Free physics question bank

electric flux and gauss law questions with solutions

Practice Electrostatic for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 56 questions

  • MCQmediumElectrostatic

    Consider the uniformly charged hemispherical shell shown. Indicate the directions (not magnitudes) of the electric field at the central point P₁ and at the off-centre point P₂ on the circular drumhead of the shell.

    2e332ca4-3bd3-4c92-86c1-fe1f007184f6-1792141251305.webp

    Options

    JEE Mains

    Open question & full solution →
  • MCQmediumElectrostatic

    The radial electric field E⃗=ar2e−rkr^\vec{E}=\frac{a}{r^2}e^{-\frac{r}{k}}\hat{r} is produced by a point charge q₀=4πε₀a at the origin plus a continuous surrounding charge distribution.The total continuous charge q spread around the origin is:

    Options

    Open question & full solution →
  • MCQmediumElectrostatic

    An infinitely long wire has uniform linear charge density λ = 2 nC/m. It passes through two maximally separated corners of a Gaussian cube of side √3 cm. Neglect edge effects. If the net electric flux is x N m² C⁻¹ and 1/(4πε₀) = 9×10⁹ SI units, then x is:

    Options

    JEE Mains 2025 8 April Evening Shift (Shift 2)

    Open question & full solution →
  • MCQmediumElectrostatic

    For the charged sphere with ρ(r)=ρ₀(1-r/R), the electric field inside is maximum at r equal to:

    Options

    Open question & full solution →
  • MCQmediumElectrostatic

    A positively charged sphere of radius r₀ carries a volume charge density ρ (Figure). A spherical cavity of radius r₀/2 is then scooped out and left empty, as shown. What is the direction and magnitude of the electric field at point B ?

    513dfed3-b6a6-48c3-83d4-e29ffb07b9b0-1792131204109.webp

    Options

    JEE Mains

    Open question & full solution →
  • MCQmediumElectrostatic

    Identify the correct statements :

    A. Electrostatic field lines form closed loops.

    B. The electric field lines point radially outward when charge is greater than zero.

    C. The Gauss-Law is valid only for inverse-square force.

    D. The workdone in moving a charged particle in a static electric field around a closed path is zero.

    E. The motion of a particle under Coulomb’s force must take place in a plane.

    Choose the correct answer from the options given below :

    Options

    JEE Mains 202628 January Evening Shift

    Open question & full solution →
  • MCQeasyElectrostatic

    An infinitely long non-conducting solid cylinder of radius R has uniform volume charge density ρ.At a point inside the cylinder at distance x<R from its axis, the electric-field magnitude is:

    Options

    Open question & full solution →
  • MCQdifficultElectrostatic

    A point charge q lies on the axis of a square non-conducting surface, very close to its centre. The electric flux through the square due to q is Φ.The square is then given uniform surface charge density σ. The magnitude of force on q due to the charged square is:

    screenshot-20268473289075092345-1788020574503.webp

    Options

    Open question & full solution →
  • MCQmediumElectrostatic

    σ is the uniform surface charge density of a thin spherical shell of radius R. The electric field at any point on the surface of the spherical shell is :

    Options

    JEE Mains 2024 06 Apr Morning Shift

    Open question & full solution →
  • MCQmediumElectrostatic

    The diagram shows a uniformly charged hemisphere of radius R. It has volume charge density ρ\rho. If the electric field at a point 2R distance above its center is E then what is the electric field at the point which is 2R below its center?

    e221ce11-1d9e-4347-911e-3a7b08594bad-1792141321120.webp

    Options

    JEE Mains

    Open question & full solution →