Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main201912 Apr 2019Morning ShiftPhysicsElectrostaticsActual

Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b , and carries charge Q . At its centre a dipole p → is placed as shown then:

Options

  1. ASurface charge density on the inner surface of the shell is zero everywhere.
  2. BElectric field outside the shell is the same as that of a point charge at the centre of the shell.
  3. CSurface charge density on the inner surface is uniform and equal to ( Q 2 ) 4 π a 2 .
  4. DSurface charge density on the outer surface depends on p → .

Correct answer

B. Electric field outside the shell is the same as that of a point charge at the centre of the shell.

Step-by-step solution

Net charge on dipole is zero, so it will not affect the charge distribution and electric field on the outside but the charge distribution inside the shell will disturbed.

Practice Electrostatics on Quantrex Academy →

More from Electrostatics

Two charges Q₁ = q and Q₂ = mq are placed at the points P₁(a, b) and P₂(ma, mb) , respectively, in the XY plane, where a, b 0 and m 0, 1 . If V₁ is the potential at a point in the 2026Consider an electric dipole comprising two charges +q and -q each with mass m , separated by a fixed distance d and initially at rest with its dipole moment pointing along i . A un 2026Two point charges q₁=3 , C and q₂=-4 , C are placed at points (2 i +3 j +3 k ) and ( i + j + k ) respectively. Force on charge q₂ is ________ N. ( Take 1 4 ₀ = 9 10^9 SI Units ) 2026The electric potential as a function of x, y is given by V = 5(x^2 - y^2) V. The electric field at a point (2, 3) m is __________ V/m. 2026A thin half ring of radius 35 cm is uniformly charged with a total charge of Q coulomb. If the magnitude of the electric field at centre of the half ring is 100 V/m, then the value 2026A three coulomb charge moves from the point (0, -2, -5) to the point (5, 1, 2) in an electric field expressed as E = 2x i + 3y^2 j + 4 k N/C. The work done in moving the charge is 2026A particle of charge q and mass m is projected from origin with an initial velocity v = ( v₀ 2 x + v₀ 2 y ) . There exists a uniform magnetic field B = B₀ z and a space varying ele 2026A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field E ₁=E₀ x . If another electric field E ₂=2E₀( y + z ) is introduced to the s 2026 Full Electrostatics list All JEE Main PYQs