charge, be placed on the incline so that it may remain in equilibrium is

1 \(27 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(30 \mathrm{~cm}\)
4 \(45 \mathrm{~cm}\)
Electric Charges and Fields

267895 Two identical particles of charge \(q\) each are connected by a massless spring of force constant k. They are placed over a smooth horizontal surface.They are released when unstretched. If maximum extension of the spring is \(r\), the value of \(k\) is : (neglect gravitational effect)

1 \(k=\frac{q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
2 \(k=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{l^{2}} \times \frac{1}{r}\)
3 \(k=\frac{2 q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
4 \(k=\frac{q}{r} \sqrt{\frac{2}{\pi \varepsilon_{0} r}}\)
Electric Charges and Fields

267892 Electrical force between two point charges is \(200 \mathrm{~N}\). If we increase \(10 \%\) charge on one of the charges and decrease \(10 \%\) charge on the other, then electrical force between them for the same distance becomes

1 \(198 \mathrm{~N}\)
2 \(100 \mathrm{~N}\)
3 \(200 \mathrm{~N}\)
4 \(99 \mathrm{~N}\)
Electric Charges and Fields

267893 N fundamental charges each of charge ' \(q\) ' are to be distributed as two point charges seperated by a fixed distance, then the maximum to minimum force bears a ratio ( \(\mathrm{N}\) is even and greater than 2)

1 \(\frac{(N-1)^{2}}{4 N^{2}}\)
2 \(\frac{4 N^{2}}{(N-1)}\)
3 \(\frac{N^{2}}{4(N-1)}\)
4 \(\frac{2 N^{2}}{(N-1)}\)
Electric Charges and Fields

267894 A particleA having a charge of \(2 \times 10^{-6} \mathrm{C}\) and a mass of \(100 \mathrm{~g}\) is placed at the bottom of a smooth inclined plane of inclination \(30^{\circ}\). The distance of another particle of samemass and charge, be placed on the incline so that it may remain in equilibrium is

1 \(27 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(30 \mathrm{~cm}\)
4 \(45 \mathrm{~cm}\)
Electric Charges and Fields

267895 Two identical particles of charge \(q\) each are connected by a massless spring of force constant k. They are placed over a smooth horizontal surface.They are released when unstretched. If maximum extension of the spring is \(r\), the value of \(k\) is : (neglect gravitational effect)

1 \(k=\frac{q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
2 \(k=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{l^{2}} \times \frac{1}{r}\)
3 \(k=\frac{2 q}{r} \sqrt{\frac{1}{\pi \varepsilon_{0} r}}\)
4 \(k=\frac{q}{r} \sqrt{\frac{2}{\pi \varepsilon_{0} r}}\)