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The questions and instructions for the class xii physics half yearly examination held in 2017-18. The exam covers various topics including electric flux, specific resistances, soft-iron cylinders, magnetic moments, and more. The document also includes instructions for the exam, such as duration, marks distribution, and use of calculators.
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Date – 12.09.2017 (Tuesday) Name of the student _________________________________________________ Section _____ General Instructions : All questions are compulsory. There are 26 questions in total. Q. Nos. 1 to 5 carry 1 mark each, Q. nos. 6 to 1 0 carry 2 marks each, Q. Nos. 11 to 2 2 carry 3 marks each, Q. No. 23 is a value based question carrying 4 marks and Q. Nos. 24 to 26 carry 5 marks each. There is no overall choice. However, an internal choice has been provided in 1 question of 2 marks, 1 question of 3 marks and all 3 questions of 5 marks each. You have to attempt only one of the given choices in such questions. Use of calculator is not allowed. However, you may use log tables if necessary. You may use the following values if necessary : c = 3× 8 m/s, h= 6.63×
Q.10 Figure shows an inductor L, and a resistor R connected in parallel to a battery through a switch. The resistance of ‘R’ is same as that of the coil of L. Two bulbs (identical) are put in each arm of the circuit. i) Which of the bulbs lights up bright when key is closed? ii) Will the two bulbs be equally bright after some time? OR A capacitor ‘c’, a variable resistor ‘R’ and a bulb ‘B’ are connected in series to the a.c. mains as shown. The bulb glows with some brightness. How will be the glow of bulb if : i) a dielectric slab is introduced between the plates of the capacitor, keeping ‘R’ to be same; ii) the resistance ‘R’ is increased keeping the same capacitance? Q.11 Find the electric field intensity due to a uniformly charged spherical shell at a point^ – i) outside the shell and ii) inside the shell iii) plot the graph of electric field with distance from the centre of the shell. Q.12 Describe schematically the equipotential surfaces corresponding^ to i) a constant electric field in the Z-direction. ii) a single positive charge at the origin iii) an electric dipole. Q.1 3 The four arms of a wheatstone bridge have the following resistances : AB = 100, BC=10, CD = 5, DA = 60. A galvanometer of 15 resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10V is maintained across AC.
Q.22 Derive the relation between object distance ‘u’, image^ distance ‘v’ and focal length ‘f’ for a concave mirror when it forms a real image of an object of finite size. Q.23 Munish had gone out of station, on a vacation for one week. After coming back, he tried to start his car but failed. He was facing such problems frequently and his friends suggested him to change the battery. He went to the workshop and hire a battery charger. He was successful in charging the car battery. a) What according to you, are the values displayed by Munish? b) How should a battery charger be connected to a car battery? c) Is it necessary to change battery after a few years? Q.24 i) Derive an expression for the energy stored in a capacitor. ii) If A is the area of plate and d is plate separation find the expression for the energy density of an electric field. iii) A 12 pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor? OR Obtain the equivalent capacitance of the following network shown in fig. For a 300 V supply, determine the charge and voltage across each capacitor. Given that C1 = C4 = 100 pF and C2 = C3 = 200 pF. Q.25 i) With the help of a diagram, explain the principle and working of a moving coil galvanometer. ii) What is the importance of a radial magnetic field and how is it produced? OR i) Discuss the principle, construction, theory and working of a cyclotron. ii) Show that the frequency is independent of both velocity and radius of the orbit. Q.26 In a series LCR circuit connected to an a.c. source of voltage E = E 0 sin wt, use phasor diagram to derive an expression for the current in the circuit. Hence, obtain the expression for the power dissipated in the circuit. Show that power dissipated at resonance is maximum. OR i) Derive the relationship between the peak and the rms value of current in an ac circuit. ii) Show that in an ac circuit containing a pure inductor, the voltage is ahead of current by /2 in phase.