Electric field at a point varies as r° for

(1) An electric dipole

(2) A point charge

(3) A plane infinite sheet of charge

(4) A line charge of infinite length

Concept Questions :-

Electric field
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An electric charge is placed at the centre of a cube of side α. The electric flux on one of its faces will be 

(1) q6ε0

(2) qε0a2

(3) q4πε0a2

(4) qε0 

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Total electric flux coming out of a unit positive charge put in air is 

(1) ε0

(2) ε01

(3) (4pε0)1

(4) 4πε0 

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A cube of side l is placed in a uniform field E, where E=Ei^. The net electric flux through the cube is

(1) Zero

(2) l2E

(3) 4l2E

(4) 6l2E

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Eight dipoles of charges of magnitude e are placed inside a cube. The total electric flux coming out of the cube will be 

(1) 8eε0

(2) 16eε0

(3) eε0

(4) Zero 

Concept Questions :-

Electric dipole
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A charge q is placed at the centre of the open end of the cylindrical vessel. The flux of the electric field through the surface of the vessel is 

(1) Zero

(2) qε0

(3) q2ε0

(4) 2qε0 

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According to Gauss’ Theorem, electric field of an infinitely long straight wire is proportional to 

(1) r

(2) 1r2

(3) 1r3

(4) 1r

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Electric charge is uniformly distributed along a long straight wire of radius 1mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1m symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is 

(1) Qε0

(2) 100Qε0

(3) 10Q(πε0)

(4) 100Q(πε0)

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The S.I. unit of electric flux is 

(1) Weber

(2) Newton per coulomb

(3) Volt × metre

(4) Joule per coulomb

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q1, q2, q3 and q4 are point charges located at points as shown in the figure and S is a spherical Gaussian surface of radius R. Which of the following is true according to the Gauss’s law ?

1. s(E1+E2+E3).dA=q1+q2+q32ε0

2. s(E1+E2+E3).dA=(q1+q2+q3)ε0

3. s(E1+E2+E3).dA=(q1+q2+q3+q4)ε0

4. None of the above

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