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NCERT Exemplar MCQs, ., , 5., , whose total sum is not zero are approximately, , A capacitor of 4 uF is connected as shown in the circuit., , The internal resistance of the battery is 0.52. The amount, of charge on the capacitor plates will be, 4 uF, , Equipotentials at a great distance from a collection ofcharges, , (a) spheres, , (b) planes, (d) ellipsoids, , C) paraboloids, 6., , A parallel plate capacitor is made of two dielectric blocks in, , dielectric, d, diclectric, K, constant K, as shown in figure. This arrangement can be, series. One of the blocks has thickness d, and, and, and the other has thickness, constant, , 102, , w, , thought as a, , dielectric slab of thickness d, effective dielectric constant K. The K is, , 2.5 V, , (d,, , d,) and, , +, , d,, , ww, 22, , (b) 4 uC ( ), , (a) 0uC, , 16 uC, , (d) 8uC, , A positively charged particle is released from rest in an uniform, , 2., , (a), , electric field. The electric potential energy ofthe charge, constant because, , field, (d) decreases because the, , charge, , moves, , opposite, , to the, , (a) The work done in Fig. (i) is the greatest, (b) The work done in Fig. (i) is least, (c) The work done is the same in Fig. (i), Fig.(i) and Fig. (ii), The work done in Fig. (iii) is greater than Fig. (ii) but, , Past Year MCQs, 7., , AIPMT 2014, C], , situated at point (1, 1, 1) is:, 8., , (a) 6V5 N (b) 30N, (d) 4/35N, (c) 24N, What is the effective capacitance between points X and Y?, AIIMS 2014,AI, C6uF, , equal to that in, , 30V, , 40V, , In a region, the potential is represented by V(x, y, z), 6x -8xy-8y +6yz, where V is in volts and x, y, z are in, metres. The electric force experienced by a charge of 2 coulomb, , (d), , 20V, , 2K,K, K +K,, , (d), , C)K.d, +K,d,), , clectric field, Figure shows some equipotential lines distributed in space., A charged object is moved from point A to point B., , 3, , d +d, K,K (d, + d,), , the electric field is uniform, (a) remains, (b) increases because the charge moves along the electric field, (c) decreases because the charge moves along the electric, a, , b) K,d, +K,d,, K, +K, , K,d, +K,d, , (a), , 24uF, , (b), , 18uF, , (c), , 12 uF, , Xe, , F, , G=20uFC6uF, , C6uF, , H, , (d) 6uF, 9., , Assume that an electric field E =30xi, , exists in space., where o, differenoe, Then, potential at the origin and V, the potential at x 2 m is:, , the potentia, , Vo, , =, , is the, , JEE Main 2014, C], 10V 20V 3OV 40V 50V, , 10V 30OV, , 20V, , 10., , any point, , the electrostatic, , sphere,, any point inside, the, following is, of, Which, 100V., is, potential, Statement?, , Zero., , (a), , S,, , the, , at, , a, , correct, , 120 J/C, , (b)-120 J/C (c), , TAIPMT 2015, C, , ihe electrostatic potential on the surface of a charged, are made in this, conducting sphere is 100V. Two statements, electric, intensity is, the, inside, sphere,, at, , regard S,, , (d) 80J/C, Ifpotential (in volts) in a region is expressed as V(x, y, z)= 6, xy-y+2yz, the electric field (in N/C) at point (1, 1, 0) is:, , (a), , 40V 50V, , Fig. (ii), , Fig.(i), , Fig. (), , 4., , 10V, , 30V, , (a)-(61+5j+2k), (c)-(61+9j+ k), 11., , Sis, Inen, , true., , dant, , S,, , the statements, , (d) -(3i + 5j+ 3k), , of 25 m F are connected as, shown in fig. The dc voltmeter reads 200 V. The charge, , on each plate of capacitor is, , is thecause of S,, , is also true but, , (b)-(2i+3j+k), , The four capacitors, each, , S, is true but S, is false, , h)Both S, and S, arefalse, and S,, C)Sis true, S, is also true, , are, , 80 JIC, , H, , JAIIMS 2015, A]

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(a), , +2x10C, , (c), 12., , A, , potential at the origin due, , 10 C, , d), , the equipotential surfaces with potentialsSo o, 2, , (a), , 4, , (a), , 3, 4, , (d), , (c) infinity, , 13., , 4TtE0X0, , 17., , A parallel plate capacitor ofarea 'A' plate separation, , d is, , filled with two dielectrics as shoWn. What is the capaci, , R=0 and R, < (R,- R), , JEE Main 2015, S], , BITSAT 2016, C), , of the arrangement?., A/2, , A/2, , R =0 and R,> (R,-R,), R #0 and (R,- R,)> (R,-R), , At the, , q loge 2, , 4, , have radius R, R, R, and R, respectively. Then, , 2016,C), , ()8EOxg loge 2, , zero, , (b) 2R> R,, , (c), (d), , rges wll be, , AlIMS:, , V(measured with respect to o) on its surface. For this sphere, , and, , system of chars, , (b)+5x10- C, , 5x10c, uniformly charged solid sphere of radius R has potentia, 2x, , to above, , corners, , of an, , www.ww, , K, , equilateral triangle of side a (1 metre),, , three point charges are placed (each of0.1 C). Ifthis system, is supplied energy at the rate of l kw, then calculate the, time required to move one of the mid-point, of the linejoining, the other two., , [BITSAT 2015, C], , (a), (c), , a, , 18., , 3KEA, 4d, , (K+1)e,4, 2d, , (b), , 4KEA, , (d), , K(K+3),A, , 3d, , 2(K +1)d, , The diagrams below show regions of equipotentials., , NEET 2017,C], D, , 20V, , 20V, , 40V, , 40V, , B, (a), , 14., , 50 h, , 1), , (b) 60 h, (c) 48 h, (d) 54h, of, is, as, shown, in, the diagram., capacitor 2uF charged, When the switch S is turned to position 2, the percentage of, its stored energy dissipated is, [NEET 2016, C], , B, , A, , 10 V, , B, , ii), 10V, , 30V, , 30V, , 2, , (a) 0%, , 3QV, , 40V, , b) 20%, , 20V, , (c)75%, , -, , 8uF, , 2uF, , (d) 80%, 15., , 20V, , combination of capacitors is set up as shown in the figure., The magnitude ofthe electric field, due to a point charge Q, , A, , would equal:, (a), , 420N/C, , a), , F, , 19., b) 480N/C, 2F, , (C) 240 NC, (d), , A, , 360N/C, , charge tq, , 8V, , is fixed at each, , x5Xq . . upto o, , of the points, , x, , =, , Xg, X=3xo, , ., , upto oo. Here x, , is a, , positive constant. Take the potential at a point due to a, , charge Q at, , a, , distancer from, , itto, , be, , 4TEr, , Then the, , 10V, 30V, , In all the four cases the work done is the same, , (C)Maximum work is required to move q in figure, (d) Maximum work is required to move q in, figureu oved, A capacitor is, charged by a battery. The battery 1S rcin, and another identical, uncharged capacitor is connecc, parallel. The total electrostatic energy of resulting Sy, INEET 2017, C, (a) decreases by a factor off2, , (b), (c), (d), , on Ä-axis and charge-q is fixed on each, , o f t h e points x = 2xg,X=4X0»X 6 X o, , 40v, , 6) Minimum work is required to move q in figure, , NEET 2016, S], , 3 uF, 4, , (iv), , Apositive charge is moved from A to B in each diagram., , (having a charge equal to the sum of the charges on the 4, u F and 9 uF capacitors), at a point distance 30 m from it,, , 16., , B, , 20., , remains the same, , increases by a factor of 2, , increases by a factor of4, Two spherical, conductors Aand B of radii a, , and, , D, , placed concentrically in air. The two are connected, , copper wire, , alernt, , as, , shown in figure. ThenTAIIMS, the eeu7, 2017, C7, C, , capacitance of the system is

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(a), , ATCE 0a, , ab, , ab, D, , A, , (C), , infinite, , (d), , are different quantities., , (c), , Reason: For a system of positive test charge and point, electric potential energy= electric potential., , root of the, (d) proportional to the square, , (), , 00O00, , 25., , 47TEb, , 4TE a, Assertion: Electric potential and electric potential energy, , charge, (a), , Assertion 1s correct, reason is correct;, correct explanation for assertion., , (a), (b), , is, , correct, reason is, , correct;, , reason, , reason, , is, , is not, , a, , (c) Assertion, , is correct,, , reason, , the plates, 26., , Reason: For a, , is incorrect, , can, , withstand, , net, , a, , non-uniformly charged thin circular ring, on, , axis, , non-uniformly charged thin circular ring, , with, , charge zero, the electrie potential, , point axis, [AIIMS 2018, C, , at each, , ofthe ring is zero., , (a), (b), , Assertion is correct,, correct, , (c), (d), 27., , is correct, reason is correct;, explanation for assertion., , Assertion, correct, , potential, , differen ce of not more than 300 V. The minimum number of, capacitors required to achieve this is [JEE Main 2017, A], (d) 16, (a) 24, (c) 2, (6) 32, inside, A long, hollow conducting cylinder is kept coaxially, another long, hollow conducting cylinder oflarger radius., Both the cylinders are initially electrically neutral, , a, , of the ring is zero., , a, , a potential difference of 1.0 kV. A large number of 1uF, available which, , Assertion: For, , reason, , is correct;, , 6) Apotential, when, , (c), , d), , a, , difference appears between two, , charge density is given, , to the outer, , Assertion is correct,, , reason, , Assertion is incorrect,, , is, , correct., , JEE Main 2018, S], , (a), , between the two, , 28., , between the two, , -TC, , a, , (b), , BITSAT 2017, C, , (d), , b-Ca, Eo, connected, , Aparallel plate capacitor of capacitance 90 pF is, dielectric, to a battery of emf20V. Ifa dielectrie material of, 5, , to both, , are connected by, Two conducting shells of radius a and b, The, capacity ofsystem, conducting wire as shown in figure., , is, , Ga-b+c, L, , (c), , constantk=is inserted between the plates, the magnitude, , the cylinders., , 24., , a, , cylinders, , potential difference appears, is, cylinders when same charge density given, No, , is not, , a, , is incorrect, , reason, , cylinder., , potential difference appears, is, along the, cylinders when a uniform line charge kept, axis of the cylinders., , No, , reason, , is, , radii, Three concentric metal shells A, B and C of respective, +o, densities, have surface charge, a, b and c (a<b<c), The potential of shell B is:, and +o, , the two, , cylinder., , reason, , respectively., , potential difference appears between, to the inner, cylinders when a charge density is given, , A, , on, , explanation for assertion, , [BITSAT 2017, C, (a), , distance between, , with net charge is zero, the electric field at any point, , (d) Assertion is incorrect, reason is correct., in an electrical circuit across, 22. A capacitance of 2uF is required, are, , distance between the plates, distance between the, , linearly proportional to the, inversely proportional to the, , plates, , correct explanation for assertion, , capacitors, , the metal, The electrostatic force between, , AIIMS 2017, CI, , (b) Assertion, , 23., , (d), , zero, , plates of an, and, C having a charge Q, isolated parallel plate capacitor, INEET 2018, C], area A, is, betwecn the plates, independent of the distance, , (b) 4TEo(a +b), , 21., , (b) 4 TtE, (atb), , (a) 47To h-a, , ofthe induced charge will be:, (a) 1.2nC (b) 0.3 n C (c), , 29., , JEE Main 2018, A], 2.4nC (d) 0.9 n C, , Electric potential at any pointis V=-sx 3y+ V15z.then, +, , the magnitude ofthe electric field is, , (a), , 32, , (b) 4/2, , (), , 52, , [BITSAT 2018, C], , (d), , 7