Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Electrostatics question

2019 · Shift 1 · Q39
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Physics
  4. /Electrostatics
  5. /2019 · Shift 1 · Q39

Electrostatics question

2019 · Shift 1 · Q39

JEE AdvancedPhysicsElectrostaticsMCQ+3 / −1
A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area α\alphaα 4 π\piπ R2(α\alphaα << 1) is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?
  1. A
    The ratio of the potential at the center of the shell of that of the point at 12{1 \over 2}21​ R from center towards the hole will be 1−α1−2α{{1 - \alpha } \over {1 - 2\alpha }}1−2α1−α​.
  2. B
    The potential at the center of the shell is reduced by 2 α\alphaα V0.
  3. C
    The magnitude of electric field at the center of the shell is reduced by αV02R{{\alpha {V_0}} \over {2R}}2RαV0​​.
  4. D
    The magnitude of electric field at a point, located on a line passing through the hole and shell's center, on a distance 2R from the center of the spherical shell will be reduced by αV02R{{\alpha {V_0}} \over {2R}}2RαV0​​.
PreviousNext

More from Electrostatics

  • A charged shell of radius R carries a total charge Q. Given ϕ as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a…2019 · Multiple correct
  • An electric dipole with dipole moment 2​p0​​(i+j​) is held fixed at the origin O in the presence of a uniform electric field of magnitude E0. If the potential is constant on a circle of radius R… Includes diagram2019 · Multiple correct
  • A particle, of mass 10−3kg and charge 1.0C, is initially at rest. At time t=0, the particle comes under the influence of an electric field E(t)=E0​sin ωti, where E0​=1.0NC−1…2018 · Numerical
  • An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ. It pierces a thin non-conducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120∘… Includes diagram2018 · Multiple correct
  • The electric field E is measured at a point P(0,0,d) generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different… Includes table2018 · MCQ
  • A point charge +Q is placed just outside an imaginary hemispherical surface of radius R as shown in the figure. Which of the following statements is/are correct? Includes diagram2017 · Multiple correct
  • Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with… Includes diagram2016 · MCQ
  • Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with… Includes diagram2016 · MCQ