A point charge q is placed over a horizontal square of side L at a normal distance of L/4 from its centre. Electric flux through the square is 

1. ϕ=q6ε0

2. ϕ<q6ε0

3. q6ε0<ϕ<qε0

4. ϕ>q6ε0

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A solid conducting sphere of radius a has a net positive charge 2Q. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge –Q. The surface charge density on the inner and outer surfaces of the spherical shell will be 

(1) 2Q4πb2,Q4πc2

(2) Q4πb2,Q4πc2

(3) 0,Q4πc2

(4) None of the above

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A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by 

(1) 2πR2E

(2) πR2/E

(3) (πR2πR)/E 

(4) Zero

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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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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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