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Gauss's Law — JEE Main & Advanced Physics PYQs

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

47 questionsPhysicsSolutions on every page
1

In a certain region, the electric field is expressed as E = 3 5 E₀ i + 4 5 E₀ j , where E₀ = 2.0 10^3 N C ⁻¹ . Determine the flux of this field through a rectangular surface having

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The electric field in a certain region is defined by E = E₀ x l i . Determine the charge enclosed within a cubical volume defined by the planes x = 0 , x = a , y = 0 , y = a , z =

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

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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 sq

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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 minim

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

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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 di

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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 cha

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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 from t

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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 strength of

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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 strength of

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A charge Q is uniformly distributed throughout the material of a hollow sphere with inner and outer radii r₁ and r₂ , as shown in the figure. Determine the electric field at a poin

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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 surfa

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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 a

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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 a

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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 .

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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 electrostati

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

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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 th

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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 attractio

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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

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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 mass

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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 mass

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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 plate

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

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

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

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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

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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

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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

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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

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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 g

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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 q₁ is placed outside it, as shown in the figur

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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 plat

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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

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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

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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 s

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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 q₁ is placed outside it as shown in the figure.

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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

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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 41

Identify the correct statement:

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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.

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

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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

Concepts Of Physics MCQ Edition [Volume 2] Solution View → 45

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) o

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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 surfa

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

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