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17. Five identical plates of equal area A are placedparallel to and at equal distance d from each other asshown in figure. The effective capacity of the systembetween the terminals A and B is -(A) 53(C) 35∈ o∈ oAdAd(B) 45(D) 54∈ o∈ oBAAdA18. Read the following statements carefully :Y : The resistivity of semiconductor decreases withincrease of temperature.Z : In a conducting solid, the rate of collisionbetween free electrons and ions increases withincrease of temperature.(A) Both Y and Z are true and Z is correctexplaination of Y(B) Both Y and Z are true but Z is not correctexplaination of Y(C) Y is true but Z is false(D) Y is false but Z is true19. A 1m long metallic wire is broken into two unequalparts A and B. The part A is uniformly extended intoanother wire C. The length of C is twice the length ofA and resistance of C is equal to that of B. The ratioof resistances of parts A and C is -(A) 4 (B) 41(C) 2 (D) 2120. A 600 cm long potentiometer wire is connected to acircuit as shown in figure. The resistance ofpotentiometer wire is 15r. The distance from pointA at which the jockey should touch the wire to getzero deflection in the galvanometer is –AE/2(A) 320 cm(C) 160 cmrEGJrdB(B) 230 cm(D) 460 cm21. A rectangular loop of metallic wire is of length a andbreadth b and carries a current i. The magnetic fieldat the centre of the loop is -(A)µ 0 i4π8µ 0 i 2(C)4π2a +2b(B)ab2a +2b(D)abµ 0 i 44πµ 0 i4π2a +2bab2a +2bab22. A short magnet produces a deflection of 30° when placedat certain distance in tanA position of magnetometer. Ifanother short magnet of double the length and thrice thepole strength is placed at the same distance in tanBposition of the magnetometer, the deflection producedwill be -(A) 60° (B) 30°(C) 45°(D) None of these23. A solenoid has 2000 turns wound over a length of 0.30 m.Its area of cross-section is 1.2 × 10 –3 m 2 . Around itscentral section a coil of 300 turns is wound. If aninitial current of 2A in the solenoid is reversed in0.25 sec, the emf induced in the coil is equal to -(A) 6 × 10 –4 Volt (B) 4.8 × 10 –2 Volt(C) 6 × 10 –2 Volt (D) 48 kV24. A 100 volt AC source of frequency 500 Hz isconnected to a L–C-R circuit with L = 8.1 mH,C = 12.5 µF and R = 10 Ω, all connected in series.The potential difference across the resistance is -(A) 100 V(B) 200 V(C) 300 V(D) 400 V25. Which one is correct ?(A) Resultant of two vectors of unequal magnitudecan be zero(B) Resultant of three non-coplanar vectors of equalmagnitude can be zero(C) Resultant of three coplanar vectors is always zero(D) Minimum number of non-coplanar vectors whoseresultant can be zero is four.26. A stone thrown with the velocity V 0 = 14 m/s at anangle 45° to the horizontal, dropped to the ground ata distance 'S' from the point where it was thrown.From what height should the stone be thrown inhorizontal direction with the same initial velocity sothat it fall at the same spot -(A) 14.2 m(B) 16.9 m(C) 10.0 m(D) 9.6 m27. A small body of mass 'm' is attached to one end of alight inelastic string of length l. The other end of thestring is fixed. The string is held initially taut andhorizontal and then body is released. The centripetalacceleration of the body and the tension in the stringwhen the string reaches vertical position will be -(A) g, mg(B) 2g, 3 mg(C) 3g, 2mg (D) 3g, 3 mgXtraEdge for IIT-JEE 71APRIL 2010

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