Marking Scheme: +1 for correct answers, 0 for incorrect answers, 0 for unattempted questions. Option deselection is not available.
– Prepared by K.V.Harikrishna, MSc, BEd.
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Question 1 of 25
1. Question
1 point(s)A charge $$\mathbf{Q}$$ is uniformly distributed over a rod of length $$l$$. Consider a hypothetical cube of edge $$l$$ with the centre of the cube at one end of the rod. Find the minimum possible flux of the electric field through the entire surface of the cube.
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Question 2 of 25
2. Question
1 point(s)A charge $$\mathbf{Q}$$ is placed at the centre of a cube. Find the flux of the electric field through the six surfaces of the cube.
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Question 3 of 25
3. Question
1 point(s)A charge $$\mathbf{Q}$$ is placed at a distance $$\mathbf{a} / \mathbf{2}$$ above the centre of a horizontal, square surface of edge ‘ $$a$$ ‘ as shown in figure. Find the flux of the electric field through the square surface
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Question 4 of 25
4. Question
1 point(s)Find the flux of the electric field through a spherical surface of radius $$R$$ due to a charge of $$10^{-7} \mathrm{C}$$ at the centre and another equal charge at a point 2 R away from the centre as shown in figure.
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Question 5 of 25
5. Question
1 point(s)A charge $$q$$ is placed at the centre of an imaginary hemispherical surface. Using symmetry arguments and the Gauss’s law, find the flux of the electric field due to this charge through the surface of the hemisphere as shown in figure.
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Question 6 of 25
6. Question
1 point(s)An electric dipole is placed at the centre of a sphere. Find the electric flux passing through the sphere.
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Question 7 of 25
7. Question
1 point(s)The electric field in a region is given by $$\overrightarrow{\mathrm{E}}=\alpha x \hat{\mathbf{i}}$$. Here $$\alpha$$ is a constant of proper dimensions. Find the total flux passing through a cube bounded by the surfaces, $$x$$ $$=l, \mathrm{x}=2 l, \mathrm{y}=0, \mathrm{y}=l, \mathrm{z}=0, \mathrm{z}=l$$
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Question 8 of 25
8. Question
1 point(s)The electric field in a region is given by $$\overrightarrow{\mathrm{E}}=\alpha x \hat{\mathbf{i}}$$. Here $$\alpha$$ is a constant of proper dimensions. As flux is passing through a cube bounded by the surfaces, $$x$$ $$=l, \mathrm{x}=2 l, \mathrm{y}=0, \mathrm{y}=l, \mathrm{z}=0, \mathrm{z}=l$$. Find the charge contained inside the above cube.
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Question 9 of 25
9. Question
1 point(s)What is the field in the cavity, if a conductor having a cavity is charged?
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Question 10 of 25
10. Question
1 point(s)If a conductor with a cavity is charged and there is a field inside the cavity, does the outcome depend on the shape and size of the cavity or the conductor?
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Question 11 of 25
11. Question
1 point(s)In a cathode ray oscilloscope, an electron accelerated through 25 kV enters a deflecting plate system as shown in figure.
The magnitude of deflecting field is $$20 \mathrm{kVm}^{-1}$$. The length of the plate is $$\mathbf{0 . 0 5 m}$$ and the screen is 0.18 m away from the nearer end of the plate. At what point does the electron hit the fluorescent screen?CorrectIncorrect -
Question 12 of 25
12. Question
1 point(s)A charged particle of mass $$=\mathbf{m} 1 \mathbf{k g}$$ and charge $$\mathrm{q}=2 \mu \mathrm{C}$$ is thrown from a horizontal ground at an angle $$\theta=45^{\circ}$$ with speed $$20 \mathrm{~m} / \mathbf{s}$$. In space a horizontal electric field $$\mathrm{E}=2 \times 10^{7} \mathrm{~V} / \mathrm{m}$$ exist. Find the range on horizontal ground of the projectile thrown.
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Question 13 of 25
13. Question
1 point(s)A uniform electric field $$E$$ is created between two parallel, charged plates as shown in figure.
An electron enters the field symmetrically between the plates with a speed $$\mathrm{v}_{0}$$. The length of each plate is $$l$$. Find the angle of deviation of the path of the electron as it comes out of the field.CorrectIncorrect -
Question 14 of 25
14. Question
1 point(s)A particle of mass $$m$$ and charge $$q$$ is thrown at a speed $$u$$ against a uniform electric field $$E$$. How much distance will it travel before coming to momentary rest?
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Question 15 of 25
15. Question
1 point(s)A circular wire – loop of radius a carries a total charge $$Q$$ distributed uniformly over its length. A small length dL of the wire is cut off. Find the electric field at the centre due to the remaining wire.
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Question 16 of 25
16. Question
1 point(s)A square frame of edge 10 cm is placed with its positive normal making an angle of $$60^{\circ}$$ with a uniform electric field of $$20 \mathrm{~V} / \mathrm{m}$$. Find the flux of the electric field through the surface bounded by the frame.
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Question 17 of 25
17. Question
1 point(s)A charge $$q$$ is placed at the centre of a sphere. Taking outward normal as positive, find the flux of the electric field through the surface of the sphere due to the enclosed charge.
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Question 18 of 25
18. Question
1 point(s)A uniform electric field exists in space. Find the flux of this field through a cylindrical surface with the axis parallel to the field. ( $$q=$$ charge )
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Question 19 of 25
19. Question
1 point(s)A charge $$\mathbf{Q}$$ is distributed uniformly on a ring of radius $$r$$. A sphere of equal radius $$r$$ is constructed with its center at the periphery of the ring (figure).Find the flux of the electric field through the surface of the sphere.
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Question 20 of 25
20. Question
1 point(s)If a point charge $$q$$ is placed at the center of a cube what is the flux linked with the cube?
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Question 21 of 25
21. Question
1 point(s)If a point charge $$q$$ is placed at the center of a cube with its flux linked with the cube. what is the flux linked with each face of the cube?
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Question 22 of 25
22. Question
1 point(s)If a point charge $$q$$ is placed at one corner of a cube, what is the flux linked with the cube?
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Question 23 of 25
23. Question
1 point(s)A hemispherical body is placed in a uniform electric field $$E$$. What is the flux linked with the curved surface, if field is parallel to base figure (A)?
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Question 24 of 25
24. Question
1 point(s)With reference to question =>
A hemispherical body is placed in a uniform electric field $$E$$. What is the flux linked with the curved surface, if field is parallel to base figure (A)?
What is the flux linked with the curved surface, if field is perpendicular to base figure $$B$$ ?.
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Question 25 of 25
25. Question
1 point(s)A point charge $$q$$ is placed at one corner of a cube of edge $$A$$. What is the flux through each of the cube faces?
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