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aati, , a, , , , I. Multiple Choice Questions, (with One Correct Answer), nr, , Also for CBSE PMT (Freliminary), AIEEE, AIMS,, AFMC, OCE, DPMT, CPMT, BHU and All Other, Competitive as well as Board Examinations, , 1. For a particle executing SHM along x-axis force, , is piven by, (a) -Ak (6) Acos ke, (c) Acxp (= kx) (d) Aky., , 2. A particle is subjectd to two mutually perpen, dicular S.1LMs. such that x2 sin o and, , y = 2 sin (wt + 2 / 4). The path of the particle will, ne, , (a) an ellipse (6) a straight line, , (c) a parabola (d) a circle., , 3. A second pendulum is mounted in a rocket. Its, period of oscillation will decrease when rocket is:, (a) moving up with uniform velocity, (6) moving up with uniform acceleration, (c) moving down with uniform acceleration, (d) moving in a geostationary orbit., , 4. A particle performs harmonic oscillations along, a straight line with « period of 6s and amplitude, 4m. The mean velocity of the particle averaged, over the time interval during which it travels a, distance of 2 cm starting from the extreme position is, , (a) tems! (b)2ems7}, (c)4ems7! (d)8ems~)., , S. A particle is performing S.H.M. along X-axis with, amplitude 4 cm and time period 1 -2 sec, The, , minimum time taken by the particle to move from, x = +2cmtox = +4cmand back again is given, , by, (a) 0-68 (b) 0-45, (c) 0-35 (d) 0-25., 6. Five identical springs are used in the following, ‘ three configurations ; Fig. 10(CF).6, The time, periods of vertical oscillations in configurations, (a), (b) and (c) are in the ratio, , ma, exevenevnnoer on ennn enn, , , , SCORER SRONRENNI ONION LORIeNEE®, , v7:—L, (H) 2:42:, , 1, ined, (d)2: a, , , , 1, 221, OF ., 7. The displacement of an oscillating particle varies, , with time (in seconds) uccording to the equation, , yasin> (5 - 4 , where y is in cm. The maximum acceleration of the particle is approximately, (a) 0-62 em 57? (b) 1-81ems~?, (c)3-62ems7? (d)5-20ms7?, , &. A particle starts S.H.M. from the mean position., , Its amplitude is A and time period is T. At thetime, , when its speed is half of the maximum speed, its, , displacement y is, , (a) A2 (b) ANT, , (c) AV3/2 (d) 2AWS, , A hollow sphere is fitted with water through a, , small hole in it. It is then hung by a long thread, , and made to oscillate. As the water slowly flows |, , out of the hole at the bottom, the period of oscillation will, , (a) continuously decrease, , (6) continuously increase, , (c) first decrease and then increase, (d) first increase and then decrease., , EBANSWERS EE, , ‘c, , 2zO, , »OnN 20-44-40

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11. Ina u-tube as +, , 40, A truck is stationary and has a boty, , suspended by a light sting, in a frame, attached to the truck. The truck, suddenty, moves to the aght with an acceleration of a, The pendulum will tile, te tries edt ares the angie Of reinatcn A tre, #¢, a), , to the leh and angie of eeanaton of te, GACOLLO WO TE VTA OT ', , (4), (OLLN WO he vet 6 ore, , (bj, j, to the lett ars ancpe of cheatin of tae, +148, , percha wir the verical Gr) |, G., , (d) to the leh and ange dt ecwaten Ate, (d) ¢ ig, , ine vertical 6 tan, pends wn 3), , (c), , hown in a figure, water and, side and right side of the, The heights from the, bottom for water and ail colusnnis are 15 on, ms 20 cn respectively. The density of the oil, , is [take Pace = 1000 kgim’}, , oil are in the left, tube respectively., , |, , , , jeiaenbeipiemisien " ., , Zoe, 156, wees ot, (a) 120 begin? (b) 750 vaim*, (c) 100) vagien*® (dy 1383 egitn*®, , 12. A deep rectangular pond of surface area A,, containing water (density = p, specific heat, capacity = 5), is lxated in a region where the, outside air temperature is a steady value at, the - 26°C. The thickness of the frozen ice, layer in this pond, at a certain instant is x., Taking the thermal conductivity of ice as K,, and its specific latent heat of fusion as L, the, rate of increase of the thickness of ice layer, |, at this instant would be given by, , (a) Z6Kip 1-4) (tb) 260.Np/? ~ 1), (c) 26K Apel) (8) 26 ipl. + 45), , 13., , 14,, , 15., , 16., , 17., , An LED is Constructed, , r . from 7, die using GarsP. The *pn, The wavelength of the is Rap js 196,, , equal to ited wii,, {8} 104 rt op, ere, (oj teh mur net, 7 (2) 58 39°., The circuit diagram shown, to the logic gate, here OTE,, |, HS, |g? |, | Step 0,, tt., j 7, (2) NOR AO, oO 1) NAND, , f, c, The value of 7 = ze for hydrogen, helium, and another idea! diatomic gas X (whose, molecules are not rigid but have an, additional vibrational mode), are respective;, equal to :, , s, , s, arp G@tey, , MIN iw, S, , s, , OHV, an Stas} on, ert en Grint, ops ie, , An equi-convex lens has power P it is cut, into two symmetrical halves by a plane, containing the principal axis. The power of, one part will be, , Pp, , (a) 9 ©) 5, (aP, , (c) =, In a Young’s double slit experiment. if there, is no initial phase-difference between the, light from the two slits, a point on the screen, corresponding to the fifth minimum has path, , difference., , i. i, = 1, (a) 5 (b) 2, a r, an i(c) 9 5 (9) 5

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21., , P, , P/ to be increased uniformly from :, , ee ne | Ce, , The current ina self-inductanee » M.T. Jog 1), + 40 mii is, , millisecond. The emf. j tol, during the process is induced jn tect, (A) 100 Vv (B) 0-4y, (c) 40 Vv () 440y, , When the current through a wae eee 199), at a constant rate, the induced = increases, (A) 3s a constant and is in the cine, , inducing current. rection of, (B) is a constant and is opposi ., , tion of the inducing ary fo the dine., (C) increases with time and is i ra, , of the inducing current. mente Meection, (D) increases with time and o i, , - direction of the inducing item. =e, M.N.R. 199., , When the number of turns wat length oi, solenoid are doubled keeping the area of crosssection same, the inductance, (A) is halved, (B) remains the same, (C) is doubled, (D) becomes four times (A.F.M.C. 1995), Asolenoid has 2000 turns wound over a length, of 0:3 m. The area of its cross-section is, , 1:2 X 107? m”. Around its central part, a coil, of 300 turns is wound. If an initial current of, 2 A is reversed in 0:25 s, the induced e.m.f., , produced in the coil is, , (A) 6x 107° V (B) 4:8x10°7V, (Cc) 6x107V (D) 48V. ., The mutual inductance between two coils, , depends on, (A) medium between the coils only., , (B) separation between two coils only., , (p both (A) and (8)., (D) none of (A) and (B)- _ (CPM. 1990), , fa

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Se ek CEO, , 30. A porson swims in ariv, exactly opposite point ¢, river, His spoed of, an angle 120° with, water, The speud of, , er aiming to reach, the bank of a, swinming is 0.5 in/s at, , the direction of flow af, water in stream fg, (CBSE AIPMT 1999, (a) LOnvs (b) 0.5 ovy (c) 0.25 tvs (4) 0.43 ma, 31. Ia unit vector is represented hy, 0.51 + 08) 4+ ck, then the value of eis, , ICHSE AIPMT 1999), , (a) 1 ©) 01 ©) O01 ozo, , 32. ‘Two particles A and B are connected bya, rigid rod AU, ‘The rod slides along, perpendicular rails as shown hore. The, , velocity of A to the right is 10ni/s, What is, the velocity of B when angle a = 60° ?, , , , (CBSE AIPMT 1998], 8, 4, y, as, ° x a, , (a) 9.8m/s (0) 10ms (c)58mVs (d) 17.3005, , 33. The speed of a boat is 5 km/h in still water,, It crosses a river of width 1.0 km along the, shortest possible path in 15 min. The, velocity of the river water is (in km/h), , (a) 5 (b) 1 [CBSE AIPMT 1998], (3 (d) 4, , 34, Find the torque of a force F= -31+j+5k, acting at the pointr =71 +3) +k., ICBSE AIPMT 1997], (o) ~ 141 + 3] - 16k, (a) 141 - 38] + 16k, 35. A body is whirled in a horizontal circle of, , radius 20 cm. It has an angular velocity of, 10 rad/s, What is its linear velocity at any, , (a) - 211 + 3j + 5k, (c) 41 + 4] + 6k, , point on circular path? — {CBSE AIPMT 1996}, (a) v2 ms (b) 2 mis, (c) 10 mvs {d) 20 rvs, , 36. A bullet is fired from a gun with a speed of, 1000 m/s in order to hit a target 100 m, away. At what height above the target, , 23, , should the gun be aimed? (The resistance, of alr is negligible and g = 10 m/#), , ICUSE AIPMT 1995}, (b) 10cm (ce) hom = (cd) 20cm, , 37. ‘The position vector of a particle is, r= (acos wt) i+ (asin wt) j. The velocity of, the particle is (CBSE AIPMT 1995}, {a) directed towards the ongin, (b) directo away trom the origin, , (Cc) paraliel to the position vector, (d) perpendicular to the position vector, , (a) Gem, , 38. Which of the following is not a vector, quantity ? ICBSE AIPMY 1995), (a) Speed (b) Velacity, (c) Torque (d) Displacement, , 39. The angle between the two vectors, A=3i+ 4j4+5k and B= 3i+ 4j ~ 5k will, be ICBSE AIPMT 1994], {a) 0” (b) 45° (c} 90° (c) 180°, , 40. A boat is sent across a river with a velocity, of 8kmh"'. If the resultant velocity of, boat is 10km h™, then velocity of river is, , [CBSE AIPMT 1993], (a) 12.8kmn* (b) 6kmn*, (c) Bkenh"* (d) 10kmh™, 41, The resultant of A x 0 will be equal to, ICBSE AIPMT 1992], (a) zero (o) A, (c) zero vector (d) unit vector, , 42, When milk is churned, cream gets, , separated due to [CBSE AIPMT 1991], (a) centripetal force {b) centrifugal force, (c) frictional force (d) gravitational force, , 43. An electric fan has blades of length 30 cm, measured from the axis of rotation. If the, fan is rotating at 120 rev/min, the, acceleration of a point on the tip of the, , blade is [CBSE AIPMT 1990}, (a) 1600 ms~* (0) 47.4 ms?, {c) 23.7 ms? (d) 50.55 ms*, , 44. Two bodies of same mass are projected, with the same velocity at an angle 30° and, 60° respectively. The ratio of their, horizontal ranges will be {CASE AIPMT 1990], (1:1 1:2 ts3 — (W)2:02