Title 1A.ELECTROSTATICS(1-43).pdf ✅

NISHITH Multimedia India (Pvt.) Ltd., 1 ELECTROSTATICS NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED VOL - V ELECTROSTATICS LEVEL-V SINGLE ANSWER QUESTIONS CHARGE AND ITS PROPERTIES 1. The linear charge density of a thin metallic rod varies with the distance ‘x’ from one end as   2      0 x x l 0 .The total charge on the rod is A) 3 0 3  l B) 3 0 4  l C) 3 0 2 3  l D) 3 0 2  l 2. The linear charge density of a uniform semicircular wire varies with ' '  shown in the figure as 0     cos .If R is the radius of the loop, the charge on the wire is + + + + + + +++ + + + + + +  + R + + + + + +++ + + + + + +  R A) 0R B) 0 3 R C) 0 2 3  R D) 0 2 R 3. For the hemisphere of radius ‘R’ shown in the figure the surface charge density ' '  varies with ' '  (shown in figure) as 0     cos . The total charge on the sphere is + + + + + + +++ + + + + + +  + + + + + + +++ + + + + + +  A) 2 0 2 R B) 2 0 2   R C) 2 0 3   R D) 2  0 R COLOUMBS LAW & PRINCIPAL OF SUPERPOSITION 4. A charge ‘+Q’ is uniformily distributed along the circular arc of radius ‘R’ as shwon in figure. The magnitude of the force experienced by the point charge +q placed at the centre of cuvature is 0 1 4 k          + + + + + + + + + ++ R  R + + + + + + + + + ++ R  R A) 2 sin 2 kQq R   B) 2 2 sin 2 kQq R   C) 2 2 cos 2 kQq R   D) 2 2 tan 2 KQq R   5. A thin circular wire ring of radius ‘r’ has a charge ‘Q’. If a point charge ‘q’ is placed at the centre of ring then the tension in the wire will increase by A) 2 2 0 8 qQ   r B) 2 2 0 4 qQ   r C) 2 0 4 qQ  r        D) 2 2 0 2 qQ   r 6. Two metallic sphers each of mass M and radius R charged separately to Q1 and Q2 , are at a distance ‘d’ between their centres (d>2R). The force between them will be A) 1 2 2 0 1 4 Q Q   d B) 1 2 2 0 1 4 Q Q  d   C) 1 2 2 0 1 4 Q Q  d   D) zero
Jr Chemistry E/M ELECTROSTATICS 2 NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED VOL - V NISHITH Multimedia India (Pvt.) Ltd., 7. A positive point charge +Q is fixed in space. A negative point charge -q of mass m re- volves around fixed charge in elliptical or- bit. The fixed charge +Q is at one focus of the ellipse.The only force acting on nega- tive charge is the electrostatic force due to positive charge.Then which of the following statement is true. A) Linear momentum of negative point charge is conserved. B) Angular momentum of negative point charge about fixed positive charge is conserved. C) Total kinetic energy of negative point charge is conserved. D) Electrostatic potential energy of system of both point charges is conserved. 8. Find the force experienced by the semicircular rod charged with a charge q, placed as shown in figure. Radius of the wire is R and the line of charge with linear charge density l is passing through its centre and perpendicular to the plane of wire. (A) 2 R q 0 2    (B) R q 0 2    (C) 4 R q 0 2    (D) 4 R q 0   ELECTRIC FIELD AND LINES OF FORCE 9. Two identical point charges are placed at a separation of l. P is a point on the line joining the charges, at a distance x from any one charge. The field at P is E. E is plotted against x for values of x from close to zero to slightly less than l. Which of the following best represents the resulting curve? (A) (B) (C) (D) 10. Two infinitely large charged planes having uniform surface charge density +  and –  are placed along x-y plane and yz plane respectively as shown in the figure. Then the nature of electric lines of forces in x-z plane is given by : z – + X (A) Z X (B) Z X (C) Z X (D) Z X