1.COMBINED TEST-1 (Paper-1)

COMBINED TEST 1 PAPER-1 Duration : 3 Hours Max. Marks : 210 INSTRUCTIONS A. General 1. This question paper contains 60 questions. B. Question paper format and Marking Scheme : The question paper consists of 3 parts (Physics , Chemistry and Mathematics). Each part consists of three sections. 1. Section I contains 10 multiple choice questions. Each question has four choices (A),(B), (C) and (D) out of which ONLY ONE is correct. 2. Section II contains 5 multiple choice question .Each question has four chosices(A), (B),(C) and (D) out of which ONE or MORE are correct. 3. Section III contains 5 question . The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive). Marking Scheme. 4. For each question in Section I, you will be awarded 3 marks if you darken the bubble corresponding to the correct answer ONLY and zero marks if no bubbles are darkened. In all other cases, minus one (–1) mark will be awarded in this section. 5. For each question in Section II, you will awarded 4 marks If you darken ALL the bubble (s) correspoding to the correct answer (s) ONLY . In all other cases zero (0)marks will be awarded. No negative marks will be awarded for incorrect answers in this section . 6. For each question In Section III, You will be awarded 4 marks if you darken the bubble corresponding to the correct answer ONLY. In all other cases zero (0) marks will be awarded. No negative marks will be awarded for incorrect anwers in this section. SECTION - I (Single Correct Answer Type) This section contains 10 multiple choice questions, Each question has four choices, (A), (B), (C) and (D) out of which ONLY ONE is correct. 1. A uniform thin rod of mass m and length R is placed normally on surface of earth as shown. The mass of earth is M and its radius is R. Then the magnitude of gravitational force exerted by earth on the rod is (A) GMm 2R2 (B) GMm 4R2 (C) 4GMm 9 R2 (D) GMm 8R2 2. At the middle of the mercury barometer tube there is a little column of air with the length 𝑙0 and there is vacuum at the top as shown. Under the normal atmospheric pressure and the temperature of 300 kelvin, 𝑙0 = 10 cm. Neglect expansion of the tube. The length of the air column if the temperature rises to 330 kelvin will be - (A) 100 cm 11 (B) 11 cm (C) 10 cm (D) 12 cm 3. A transverse periodic wave on a string with a linear mass density of 0.200 kg/m is described by the following equation y = 0.05 sin(420t – 21.0 x) where x and y are in metres and t is in seconds. The tension in the string is equal to : (A) 32 N (B) 42 N (C) 66 N (D) 80 N 4. A man wearing a hat of extended length 12 cm is running in rain falling vertically downwards with speed 10 m/ s. The maximum speed with which man can run, so that rain drops does not fall on his face (the length of his face below the extended part of the hat is 16 cm) will be : (A) 7.5 m/s (B) 13.33 m/s (C) 10 m/s (D) zero 5. The wavelength of two sound waves are 49cm and 50 cm respectively. If the room temperature is 30 °C then the number of beats produced by them is approximately (velocity of sound in air at 00C = 332 m/s). (A) 6 (B) 10 (C) 14 (D) 18 6. A uniform thin rod of mass ‘m’ and length L is held horizontally by two vertical strings attached to the two ends. One of the string is cut. Find the angular acceleration soon after it is cut : (A) g (B) g 2L L (C) 3g 2L (D) 2g L 7. Calculate moment of inertia of the system about axis AB shown in figure. Each segment of the system is made of a uniform wire of m mass per unit length  = r , where r is radius of each segment. The axis of full ring is along Y–axis. The axis of the semicircular rings are along x and z–axis. The centres of all rings coincide at the origin. mr 2 5 3 (A) 2 (B) 2 mr2 (C) 2 mr2 (D) 4 mr2 8. An aircraft moving with a speed of 1000 km/h is at a height of 6000 m, just overhead of an anti-aircraft gun. If the muzzle velocity of the gun is 540 m/s, the firing angle  for the bullet to hit the aircraft should be (A) 730 (B) 300 (C) 600 (D) 450 9. A train is running at a speed of 108 km/hr. An inspection cart is also moving with a speed 10m/s in the same e  1  direction as train. The train hits the cart    . The velocity of the cart after the collision is (in m/s) nearly.  (A) 20 (B) 40 (C) 50 (D) cannot determine as the masses of train and cart are not given. 10. An ice block at 0°C is dropped from height ‘h’ above the ground. What should be the value of ‘h’ so that it just melts completely by the time it reaches the bottom assuming the loss of whole gravitational potential energy is used as heat by the ice ? [Given : Lf = 80 cal/gm] (A) 33.6 m (B) 33.6 km (C) 8 m (D) 8 km SECTION – II (Multiple Correct Answers Type) This section contains 5 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE may be correct. 11. An ideal gas undergoes a thermodynamic cycle as shown in figure.: Which of the following graphs represents the same cycle ? (A) (B) (C) (D) 12. A block of mass 2 kg is hanging over a smooth and light pulley through a light string. The other end of the string is pulled by a constant force F = 40 N. The kinetic energy of the block increase to 40 J in a given time interval (g = 10 m/s2). Then (A) tension in the string is 40 N (B) displacement of the block in the given interval of time is 2 m (C) work done by gravity is – 20 J (D) work done by tension is 80 J 13. A small object moves counter clockwise along the circular path whose centre is at origin as shown in figure. As it moves along the path, its acceleration vector continuously points towards point S. Then the object (A) Speed up as it moves from A to C via B. (B) Slows down as it moves from A to C via B. (C) Slows down as it moves from C to A via D. (D) Speed up as it moves from C to A via D. 14. An insect of mass m, starts moving on a rough inclined surface from point A. As the surface is very sticky, the coefficient of friction between the insect and the incline is  = 1. Assume that it can move in any direction ; up the incline or down the incline then (A) The maximum possible acceleration of the insect can be 14 m/sec2 (B) The maximum possible acceleration of the insect can be 2 m/sec2 (C) The insect can move with a constant velocity (D) The insect can not move with a constant velocity 15. The rate of heat energy emitted by a body at an instant depends upon (A) area of the surface. (B) difference of temperature between the surface and its surroundings (C) nature of the surface (D) None of these SECTION - III (Integer Answer Type) This section contains 5 questions. Answer each of the questions in a single-digit integer, ranging from 0 to 9. 16. A particle is moving along a straight line. Its velocity varies as v = 6 – 2t where v is in m/s and t in seconds. Find the difference between distance covered and magnitude of displacement in first 4 seconds. 17. If the acceleration of the block B in the following system is a (in m/s2) then find out value of 2a/5 (g = 10 m/s2): 18. A particle is executing SHM on a straight line. A and B are two points at which its velocity is zero. It passes through a certain point P (AP