02. COULOMB'S LAW
Electric Charges and Fields

267918 There point charges\(+q,-q\) and \(+q\) are placed at the vertices \(P, Q\) and \(R\) of an equilateral triangle as shown. If \(F=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{r^{2}}\), where ' \(r\) ' is the side of the triangle, the force on charge at ' \(P\) ' due to charges at \(Q\) and \(R\) is

1 F alongpositivex-direction
2 F along negative\(x\)-direction
3 \(\sqrt{2} F\) along positive \(x\)-direction
4 \(\sqrt{2} F\) along negative \(x\)-direction
Electric Charges and Fields

267919 Three point charges\(+q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) ' . Another charge \(+Q\) is kept at the centroid. Force exerted on \(Q\) is:

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q Q}{a^{2}}\)
2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{6 q Q}{a^{2}}\)
3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{8 q Q}{a^{2}}\)
4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{14 q Q}{a^{2}}\)
Electric Charges and Fields

267920 Three charges\(-q_{1},+q_{2}\) and \(-q_{3}\) are placed as shown in fig. The \(\mathrm{X}\)-component of the force on \(-\mathrm{q}_{1}\) is proportional to

1 \(\frac{q_2}{b^2}-\frac{q_3}{a^2} \cos \theta\)
2 \(\frac{q_2}{b^2}+\frac{q_3}{a^2} \sin \theta\)
3 \(\frac{q_2}{b^2}+\frac{q_2}{a^2} \cos \theta\)
4 \(\frac{q_2}{b^2}-\frac{q_2}{a^2} \sin \theta\\)
Electric Charges and Fields

272130 Three charges $+q,+2q$ and $+4q$ are connected by strings as shown in the figure. What is ratio of tensions in the strings $AB$ and $BC$ ?

1 $1:2$
2 $1:3$
3 $2:1$
4 $3:1$
Electric Charges and Fields

272131 The figure shows a charge $+q$ at point $P$ held in equilibrium in air with the help of four $+q$ charges situated at the vertices of a square: The net electrostatic force on $q$ is given by

1 Newton's
2 Coulomb's law
3 Principle of superposition
4 Net electric flux out the position of $+q$.
Electric Charges and Fields

267918 There point charges\(+q,-q\) and \(+q\) are placed at the vertices \(P, Q\) and \(R\) of an equilateral triangle as shown. If \(F=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{r^{2}}\), where ' \(r\) ' is the side of the triangle, the force on charge at ' \(P\) ' due to charges at \(Q\) and \(R\) is

1 F alongpositivex-direction
2 F along negative\(x\)-direction
3 \(\sqrt{2} F\) along positive \(x\)-direction
4 \(\sqrt{2} F\) along negative \(x\)-direction
Electric Charges and Fields

267919 Three point charges\(+q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) ' . Another charge \(+Q\) is kept at the centroid. Force exerted on \(Q\) is:

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q Q}{a^{2}}\)
2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{6 q Q}{a^{2}}\)
3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{8 q Q}{a^{2}}\)
4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{14 q Q}{a^{2}}\)
Electric Charges and Fields

267920 Three charges\(-q_{1},+q_{2}\) and \(-q_{3}\) are placed as shown in fig. The \(\mathrm{X}\)-component of the force on \(-\mathrm{q}_{1}\) is proportional to

1 \(\frac{q_2}{b^2}-\frac{q_3}{a^2} \cos \theta\)
2 \(\frac{q_2}{b^2}+\frac{q_3}{a^2} \sin \theta\)
3 \(\frac{q_2}{b^2}+\frac{q_2}{a^2} \cos \theta\)
4 \(\frac{q_2}{b^2}-\frac{q_2}{a^2} \sin \theta\\)
Electric Charges and Fields

272130 Three charges $+q,+2q$ and $+4q$ are connected by strings as shown in the figure. What is ratio of tensions in the strings $AB$ and $BC$ ?

1 $1:2$
2 $1:3$
3 $2:1$
4 $3:1$
Electric Charges and Fields

272131 The figure shows a charge $+q$ at point $P$ held in equilibrium in air with the help of four $+q$ charges situated at the vertices of a square: The net electrostatic force on $q$ is given by

1 Newton's
2 Coulomb's law
3 Principle of superposition
4 Net electric flux out the position of $+q$.
Electric Charges and Fields

267918 There point charges\(+q,-q\) and \(+q\) are placed at the vertices \(P, Q\) and \(R\) of an equilateral triangle as shown. If \(F=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{r^{2}}\), where ' \(r\) ' is the side of the triangle, the force on charge at ' \(P\) ' due to charges at \(Q\) and \(R\) is

1 F alongpositivex-direction
2 F along negative\(x\)-direction
3 \(\sqrt{2} F\) along positive \(x\)-direction
4 \(\sqrt{2} F\) along negative \(x\)-direction
Electric Charges and Fields

267919 Three point charges\(+q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) ' . Another charge \(+Q\) is kept at the centroid. Force exerted on \(Q\) is:

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q Q}{a^{2}}\)
2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{6 q Q}{a^{2}}\)
3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{8 q Q}{a^{2}}\)
4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{14 q Q}{a^{2}}\)
Electric Charges and Fields

267920 Three charges\(-q_{1},+q_{2}\) and \(-q_{3}\) are placed as shown in fig. The \(\mathrm{X}\)-component of the force on \(-\mathrm{q}_{1}\) is proportional to

1 \(\frac{q_2}{b^2}-\frac{q_3}{a^2} \cos \theta\)
2 \(\frac{q_2}{b^2}+\frac{q_3}{a^2} \sin \theta\)
3 \(\frac{q_2}{b^2}+\frac{q_2}{a^2} \cos \theta\)
4 \(\frac{q_2}{b^2}-\frac{q_2}{a^2} \sin \theta\\)
Electric Charges and Fields

272130 Three charges $+q,+2q$ and $+4q$ are connected by strings as shown in the figure. What is ratio of tensions in the strings $AB$ and $BC$ ?

1 $1:2$
2 $1:3$
3 $2:1$
4 $3:1$
Electric Charges and Fields

272131 The figure shows a charge $+q$ at point $P$ held in equilibrium in air with the help of four $+q$ charges situated at the vertices of a square: The net electrostatic force on $q$ is given by

1 Newton's
2 Coulomb's law
3 Principle of superposition
4 Net electric flux out the position of $+q$.
Electric Charges and Fields

267918 There point charges\(+q,-q\) and \(+q\) are placed at the vertices \(P, Q\) and \(R\) of an equilateral triangle as shown. If \(F=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{r^{2}}\), where ' \(r\) ' is the side of the triangle, the force on charge at ' \(P\) ' due to charges at \(Q\) and \(R\) is

1 F alongpositivex-direction
2 F along negative\(x\)-direction
3 \(\sqrt{2} F\) along positive \(x\)-direction
4 \(\sqrt{2} F\) along negative \(x\)-direction
Electric Charges and Fields

267919 Three point charges\(+q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) ' . Another charge \(+Q\) is kept at the centroid. Force exerted on \(Q\) is:

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q Q}{a^{2}}\)
2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{6 q Q}{a^{2}}\)
3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{8 q Q}{a^{2}}\)
4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{14 q Q}{a^{2}}\)
Electric Charges and Fields

267920 Three charges\(-q_{1},+q_{2}\) and \(-q_{3}\) are placed as shown in fig. The \(\mathrm{X}\)-component of the force on \(-\mathrm{q}_{1}\) is proportional to

1 \(\frac{q_2}{b^2}-\frac{q_3}{a^2} \cos \theta\)
2 \(\frac{q_2}{b^2}+\frac{q_3}{a^2} \sin \theta\)
3 \(\frac{q_2}{b^2}+\frac{q_2}{a^2} \cos \theta\)
4 \(\frac{q_2}{b^2}-\frac{q_2}{a^2} \sin \theta\\)
Electric Charges and Fields

272130 Three charges $+q,+2q$ and $+4q$ are connected by strings as shown in the figure. What is ratio of tensions in the strings $AB$ and $BC$ ?

1 $1:2$
2 $1:3$
3 $2:1$
4 $3:1$
Electric Charges and Fields

272131 The figure shows a charge $+q$ at point $P$ held in equilibrium in air with the help of four $+q$ charges situated at the vertices of a square: The net electrostatic force on $q$ is given by

1 Newton's
2 Coulomb's law
3 Principle of superposition
4 Net electric flux out the position of $+q$.
Electric Charges and Fields

267918 There point charges\(+q,-q\) and \(+q\) are placed at the vertices \(P, Q\) and \(R\) of an equilateral triangle as shown. If \(F=\frac{1}{4 \pi \varepsilon_{0}} \frac{q^{2}}{r^{2}}\), where ' \(r\) ' is the side of the triangle, the force on charge at ' \(P\) ' due to charges at \(Q\) and \(R\) is

1 F alongpositivex-direction
2 F along negative\(x\)-direction
3 \(\sqrt{2} F\) along positive \(x\)-direction
4 \(\sqrt{2} F\) along negative \(x\)-direction
Electric Charges and Fields

267919 Three point charges\(+q,+q\) and \(-q\) are placed at the corners of an equilateral triangle of side ' \(a\) ' . Another charge \(+Q\) is kept at the centroid. Force exerted on \(Q\) is:

1 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q Q}{a^{2}}\)
2 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{6 q Q}{a^{2}}\)
3 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{8 q Q}{a^{2}}\)
4 \(\frac{1}{4 \pi \varepsilon_{0}} \frac{14 q Q}{a^{2}}\)
Electric Charges and Fields

267920 Three charges\(-q_{1},+q_{2}\) and \(-q_{3}\) are placed as shown in fig. The \(\mathrm{X}\)-component of the force on \(-\mathrm{q}_{1}\) is proportional to

1 \(\frac{q_2}{b^2}-\frac{q_3}{a^2} \cos \theta\)
2 \(\frac{q_2}{b^2}+\frac{q_3}{a^2} \sin \theta\)
3 \(\frac{q_2}{b^2}+\frac{q_2}{a^2} \cos \theta\)
4 \(\frac{q_2}{b^2}-\frac{q_2}{a^2} \sin \theta\\)
Electric Charges and Fields

272130 Three charges $+q,+2q$ and $+4q$ are connected by strings as shown in the figure. What is ratio of tensions in the strings $AB$ and $BC$ ?

1 $1:2$
2 $1:3$
3 $2:1$
4 $3:1$
Electric Charges and Fields

272131 The figure shows a charge $+q$ at point $P$ held in equilibrium in air with the help of four $+q$ charges situated at the vertices of a square: The net electrostatic force on $q$ is given by

1 Newton's
2 Coulomb's law
3 Principle of superposition
4 Net electric flux out the position of $+q$.