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ISC Class XI Prelims 2022 : Physics (GEMS Modern Academy, Dubai)

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FINAL EXAMINATION 2021-22 PHYSICS (THEORY) Grade: 11 Time: 3 hours Date: 07.03.2022 Max. Marks: 70 Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing during this time. ---------------------------------------------------------------------------------------------------All questions are compulsory. This question paper is divided into 4 Sections, A, B, C and D as follows: Section A Question number 1 carries 15 marks (10 Multiple choice questions and 5 very short answer questions). All parts of this question are compulsory. Section B Question numbers 2 to 12 carry 2 marks each with two questions having internal choice. Section C Question numbers 13 to 18 carry 3 marks each with two questions having internal choice. Section D Question numbers 19 to 21 carry 5 marks each with each question has an internal choice. The intended marks for questions are given in brackets [ ] All working, including rough work, should be done on the same sheet as and adjacent to the rest of the answer. Answers to sub parts of the same question must be given in one place only. This question paper consists of 7 printed pages. Page 1 of 7 SECTION A Answer all questions Question 1: (1 x 10 = 10) (A) Choose the correct alternative (a), (b), (c), or (d) for each of the questions given below. (i) The S.I unit of coefficient of thermal conductivity of a material is. (a) J-1s-1kg-1 (ii) (c) 5P1V1 (d) P1V1 (b) Varies (c) Zero (d) Maximum (b) 3.94 s (c) 0.80 s (d) 1.25 s Two sound sources produce 12 beats in 4 seconds. By how much do their frequencies differ? (a) 12 Hz (vi) (b) 6P1V1 Two identical springs each of force constants K = 25 N/m supported by 2 kg mass are connected in series. The time period of oscillation of this loaded spring will be: (a) 2.95 s (v) d) J s-1 K The acceleration of particle executing S.H.M. when it is at mean position is: (a) Infinite (iv) (c) J s K An ideal gas is taken around the cycle ABCA as shown in P-V diagram. The net work done by the gas during the cycle is equal to: (a) 12P1V1 (iii) (b) J s-1m-1K-1 (b) 1 Hz (c) 4 Hz (d) 3 Hz If two sources having intensities I and 4I interfere each other, resultant intensity of the wave for a phase difference of is: (a) 5I (b) 3I (c) 4I Page 2 of 7 (d) I The acceleration due to gravity on Earth s surface and on the surface of a planet are respectively gE and gP. If the mass and the radius of planet are both twice that of Earth, the relation between gE and gP is: (a) gE=gP (b) gE = 2gP (c) gP = 2gE (d) gP = gE/ 2 (vii) (viii) When an object has reached terminal velocity in a viscous medium, the acceleration of the object will be: (a) more than g (ix) (c) equal to g (b) 60o (c) 45o (d) 90o The dimensional formula for surface tension is: (a) [Mo Lo T-1] (b) [Mo L-1 T-1] (c) [Mo Lo T-2] (B) Answer the following questions briefly and to the point: (i) (d) less than g The horizontal range of a projectile is four times of the maximum height attained. The angle of projection with the horizontal will be: (a) 30o (x) (b) zero (d) [M1 Lo T-2] (1 x 5 = 5) The system goes from A to B via two processes I and II. Compare the change in internal energies along the two paths. (ii) Define coefficient of thermal conductivity of a material. (iii) The temperature of a gas rises during an adiabatic compression, although no heat is given to the gas from outside. Why? (iv) Does the change in gravitational potential energy of a body between two points depend upon the nature of path followed? Justify. (v) The motion of a satellite around a planet cannot be taken as S.H.M. Why? Page 3 of 7 SECTION B Answer all questions Question 2: (2) A Carnot s engine absorbs 1000J of heat from reservoir at 127oC and rejects 600J of heat during each cycle. Calculate the efficiency of the engine. Question 3: (2) Reason out the following: (i) When air is blown in between two closely suspended light balls, they are attracted to each other. (ii) The accumulation of snow on an aeroplane wing may reduce the lift. Question 4: (2) Two bullets are fired with horizontal velocity of 50 m/s and 100 m/s from two guns at a height of 19.6 m, after how much time and which bullet will strike the ground the first? OR A stone is thrown from the horizontal ground at an angle of projection of 30o with the speed of 49 m/s. calculate its (i) time of flight, (ii) horizontal range. Question 5: (2) A 500kg satellite is revolving around the earth at a height of 1000 km above the earth s surface. Calculate: (i) speed of satellite (ii) angular velocity of satellite. (Assume the orbit is circular) Question 6: (2) Two tuning forks A and B , when sounded together, produces 5 beats per second. The frequency of B is 512 Hz. It is observed that if one prong of A is slightly scraped, the number of beats increases. Determine the frequency of A . Question 7: (2) Show analytically that work done by one mole of an ideal gas during isothermal expansion from volume V1 to V2 is given by = 2 1 Question 8: (2) Define angle of contact. Draw a labelled diagram to show angle of contact between mercury and glass. Page 4 of 7 Question 9: (2) A boat can row with a speed of 10 km/h in still water. If the river flows steadily at 5 km/h, in which direction should the boat man row the boat to reach a point on the other bank directly opposite to the point from where he started. OR When a bird is flying due east with a velocity of 4 m s-1, the wind starts to blow with a velocity of 3 m s-1 due north. What is the velocity and direction of bird w.r.t. wind? Question 10: (2) If = sin( ) represents displacement equation of a body executing simple harmonic oscillation, show graphically the variation of velocity with time. Question 11: (2) Derive an equation for orbital velocity of a satellite orbiting close to the Earth s surface. Question 12: (2) Draw a graph showing the variation of acceleration due to gravity g with distance r from centre of earth. SECTION C Answer all questions Question 13: (3) The equation of a simple harmonic progressive wave is = 0.3 (314 1.57 ), where t, x and y are in second, meter and centimeter respectively. Calculate the frequency, the wavelength and the velocity of the wave. OR A transverse harmonic wave is travelling on a string with a speed of 25 m/s. A particle on a string has maximum velocity and maximum acceleration 4 m/s and 100 m/s2 respectively. Write the equation for the displacement of the wave. Question 14: (3) Refrigerator A works between -10oC and 27oC, while refrigerator B works between -27oC and 17oC, both removing heat equal to 2000 J from the freezer. Compare their coefficient of performance. Question 15: (i) (ii) (3) Can mechanical energy be converted continuously and completely into heat? Is the reverse also possible? Justify. Why does the temperature of a gas decrease when it is allowed to expand adiabatically? Page 5 of 7 Question 16: (3) The displacement equation for a particle executing SHM is y = 0.2 sin 50 (t + 0.01) meter, where y is the displacement at the instant t . Calculate the amplitude, time period, maximum velocity of SHM. OR A body describe SHM with an amplitude of 5 cm and a period of 0.2 s. Find the velocity of the body when the displacement is (i) 3 cm and (ii) 0 cm. Question 17: (3) A railway engine moving with a speed of 60m/s passes a stationary listener. The real frequency of its whistle is 400 Hz. Calculate the apparent frequency heard by the listener, when: (i) the engine is approaching the listener, (ii) the engine is moving away from the listener. (Velocity of sound = 340 m/s) Question 18: (3) A plane is in level flight at constant speed and each of its two wings has an area of 25m2. If the speed of the air is 180 km/h over the lower wing and 234 km/h over the upper wing surface., determine the plane s mass. (Take air density = 1 kg/m3 and g = 10m/s2) SECTION D Answer all questions Question 19: Explain various operations with P-V indicator diagram for Carnot s heat engine working between two temperatures T1 and T2. Deduce an expression for the efficiency of Carnot s engine. (5) OR (a) State First law of thermodynamics. By using the law show that = during isothermal expansion. (2) (b) It is observed that the gas has two specific heat capacities, Cp and Cv. Prove that Cp is always greater than Cv based on first law of thermodynamics. (3) Question 20: Prove that the motion executed by the bob of a simple pendulum is simple harmonic. Also, obtain the equation for time period of simple pendulum. (5) OR (a) Derive the equation for total energy possessed by a particle executing S.H.M. (3) (b) Discuss the variation of total energy of simple pendulum with displacement graphically. (2) Page 6 of 7 Question 21: (5) Explain with the help of diagram the formation of standing waves in case of a closed pipe for the fundamental frequency. Prove that in case of a closed organ pipe only odd harmonics are produced. OR (a) Distinguish between stationary and progressive wave. (2) (b) Explain the formation of standing waves in stretched strings fixed at both ends. Describe the three modes of vibration with the help of a neat diagram. (3) -----------------------------------------------------------------------------------------------------------------------Useful Constants and Relations: Acceleration due to gravity = 9.8 m/s2 Radius of earth = 6400 km Mass of Earth = 6 x 1024 kg 1 atm = 1.013 x 105 Pa Universal Gas constant R = 8.314 J/mol K -----------------------------------------------------------------------------------------------------------------------End of Paper Page 7 of 7

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