02. COULOMB'S LAW
Electric Charges and Fields

267866 A charge\(Q\) is divided into two parts \(q_{1}\) and \(q_{2}\) such that they experience maximum force of repulsion when separated by certain distance. The ratio of \(Q, q_{1}\) and \(q_{2}\) is

1 \(1: 1: 2\)
2 \(1: 2: 2\)
3 \(2: 2: 1\)
4 \(2: 1: 1\)
Electric Charges and Fields

267867 Two charges each \(1 \mu c\)areat \(P(2 \hat{j}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is \(\qquad\)

1 \(100 \mathrm{~N}\)
2 \(10 \mathrm{~N}\)
3 \(10^{4}\) dyne
4 200 dyne
Electric Charges and Fields

267868 Two charges of \(+200 \mu \mathrm{C}\) and \(-200 \mu \mathrm{C}\) are placed at the corners \(B\) and \(C\) of an equilateral triangle \(A B C\) of side \(0.1 \mathrm{~m}\). The force on a charge of \(5 \mu C\) placed \(A\) is

1 \(1800 \mathrm{~N}\)
2 2200\(\sqrt{3} N\)
3 \(600 \sqrt{3} \mathrm{~N}\)
4 \(900 \mathrm{~N}\)
Electric Charges and Fields

267869 Two equally charged pith balls\(3 \mathrm{~cm}\) apart repel each other with a force of \(4 \times 10^{-5}\) newton. The charge on each ball is

1 \(2 \times 10^{\circ} \mathrm{C}\)
2 \(2 \times 10^{-9} \mathrm{C}\)
3 \(\frac{2}{3} \times 10^{9} \mathrm{C}\)
4 \(\frac{2}{3} \times 10^{-9} \mathrm{C}\)
Electric Charges and Fields

267887 Two charges when kept at a distance of \(1 \mathrm{~m}\) apart in vacuum hava some forceof repulsion. If the force of repulsion between these two charges be same, when placed in an oil of dielectric constant 4 , the distance of separation is

1 \(0.25 \mathrm{~m}\)
2 \(0.4 \mathrm{~m}\)
3 \(0.5 \mathrm{~m}\)
4 \(0.6 \mathrm{~m}\)
Electric Charges and Fields

267866 A charge\(Q\) is divided into two parts \(q_{1}\) and \(q_{2}\) such that they experience maximum force of repulsion when separated by certain distance. The ratio of \(Q, q_{1}\) and \(q_{2}\) is

1 \(1: 1: 2\)
2 \(1: 2: 2\)
3 \(2: 2: 1\)
4 \(2: 1: 1\)
Electric Charges and Fields

267867 Two charges each \(1 \mu c\)areat \(P(2 \hat{j}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is \(\qquad\)

1 \(100 \mathrm{~N}\)
2 \(10 \mathrm{~N}\)
3 \(10^{4}\) dyne
4 200 dyne
Electric Charges and Fields

267868 Two charges of \(+200 \mu \mathrm{C}\) and \(-200 \mu \mathrm{C}\) are placed at the corners \(B\) and \(C\) of an equilateral triangle \(A B C\) of side \(0.1 \mathrm{~m}\). The force on a charge of \(5 \mu C\) placed \(A\) is

1 \(1800 \mathrm{~N}\)
2 2200\(\sqrt{3} N\)
3 \(600 \sqrt{3} \mathrm{~N}\)
4 \(900 \mathrm{~N}\)
Electric Charges and Fields

267869 Two equally charged pith balls\(3 \mathrm{~cm}\) apart repel each other with a force of \(4 \times 10^{-5}\) newton. The charge on each ball is

1 \(2 \times 10^{\circ} \mathrm{C}\)
2 \(2 \times 10^{-9} \mathrm{C}\)
3 \(\frac{2}{3} \times 10^{9} \mathrm{C}\)
4 \(\frac{2}{3} \times 10^{-9} \mathrm{C}\)
Electric Charges and Fields

267887 Two charges when kept at a distance of \(1 \mathrm{~m}\) apart in vacuum hava some forceof repulsion. If the force of repulsion between these two charges be same, when placed in an oil of dielectric constant 4 , the distance of separation is

1 \(0.25 \mathrm{~m}\)
2 \(0.4 \mathrm{~m}\)
3 \(0.5 \mathrm{~m}\)
4 \(0.6 \mathrm{~m}\)
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Electric Charges and Fields

267866 A charge\(Q\) is divided into two parts \(q_{1}\) and \(q_{2}\) such that they experience maximum force of repulsion when separated by certain distance. The ratio of \(Q, q_{1}\) and \(q_{2}\) is

1 \(1: 1: 2\)
2 \(1: 2: 2\)
3 \(2: 2: 1\)
4 \(2: 1: 1\)
Electric Charges and Fields

267867 Two charges each \(1 \mu c\)areat \(P(2 \hat{j}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is \(\qquad\)

1 \(100 \mathrm{~N}\)
2 \(10 \mathrm{~N}\)
3 \(10^{4}\) dyne
4 200 dyne
Electric Charges and Fields

267868 Two charges of \(+200 \mu \mathrm{C}\) and \(-200 \mu \mathrm{C}\) are placed at the corners \(B\) and \(C\) of an equilateral triangle \(A B C\) of side \(0.1 \mathrm{~m}\). The force on a charge of \(5 \mu C\) placed \(A\) is

1 \(1800 \mathrm{~N}\)
2 2200\(\sqrt{3} N\)
3 \(600 \sqrt{3} \mathrm{~N}\)
4 \(900 \mathrm{~N}\)
Electric Charges and Fields

267869 Two equally charged pith balls\(3 \mathrm{~cm}\) apart repel each other with a force of \(4 \times 10^{-5}\) newton. The charge on each ball is

1 \(2 \times 10^{\circ} \mathrm{C}\)
2 \(2 \times 10^{-9} \mathrm{C}\)
3 \(\frac{2}{3} \times 10^{9} \mathrm{C}\)
4 \(\frac{2}{3} \times 10^{-9} \mathrm{C}\)
Electric Charges and Fields

267887 Two charges when kept at a distance of \(1 \mathrm{~m}\) apart in vacuum hava some forceof repulsion. If the force of repulsion between these two charges be same, when placed in an oil of dielectric constant 4 , the distance of separation is

1 \(0.25 \mathrm{~m}\)
2 \(0.4 \mathrm{~m}\)
3 \(0.5 \mathrm{~m}\)
4 \(0.6 \mathrm{~m}\)
Electric Charges and Fields

267866 A charge\(Q\) is divided into two parts \(q_{1}\) and \(q_{2}\) such that they experience maximum force of repulsion when separated by certain distance. The ratio of \(Q, q_{1}\) and \(q_{2}\) is

1 \(1: 1: 2\)
2 \(1: 2: 2\)
3 \(2: 2: 1\)
4 \(2: 1: 1\)
Electric Charges and Fields

267867 Two charges each \(1 \mu c\)areat \(P(2 \hat{j}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is \(\qquad\)

1 \(100 \mathrm{~N}\)
2 \(10 \mathrm{~N}\)
3 \(10^{4}\) dyne
4 200 dyne
Electric Charges and Fields

267868 Two charges of \(+200 \mu \mathrm{C}\) and \(-200 \mu \mathrm{C}\) are placed at the corners \(B\) and \(C\) of an equilateral triangle \(A B C\) of side \(0.1 \mathrm{~m}\). The force on a charge of \(5 \mu C\) placed \(A\) is

1 \(1800 \mathrm{~N}\)
2 2200\(\sqrt{3} N\)
3 \(600 \sqrt{3} \mathrm{~N}\)
4 \(900 \mathrm{~N}\)
Electric Charges and Fields

267869 Two equally charged pith balls\(3 \mathrm{~cm}\) apart repel each other with a force of \(4 \times 10^{-5}\) newton. The charge on each ball is

1 \(2 \times 10^{\circ} \mathrm{C}\)
2 \(2 \times 10^{-9} \mathrm{C}\)
3 \(\frac{2}{3} \times 10^{9} \mathrm{C}\)
4 \(\frac{2}{3} \times 10^{-9} \mathrm{C}\)
Electric Charges and Fields

267887 Two charges when kept at a distance of \(1 \mathrm{~m}\) apart in vacuum hava some forceof repulsion. If the force of repulsion between these two charges be same, when placed in an oil of dielectric constant 4 , the distance of separation is

1 \(0.25 \mathrm{~m}\)
2 \(0.4 \mathrm{~m}\)
3 \(0.5 \mathrm{~m}\)
4 \(0.6 \mathrm{~m}\)
Electric Charges and Fields

267866 A charge\(Q\) is divided into two parts \(q_{1}\) and \(q_{2}\) such that they experience maximum force of repulsion when separated by certain distance. The ratio of \(Q, q_{1}\) and \(q_{2}\) is

1 \(1: 1: 2\)
2 \(1: 2: 2\)
3 \(2: 2: 1\)
4 \(2: 1: 1\)
Electric Charges and Fields

267867 Two charges each \(1 \mu c\)areat \(P(2 \hat{j}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is \(\qquad\)

1 \(100 \mathrm{~N}\)
2 \(10 \mathrm{~N}\)
3 \(10^{4}\) dyne
4 200 dyne
Electric Charges and Fields

267868 Two charges of \(+200 \mu \mathrm{C}\) and \(-200 \mu \mathrm{C}\) are placed at the corners \(B\) and \(C\) of an equilateral triangle \(A B C\) of side \(0.1 \mathrm{~m}\). The force on a charge of \(5 \mu C\) placed \(A\) is

1 \(1800 \mathrm{~N}\)
2 2200\(\sqrt{3} N\)
3 \(600 \sqrt{3} \mathrm{~N}\)
4 \(900 \mathrm{~N}\)
Electric Charges and Fields

267869 Two equally charged pith balls\(3 \mathrm{~cm}\) apart repel each other with a force of \(4 \times 10^{-5}\) newton. The charge on each ball is

1 \(2 \times 10^{\circ} \mathrm{C}\)
2 \(2 \times 10^{-9} \mathrm{C}\)
3 \(\frac{2}{3} \times 10^{9} \mathrm{C}\)
4 \(\frac{2}{3} \times 10^{-9} \mathrm{C}\)
Electric Charges and Fields

267887 Two charges when kept at a distance of \(1 \mathrm{~m}\) apart in vacuum hava some forceof repulsion. If the force of repulsion between these two charges be same, when placed in an oil of dielectric constant 4 , the distance of separation is

1 \(0.25 \mathrm{~m}\)
2 \(0.4 \mathrm{~m}\)
3 \(0.5 \mathrm{~m}\)
4 \(0.6 \mathrm{~m}\)