ELECTRIC FIELD and GAUSS THEOREM

Q-1 A charge Q is placed at the corner of a cube. The electric flux through all the six faces of the cube is
(a) Q /ε
(b) Q / 6ε
(c) (c) Q / 8ε
(d) Q / 3ε
2 A conducting sphere of radius R= 20 cm is given a charge Q=16 µC. What is E at its centre ?
(a) 3.6 × 10^6N/C
1.8 × 10^6 N/C
Zero
0.9 × 10^6 N /C
3 Each of two point charges are doubled and their distance is halved.Force of interaction becomes n times , where n is
4
1
18
16
A charge q is placed at the centre of the line joining two exactly equal positive charges Q. The system of three charges will be in equilibrium , if q is equal to
(a) –Q /4
Q
(b) –Q
Q /2
Q-5 Static electricity is produced due to
(a) Friction
conduction
(b) Induction
both A and C
Gauss’s theorem:
(a) Does not hold,if the closed surface encloses a discrete distribution of charges
(b) Doesnot hold, if the closed surface encloses a line ,a surface or a volume charge distribution
(c) Holds, if the surface encloses a point charge only
(d) Holds,irrespective of the form in which charges are enclosed by the closed surface
A charge q is divide into two parts i.e q/ and q-q/. If the two parts exert a maximum force of repulsion on each other, then the ratio q/ / q is given by
(a) 1:2
2:1
1:4
4:1
A charge q1 exerts some force on a second charge q2. A third charge q3 is brought near. Then ,force exerted by q1 on q2 will
(a) Decrease in magnitude
(b) Increase in magnitude
(c) Remain unchanged
(d) Increase, if q2 is of the same sign as q1 and will decrease, if q2 is of opposite sign.
9 Electric field varies as r^-3 due to
(a) A point charge
(b) An infinite line charge
(c) An electric dipole
(d) An infinite plane sheet of charge
A charge q is placed at the edge centre of a cube of side a. The electric flux through the cube is
(a) q/ε
q/3ε
(b) q/4ε
q/8ε
0
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