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(C) Pressure at A > pressureat B(D) Pressure at B > Pressure(r) A mercury dropis pressed betweentwo parallel platesof glassB(s)at A(t) none11. Column I Column II(A) The coefficient of (p ) with decreasevolume expansion at in pressureconstant pressure is(B) Mean free path of (q) at all temperaturesmolecule increases(C) An ideal gas obeys (r) Same for all gasesBoyle’s and Charle’sLaw(D) A real gas behaves (s) At high temperatureas an ideal gas at lowpressure and(t) noneSECTION – IVInteger answer typeThis section contains 8 questions. The answer to each ofthe questions is a single-digit integer, ranging from 0 to9. The appropriate bubbles below the respectivequestion numbers in the ORS have to be darkened. Forexample, if the correct answers to question numbers X,Y, Z and W (say) are 6, 0, 9 and 2, respectively, thenthe correct darkening of bubbles will look like thefollowing :X Y Z W0123456789012345678912. A ball A is falling vertically downwards withvelocity v 1 . It strikes elastically with a wedge movinghorizontally with velocity v 2 as shown in figure. Findv 1the value of , so that the ball bounces back inv2vertically upward direction relative to the wedge.01234567890123456789BAAv 2v 130ºA13. Portion AB of the wedge shown in figure is roughand BC is smooth. A solid cylinder rolls withoutslipping from A to B. If AB = BC, then find the valueof ratio of translational kinetic energy to rotationalkinetic energy, when the cylinder reaches to point C.AD14. In what minimum time after its motion begins will aBparticle oscillating according to the law x = 7sin 21 πtmove from the position of equilibrium to the positionx = – 7/2 units ?15. A satellite is revolving in a circular equatorial orbit ofradius R = 2 × 10 4 km from east to west. Calculatethe interval (in hrs) after which it will appear at thesame equatorial town. Given that the radius of theearth = 6400 km and g (acceleration due to gravity)= 10 ms –2 .16. Three capillary tubes of same radius 1 cm but oflengths 1m, 2m and 3m are fitted horizontally to thebottom of a long cylinder containing a liquid atconstant pressure and flowing through these tubes.What is the length of a single tube which can replacethe three capillaries.17. Equations of a stationary and a traveling waves are asfollows : y 1 = a sin kx cos ωt and y 2 = a sin (ωt – kx)πThe phase difference between two points x 1 = and 3k3πx 2 = are φ1 and φ 2 respectively for the two waves.2kφ 1Then find the value of .φ218. A coil, a capacitor and an AC source of voltage 24 V(rms) are connected in series. By varying thefrequency of the source, a maximum rms current of6A is observed. If this coil is connected to a batteryof emf 12 V and internal resistance 4 Ω, then find thevalue of current flow through it.19. A potential difference of 10 3 V is applied across anX-ray tube. Calculate the value of ratio of thede-Broglie wavelength of the incident electrons to theshortest wavelength of X-rays produced.CXtraEdge for IIT-JEE 68APRIL 2010

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