A particle of charge $q$ and mass $m$ is subjected to an electric field $E = E _{0}\left(1- ax ^{2}\right)$ in the $x-$direction, where $a$ and $E _{0}$ are constants. Initially the particle was at rest at $x=0 .$ Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is
  • A$\sqrt{\frac{2}{a}}$
  • B$\sqrt{\frac{1}{a}}$
  • C$a$
  • D$\sqrt{\frac{3}{a}}$
JEE MAIN 2020, Diffcult
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
    Five similar condenser plates, each of area $A$, are placed at equal distance apart and are  connected to a source of $e.m.f.$ $V$ as shown in the following diagram. The charge on the  plates $1$ and $4$ will be:-
    View Solution
  • 2
    In the adjoining figure, capacitor $(1)$ and $(2)$ have a capacitance $‘C’$ each. When the dielectric of dielectric consatnt $K$ is inserted between the plates of one of the capacitor, the total charge flowing through battery is
    View Solution
  • 3
    A parallel plate air capacitor has capacity $C,$ distance of separation between plates is $d$ and potential difference $V$ is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is
    View Solution
  • 4
    In a uniform electric field, a cube of side $1\ cm$ is placed. The total energy stored in the cube is $8.85\ μJ$ . The electric field is parallel to four of the faces of the cube. The electric flux through any one of the remaining two faces is
    View Solution
  • 5
    A metallic sphere has a charge of $10\,\mu C$. A unit negative charge is brought from $A$ to $B$ both $100\,cm$ away from the sphere but $A$ being east of it while $B$ being on west. The net work done is........$joule$
    View Solution
  • 6
    A parallel plate capacitor has potential $20\,kV$ and capacitance $2\times10^{-4}\,\mu F$. If area of plate is $0.01\,m^2$ and distance between the plates is $2\,mm$ then find dielectric constant of medium
    View Solution
  • 7
    How much work is required to carry a $6$ $\mu C$ charge from the negative terminal to the positive terminal of a $9\, V$ battery
    View Solution
  • 8
    A thin conducting spherical shell (center at $O$ ) having charge $Q_0$ , radius $R$ and three point charges $Q_0$ , $-2Q_0$ , $3Q_0$ are also kept at point $A$ , $B$ and $C$ respectively as shown. Find the potential at any point on the conducting shell. (Potential at infinity is assumed to be zero)
    View Solution
  • 9
    Effective capacitance between $A$ and $B$ in the figure shown is (all capacitance are in $\mu F$)
    View Solution
  • 10
    A parallel plate capacitor has a uniform electric field $E$ in the space between the plates. If the distance between the plates is $d$ and area of each plate is $A,$ the energy stored in the capacitor is 
    View Solution