Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Gauss's Law

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Gauss's Law

A charge Q is situated at the centre of a cube. Determine the...

A charge QQ is situated at the centre of a cube. Determine the electric field flux through the six surfaces of the cube.

Options

  1. AQ/ε0Q/\varepsilon_0
  2. BQ/2ε0Q/2\varepsilon_0
  3. C6Q/ε06Q/\varepsilon_0
  4. DQ/6ε0Q/6\varepsilon_0

Correct answer

A. Q/ε0Q/\varepsilon_0

Step-by-step solution

According to Gauss's law, the total electric flux through any closed surface is equal to the net charge enclosed by the surface divided by ε0\varepsilon_0.

The six surfaces of the cube together form a closed Gaussian surface that completely encloses the charge QQ placed at its centre.

Therefore, the total electric flux through all the six surfaces of the cube is Φ=Qε0\Phi = \dfrac{Q}{\varepsilon_0}.
Practice Gauss's Law on Quantrex Academy →

More from Gauss's Law

In a certain region, the electric field is expressed as E = (3)/(5) E_0 i + (4)/(5) E_0 j… Concepts Of Physics MCQ Edition [Volume 2]The electric field in a certain region is defined by E = (E_0 x)/(l) i . Determine the… Concepts Of Physics MCQ Edition [Volume 2]A charge Q is situated at a distance a/2 above the centre of a horizontal square surface… Concepts Of Physics MCQ Edition [Volume 2]A charge Q is distributed uniformly over a rod of length l . A hypothetical cube of edge… Concepts Of Physics MCQ Edition [Volume 2]Determine the net charge in a region in which the electric field is uniform at all points. Concepts Of Physics MCQ Edition [Volume 2]Determine the flux of the electric field through a spherical surface of radius R caused… Concepts Of Physics MCQ Edition [Volume 2]A charge Q is situated at the centre of an imaginary hemispherical surface. By applying… Concepts Of Physics MCQ Edition [Volume 2]A spherical volume has a uniformly distributed charge of density 2.0 × 10^ -4 C m^ -3 .… Concepts Of Physics MCQ Edition [Volume 2] Full Gauss's Law list All Concepts Of Physics MCQ Edition [Volume 2] PYQs