02. COULOMB'S LAW
Electric Charges and Fields

267846 Two identical metal spheres possess\(+60 \mathrm{C}\) and -20C of charges. They are brought in contact and then separated by \(10 \mathrm{~cm}\).The force between them is

1 \(36 \times 10^{13} \mathrm{~N}\)
2 \(36 \times 10^{14} \mathrm{~N}\)
3 \(36 \times 10^{12} \mathrm{~N}\)
4 \(3.6 \times 10^{12} \mathrm{~N}\)
Electric Charges and Fields

267847 A charge\(q\) is placed at the centre of the line joining two equal charges \(Q\). The system of threecharges will bein equilibrium if \(q\) is equal to

1 \(-\frac{Q}{2}\)
2 \(-\frac{Q}{4}\)
3 \(+\frac{Q}{4}\)
4 \(\frac{Q}{2}\)
Electric Charges and Fields

267848 Three charges\(-q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) '. The resultant electric force on a charge \(+q\) placed at the centroid 0 of the triangle is

1 \(\frac{3 q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
2 \(\frac{q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
3 \(\frac{q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
4 \(\frac{3 q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
Electric Charges and Fields

267849 A charge of\(+2 \mu \mathrm{C}\) is placed at \(\mathrm{x}=0\) and \(a\) charge of \(-32 \mu C\) at \(x=60 \mathrm{~cm}\). A third charge\(Q\) be placed on the \(x\)-axis such that it experiences no force. The distance of the point from \(+2 \mu \mathrm{C}\) is(in \(\mathrm{cm}\) )

1 -20
2 20
3 15
4 10
Electric Charges and Fields

267846 Two identical metal spheres possess\(+60 \mathrm{C}\) and -20C of charges. They are brought in contact and then separated by \(10 \mathrm{~cm}\).The force between them is

1 \(36 \times 10^{13} \mathrm{~N}\)
2 \(36 \times 10^{14} \mathrm{~N}\)
3 \(36 \times 10^{12} \mathrm{~N}\)
4 \(3.6 \times 10^{12} \mathrm{~N}\)
Electric Charges and Fields

267847 A charge\(q\) is placed at the centre of the line joining two equal charges \(Q\). The system of threecharges will bein equilibrium if \(q\) is equal to

1 \(-\frac{Q}{2}\)
2 \(-\frac{Q}{4}\)
3 \(+\frac{Q}{4}\)
4 \(\frac{Q}{2}\)
Electric Charges and Fields

267848 Three charges\(-q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) '. The resultant electric force on a charge \(+q\) placed at the centroid 0 of the triangle is

1 \(\frac{3 q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
2 \(\frac{q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
3 \(\frac{q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
4 \(\frac{3 q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
Electric Charges and Fields

267849 A charge of\(+2 \mu \mathrm{C}\) is placed at \(\mathrm{x}=0\) and \(a\) charge of \(-32 \mu C\) at \(x=60 \mathrm{~cm}\). A third charge\(Q\) be placed on the \(x\)-axis such that it experiences no force. The distance of the point from \(+2 \mu \mathrm{C}\) is(in \(\mathrm{cm}\) )

1 -20
2 20
3 15
4 10
Electric Charges and Fields

267846 Two identical metal spheres possess\(+60 \mathrm{C}\) and -20C of charges. They are brought in contact and then separated by \(10 \mathrm{~cm}\).The force between them is

1 \(36 \times 10^{13} \mathrm{~N}\)
2 \(36 \times 10^{14} \mathrm{~N}\)
3 \(36 \times 10^{12} \mathrm{~N}\)
4 \(3.6 \times 10^{12} \mathrm{~N}\)
Electric Charges and Fields

267847 A charge\(q\) is placed at the centre of the line joining two equal charges \(Q\). The system of threecharges will bein equilibrium if \(q\) is equal to

1 \(-\frac{Q}{2}\)
2 \(-\frac{Q}{4}\)
3 \(+\frac{Q}{4}\)
4 \(\frac{Q}{2}\)
Electric Charges and Fields

267848 Three charges\(-q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) '. The resultant electric force on a charge \(+q\) placed at the centroid 0 of the triangle is

1 \(\frac{3 q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
2 \(\frac{q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
3 \(\frac{q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
4 \(\frac{3 q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
Electric Charges and Fields

267849 A charge of\(+2 \mu \mathrm{C}\) is placed at \(\mathrm{x}=0\) and \(a\) charge of \(-32 \mu C\) at \(x=60 \mathrm{~cm}\). A third charge\(Q\) be placed on the \(x\)-axis such that it experiences no force. The distance of the point from \(+2 \mu \mathrm{C}\) is(in \(\mathrm{cm}\) )

1 -20
2 20
3 15
4 10
Electric Charges and Fields

267846 Two identical metal spheres possess\(+60 \mathrm{C}\) and -20C of charges. They are brought in contact and then separated by \(10 \mathrm{~cm}\).The force between them is

1 \(36 \times 10^{13} \mathrm{~N}\)
2 \(36 \times 10^{14} \mathrm{~N}\)
3 \(36 \times 10^{12} \mathrm{~N}\)
4 \(3.6 \times 10^{12} \mathrm{~N}\)
Electric Charges and Fields

267847 A charge\(q\) is placed at the centre of the line joining two equal charges \(Q\). The system of threecharges will bein equilibrium if \(q\) is equal to

1 \(-\frac{Q}{2}\)
2 \(-\frac{Q}{4}\)
3 \(+\frac{Q}{4}\)
4 \(\frac{Q}{2}\)
Electric Charges and Fields

267848 Three charges\(-q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) '. The resultant electric force on a charge \(+q\) placed at the centroid 0 of the triangle is

1 \(\frac{3 q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
2 \(\frac{q^{2}}{4 \pi \varepsilon_{0} a^{2}}\)
3 \(\frac{q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
4 \(\frac{3 q^{2}}{2 \pi \varepsilon_{0} a^{2}}\)
Electric Charges and Fields

267849 A charge of\(+2 \mu \mathrm{C}\) is placed at \(\mathrm{x}=0\) and \(a\) charge of \(-32 \mu C\) at \(x=60 \mathrm{~cm}\). A third charge\(Q\) be placed on the \(x\)-axis such that it experiences no force. The distance of the point from \(+2 \mu \mathrm{C}\) is(in \(\mathrm{cm}\) )

1 -20
2 20
3 15
4 10