An electric charge $10^{-6} \mu \mathrm{C}$ is placed at origin $(0,0)$ $\mathrm{m}$ of $\mathrm{X}-\mathrm{Y}$ co-ordinate system. Two points $\mathrm{P}$ and $\mathrm{Q}$ are situated at $(\sqrt{3}, \sqrt{3}) \mathrm{m}$ and $(\sqrt{6}, 0) \mathrm{m}$ respectively. The potential difference between the points $P$ and $Q$ will be :
JEE MAIN 2024, Diffcult
Download our app for free and get startedPlay store
Potential difference $=\frac{K Q}{r_1}-\frac{K Q}{r_2}$

$ \mathrm{r}_1=\sqrt{(\sqrt{3})^2+(\sqrt{3})^2}$

$ \mathrm{r}_2=\sqrt{(\sqrt{6})^2+0}$

As $r_1=r_2=\sqrt{6} \mathrm{~m}$

So potential difference $=0$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    In an insulated parallel-plate capacitor of capacitance $C$, the four surfaces have charges $Q_1, Q_2, Q_3$ and $Q_4$ as shown. The potential difference between the plate is
    View Solution
  • 2
    A capacitor of capacitance $C$ is charged to a potential $V$. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is $......$
    View Solution
  • 3
    Dipole having dipole moment $4\,C-m$ is placed on origin along $x-$ axis. Point charge of $8\,\mu C$ is fixed at $(4, 0, 0)$ . Now dipole is rotated by an angle of $\frac{\pi }{2}$ . Find the work done (in $mJ$ ) in rotating the dipole.......$mJ$
    View Solution
  • 4
    In a parallel plate capacitor of capacitance $C$, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be
    View Solution
  • 5
    Two identical capacitors have same capacitance $C$. One of them is charged to the potential $\mathrm{V}$ and other to the potential $2 \mathrm{~V}$. The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is :
    View Solution
  • 6
    Two uniformly charged spherical conductors $A$ and $B$ of radii $5 mm$ and $10 mm$ are separated by a distance of $2 cm$. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere $A$ and $B$ will be .
    View Solution
  • 7
    Two concentric spheres $A$ and $B$ are kept very near to each other. $A$ is negatively charged and $B$ is earthed. The true statement is

    $(A)$ Charge on $B$ is zero

    $(B)$ Potential at $B$ is zero

    $(C)$ Charge is uniformly distributed on $A$

    $(D)$ Charge is non uniformly distributed on $A$

    View Solution
  • 8
    A parallel plate capacitor has two layers of dielectric as shown in figure. This capacitor is connected across a battery. The graph which shows the variation of electric field $(E)$ and distance $(x)$ from left plate.
    View Solution
  • 9
    Polar molecules are the molecules:
    View Solution
  • 10
    Two opposite and equal charges $4 \times {10^{ - 8}}\,coulomb$ when placed $2 \times {10^{ - 2}}\,cm$ away, form a dipole. If this dipole is placed in an external electric field $4 \times {10^8}\,newton/coulomb$, the value of maximum torque and the work done in rotating it through $180^\circ $ will be
    View Solution