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JEE Gauss's Law PYQs with Solutions

47 previous year questions from Gauss's Law (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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About Gauss's Law PYQs

Gauss's Law has 47 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 47 questions in this list come from Concepts Of Physics MCQ Edition [Volume 2] (47). Each question opens on its own page with the options, the correct answer and the worked solution where available.

JEE Gauss's Law PYQs with Solutions

About Gauss's Law PYQs

Gauss's Law questions with solutions

In a certain region, the electric field is expressed as E = (3)/(5) E_0 i + (4)/(5) E_0 j , where E_0 = 2.0 × 10^3 N C^ -1 . Determine the flux of this field through a rectangular

The electric field in a certain region is defined by E = (E_0 x)/(l) i . Determine the charge enclosed within a cubical volume defined by the planes x = 0 , x = a , y = 0 , y = a

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

A charge Q is situated at a distance a/2 above the centre of a horizontal square surface of edge a , as shown in the figure. Calculate the flux of the electric field through the

A charge Q is distributed uniformly over a rod of length l . A hypothetical cube of edge l is positioned such that its centre coincides with one end of the rod. Determine the

Determine the net charge in a region in which the electric field is uniform at all points.

Determine the flux of the electric field through a spherical surface of radius R caused by a charge of 10^ -7 C located at its centre and a second identical charge positioned at a

A charge Q is situated at the centre of an imaginary hemispherical surface. By applying symmetry arguments and Gauss's law, determine the flux of the electric field due to this

A spherical volume has a uniformly distributed charge of density 2.0 × 10^ -4 C m^ -3 . Determine the electric field at a point located inside the volume, at a distance of 4.0 cm

A gold nucleus ( Z = 79 ) has a radius of approximately 7.0 × 10^ -15 m . Assuming its positive charge is uniformly distributed throughout the nuclear volume, determine the

A gold nucleus ( Z = 79 ) has a radius of approximately 7.0 × 10^ -15 m . Assuming its positive charge is uniformly distributed throughout the nuclear volume, determine the

A charge Q is uniformly distributed throughout the material of a hollow sphere with inner and outer radii r_1 and r_2 , as shown in the figure. Determine the electric field at a

A charge Q is located at the centre of an initially uncharged, hollow metallic sphere of radius a . Determine the surface charge density on the inner surface and on the outer

Consider a very rough model of a beryllium atom. The nucleus consists of four protons and four neutrons, confined to a small volume of radius 10^ -15 m . The two 1s electrons form

Consider a very rough model of a beryllium atom. The nucleus consists of four protons and four neutrons, confined to a small volume of radius 10^ -15 m . The two 1s electrons form

Determine the magnitude of the electric field at a point located 4 cm away from a line charge with a density of 2 × 10^ -6 C m^ -1 .

A long cylindrical wire possesses a positive charge with a linear density of 2.0 × 10^ -8 C m^ -1 . An electron orbits the wire in a circular path, driven by the attractive

A uniformly distributed charge of density ρ is contained within a long cylindrical volume. Determine the electric field at a point P located inside the cylindrical volume at a

A nonconducting sheet with a large surface area and a thickness d contains a uniform charge distribution of density ho . Determine the electric field at a point P located inside

A charged particle with a charge of -2.0 × 10^ -6 C is positioned close to a nonconducting plate that has a surface charge density of 4.0 × 10^ -6 C m^ -2 . Determine the force of

A silk thread 10 cm in length has one end attached to the large vertical surface of a charged nonconducting plate. The thread's other end is tied to a small ball with a mass of 10

One end of a silk thread of length 10 cm is attached to the large vertical surface of a charged nonconducting plate. The thread's opposite end is tied to a small ball having a

One end of a silk thread of length 10 cm is attached to the large vertical surface of a charged nonconducting plate. The thread's opposite end is tied to a small ball having a

Separated by a distance of 2.00 cm , two large conducting plates are positioned parallel to one another. An electron released from rest near one plate travels to the opposite

As shown in the figure, two large conducting plates are positioned parallel to each other and carry equal and opposite charges with surface density σ . Determine the electric

Two large conducting plates are placed parallel to each other and carry equal and opposite charges with surface density σ . Find the electric field in between the plates.

Two large conducting plates are positioned parallel to each other and carry equal and opposite charges with surface density σ . Calculate the electric field to the right of the

Two conducting plates X and Y , each having a large surface area A (on one side), are positioned parallel to one another. A charge Q is imparted to plate X , while the other plate

Two conducting plates X and Y , each having a large surface area A (on one side), are positioned parallel to one another. A charge Q is imparted to plate X , while the other plate

Two conducting plates X and Y , each having a large surface area A (on one side), are positioned parallel to one another. A charge Q is imparted to plate X , while the other plate

Two conducting plates X and Y , each having a large surface area A (on one side), are positioned parallel to one another. A charge Q is imparted to plate X , while the other plate

As shown in the figure, three identical metal plates having large surface areas are positioned parallel to one another. A charge Q is given to the leftmost plate, a charge -2Q is

A thin, metallic spherical shell carries a charge Q . A point charge q is located at the centre of the shell and an additional charge q_1 is placed outside it, as shown in the

Suppose a charge Q is uniformly distributed over a large plastic plate, producing an electric field of 10 V m^ -1 at a point P close to the centre of the plate. If this plastic

When a metallic particle with zero net charge is positioned close to a finite metal plate carrying a positive charge, the electric force acting on the particle will be

As shown in the figure, a charge q is positioned at the centre of the open end of a cylindrical vessel. The electric flux passing through the surface of the vessel is

Electric charges occupy a small volume. The electric flux through a spherical surface of radius 10 cm enclosing the entire charge is 25 V m . Determine the flux over a concentric

A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q_1 is placed outside it as shown in the

A charge q is situated at the centre of the open end of a cylindrical vessel, as shown in the figure. The electric flux through the surface of the vessel is

A positive point charge Q is placed close to an isolated metal cube.

Identify the correct statement:

A large nonconducting sheet M carries a uniform charge density. Two small, uncharged metal rods A and B are positioned near the sheet, as shown in the figure.

When the flux of the electric field through a closed surface is zero,

A closed surface S is set up around a conducting wire that is connected to a battery and a switch, as shown in the figure. When the switch is closed, the free electrons within the

As depicted in the figure, a charge q is situated at the centre of a hemisphere. A second charge Q is positioned at one of the locations A , B , C , and D . For which location(s)

A closed surface intersecting a conducting sphere is depicted in the figure. If a positive charge is positioned at point P , the flux of the electric field through the closed

An electric dipole is positioned at the centre of a sphere. Choose the correct statements:

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