Potential Energy
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359482 An electron travelling in a region of electrostatic potential \({V_1}\) passes into a region of higher potential \({V_2}\), then the change in its kinetic energy is proportional to

1 \(({V_2} - {V_1})/{V_1}\)
2 \(({V_2} - {V_1})\)
3 \({({V_2} - {V_1})^{1/2}}\)
4 \({({V_2} - {V_1})^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359483 A uniform electric field vector \(\vec{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_{A}\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown: The potential energy of the charge when it is at point \(B\) is
supporting img

1 \(q\left[E x-V_{A}\right]\)
2 \(q E x\)
3 \(q\left[V_{A}-E x\right]\)
4 \(q\left[V_{A}+E x\right]\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359484 The electrostatic potential energy between proton and \(\alpha\)-particle seperated by a distance 2 \(\mathop A\limits^ \circ \) is:

1 \(20 \times {10^{ - 18}}\,J\)
2 \(2.3 \times {10^{ - 18}}\,J\)
3 \(34 \times {10^{ - 19}}\,J\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359485 Two equal charges \(q\) are placed at a distance of \(2a\) and a third charge \( - 2q\) is placed at the midpoint. The potential energy of the system is

1 \(\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}\)
2 \(\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}\)
3 \(\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}\)
4 \( - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359486 2\(q\) and 3\(q\) are two charges separated by a distance 12 \(cm\) on \(x\)- axis.A third charge \(q\) is placed at 5 \(cm\) on \(y\) -axis as shown in the figure. Find the change in potential energy of the system if \(q\) is moved from initial position to a point on \(X\) - axis in circular path:
supporting img

1 \(\frac{{3{q^2}}}{{4\pi {\varepsilon _0}}}\)
2 \(\frac{{{q^2}}}{{4\pi {\varepsilon _0}}}\)
3 \(\frac{{18{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
4 \(\frac{{16{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359482 An electron travelling in a region of electrostatic potential \({V_1}\) passes into a region of higher potential \({V_2}\), then the change in its kinetic energy is proportional to

1 \(({V_2} - {V_1})/{V_1}\)
2 \(({V_2} - {V_1})\)
3 \({({V_2} - {V_1})^{1/2}}\)
4 \({({V_2} - {V_1})^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359483 A uniform electric field vector \(\vec{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_{A}\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown: The potential energy of the charge when it is at point \(B\) is
supporting img

1 \(q\left[E x-V_{A}\right]\)
2 \(q E x\)
3 \(q\left[V_{A}-E x\right]\)
4 \(q\left[V_{A}+E x\right]\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359484 The electrostatic potential energy between proton and \(\alpha\)-particle seperated by a distance 2 \(\mathop A\limits^ \circ \) is:

1 \(20 \times {10^{ - 18}}\,J\)
2 \(2.3 \times {10^{ - 18}}\,J\)
3 \(34 \times {10^{ - 19}}\,J\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359485 Two equal charges \(q\) are placed at a distance of \(2a\) and a third charge \( - 2q\) is placed at the midpoint. The potential energy of the system is

1 \(\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}\)
2 \(\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}\)
3 \(\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}\)
4 \( - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359486 2\(q\) and 3\(q\) are two charges separated by a distance 12 \(cm\) on \(x\)- axis.A third charge \(q\) is placed at 5 \(cm\) on \(y\) -axis as shown in the figure. Find the change in potential energy of the system if \(q\) is moved from initial position to a point on \(X\) - axis in circular path:
supporting img

1 \(\frac{{3{q^2}}}{{4\pi {\varepsilon _0}}}\)
2 \(\frac{{{q^2}}}{{4\pi {\varepsilon _0}}}\)
3 \(\frac{{18{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
4 \(\frac{{16{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359482 An electron travelling in a region of electrostatic potential \({V_1}\) passes into a region of higher potential \({V_2}\), then the change in its kinetic energy is proportional to

1 \(({V_2} - {V_1})/{V_1}\)
2 \(({V_2} - {V_1})\)
3 \({({V_2} - {V_1})^{1/2}}\)
4 \({({V_2} - {V_1})^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359483 A uniform electric field vector \(\vec{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_{A}\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown: The potential energy of the charge when it is at point \(B\) is
supporting img

1 \(q\left[E x-V_{A}\right]\)
2 \(q E x\)
3 \(q\left[V_{A}-E x\right]\)
4 \(q\left[V_{A}+E x\right]\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359484 The electrostatic potential energy between proton and \(\alpha\)-particle seperated by a distance 2 \(\mathop A\limits^ \circ \) is:

1 \(20 \times {10^{ - 18}}\,J\)
2 \(2.3 \times {10^{ - 18}}\,J\)
3 \(34 \times {10^{ - 19}}\,J\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359485 Two equal charges \(q\) are placed at a distance of \(2a\) and a third charge \( - 2q\) is placed at the midpoint. The potential energy of the system is

1 \(\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}\)
2 \(\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}\)
3 \(\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}\)
4 \( - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359486 2\(q\) and 3\(q\) are two charges separated by a distance 12 \(cm\) on \(x\)- axis.A third charge \(q\) is placed at 5 \(cm\) on \(y\) -axis as shown in the figure. Find the change in potential energy of the system if \(q\) is moved from initial position to a point on \(X\) - axis in circular path:
supporting img

1 \(\frac{{3{q^2}}}{{4\pi {\varepsilon _0}}}\)
2 \(\frac{{{q^2}}}{{4\pi {\varepsilon _0}}}\)
3 \(\frac{{18{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
4 \(\frac{{16{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359482 An electron travelling in a region of electrostatic potential \({V_1}\) passes into a region of higher potential \({V_2}\), then the change in its kinetic energy is proportional to

1 \(({V_2} - {V_1})/{V_1}\)
2 \(({V_2} - {V_1})\)
3 \({({V_2} - {V_1})^{1/2}}\)
4 \({({V_2} - {V_1})^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359483 A uniform electric field vector \(\vec{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_{A}\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown: The potential energy of the charge when it is at point \(B\) is
supporting img

1 \(q\left[E x-V_{A}\right]\)
2 \(q E x\)
3 \(q\left[V_{A}-E x\right]\)
4 \(q\left[V_{A}+E x\right]\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359484 The electrostatic potential energy between proton and \(\alpha\)-particle seperated by a distance 2 \(\mathop A\limits^ \circ \) is:

1 \(20 \times {10^{ - 18}}\,J\)
2 \(2.3 \times {10^{ - 18}}\,J\)
3 \(34 \times {10^{ - 19}}\,J\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359485 Two equal charges \(q\) are placed at a distance of \(2a\) and a third charge \( - 2q\) is placed at the midpoint. The potential energy of the system is

1 \(\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}\)
2 \(\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}\)
3 \(\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}\)
4 \( - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359486 2\(q\) and 3\(q\) are two charges separated by a distance 12 \(cm\) on \(x\)- axis.A third charge \(q\) is placed at 5 \(cm\) on \(y\) -axis as shown in the figure. Find the change in potential energy of the system if \(q\) is moved from initial position to a point on \(X\) - axis in circular path:
supporting img

1 \(\frac{{3{q^2}}}{{4\pi {\varepsilon _0}}}\)
2 \(\frac{{{q^2}}}{{4\pi {\varepsilon _0}}}\)
3 \(\frac{{18{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
4 \(\frac{{16{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359482 An electron travelling in a region of electrostatic potential \({V_1}\) passes into a region of higher potential \({V_2}\), then the change in its kinetic energy is proportional to

1 \(({V_2} - {V_1})/{V_1}\)
2 \(({V_2} - {V_1})\)
3 \({({V_2} - {V_1})^{1/2}}\)
4 \({({V_2} - {V_1})^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359483 A uniform electric field vector \(\vec{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_{A}\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown: The potential energy of the charge when it is at point \(B\) is
supporting img

1 \(q\left[E x-V_{A}\right]\)
2 \(q E x\)
3 \(q\left[V_{A}-E x\right]\)
4 \(q\left[V_{A}+E x\right]\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359484 The electrostatic potential energy between proton and \(\alpha\)-particle seperated by a distance 2 \(\mathop A\limits^ \circ \) is:

1 \(20 \times {10^{ - 18}}\,J\)
2 \(2.3 \times {10^{ - 18}}\,J\)
3 \(34 \times {10^{ - 19}}\,J\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359485 Two equal charges \(q\) are placed at a distance of \(2a\) and a third charge \( - 2q\) is placed at the midpoint. The potential energy of the system is

1 \(\frac{{6{q^2}}}{{8\pi {\varepsilon _0}a}}\)
2 \(\frac{{{q^2}}}{{8\pi {\varepsilon _0}a}}\)
3 \(\frac{{9{q^2}}}{{8\pi {\varepsilon _0}a}}\)
4 \( - \frac{{7{q^2}}}{{8\pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359486 2\(q\) and 3\(q\) are two charges separated by a distance 12 \(cm\) on \(x\)- axis.A third charge \(q\) is placed at 5 \(cm\) on \(y\) -axis as shown in the figure. Find the change in potential energy of the system if \(q\) is moved from initial position to a point on \(X\) - axis in circular path:
supporting img

1 \(\frac{{3{q^2}}}{{4\pi {\varepsilon _0}}}\)
2 \(\frac{{{q^2}}}{{4\pi {\varepsilon _0}}}\)
3 \(\frac{{18{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)
4 \(\frac{{16{q^2}}}{{4\pi {\varepsilon _0}(91)}}\)