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Exam Class 12 2019 : Physics

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Ashish Singh
Bishop Johnson School & College, Allahabad

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FACULTY RECRUITMENT TEST CATEGORY - B INTERNATIONAL OLYMPIAD (PHYSICS) PAPER-B Time: 1 Hour Maximum Marks: 40 Name:................................................................................. Marks: Subject: ........................................... Instructions * Attempt all questions. * Paper 2 has Two Parts I and II. Each question of Part I carries 2 marks and each question of part II caries 5 marks. * Calculators and log tables are not permitted. PART I 1. The period of a particle executing SHM is T. There is a point P, at a distance x from the mean position O . When the particle passes P towards OP, it has speed v. Find the time in which it returns to P again. 2. A rod of mass m and length is lying along the y-axis such that one of its ends is at the origin. Suddenly an impulse is given to the rod such that immediately after the impulse, the end on the origin has a velocity v0 i and the other end has a velocity 2v 0 i . Calculate the magnitude of angular momentum of the rod about the origin at this instant. 3. A conducting square loop of resistance R = 50 of side a = 1 m, with sides parallel to x and y axis is moved with velocity v = 1 m/s in the positive x-direction in a magnetic field along the negative z-direction. The value of magnetic field varies with time as well as along x-direction given by B(x, t) = 100 xt Tesla. The left edge of the loop is at origin at t = 0. Find the value of current induced in the square loop having resistance R = 50 at t = 1 sec in ampere. 4. y a v B a x A thermally insulated vessel contains some water at 0 C. The vessel is connected to a vacuum pump to pump out water vapour. This results in some water getting frozen. It is given Latent heat of vaporization of water at 0 C = 21 105 J/kg and latent heat of freezing of water = 3.36 105 J/kg. Find the maximum percentage amount of water that will be solidified in this manner. FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com.

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