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TOPIC COVERED Physics: Mechanical Properties of Solids, Mechanical Properties of Fluids,Thermal Properties of Matter, Chemistry: Equilibrium, Redox Reactions, Hydrogen, The s-Block Elements, The p-Block Elements, Botany: Cell Cycle and Cell Division, Transport in Plants, Mineral Nutrition Zoology: Body Fluids and Circulation, Excretory Products and their, Locomotion and Movement Duration: 3 hr 20 min Max Marks: 720 Date: 15/05/2022 General Instructions: • The test will contain 200 Questions of Physics, Chemistry, Botany, and Zoology & The test will be objective type. (Attempt only 180). • Every subject contains two Part A- 35 Questions and Part B-15 Questions (Attempt only 10). • All 35 Questions of Part-A are Compulsory to attempt • Time given for test is 200 minutes.. • Marking is +4 for every correct answer, – 1 for every wrong answer. • You can reattempt the test in case of any technical issue. • Test will start at 2:00 pm and students can attempt test at any time of their own preferences PHYSICS SECTION - A 1. A uniform heavy rod of weight 10 kg ms–2 , cross- sectional area 100 cm2 and length 20 cm is hanging from a fixed support. Young modulus of the material of the rod is 2 × 1011 Nm–2 . Neglecting the lateral contraction, find the elongation of rod due to its own weight. (1) 2 × 10–9 m (2) 5 × 10–8 m (3) 4 × 10–8 m (4) 5 × 10–10 m 2. The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is v, the speed of the ejection of the liquid through the holes is (1) vR2 /n 2 r 2 (2) vR2 /nr 2 (3) vR2 /n 3 r 2 (4) v 2 R/nr 3. When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is: (1) b a ab (2) a b ab (3) ab a b (4) ab b a 4. Two non-mixing liquids of densities  and n(n > 1) are put in a container. The height of each liquid is h. A solid cylinder floats with its axis vertical and length pL(p < 1) in the denser liquid. The density of the cylinder is d. The density d is equal to (1) {2+(n + 1)p} (2) {2+(n – 1)p} (3) {1+(n – 1)p} (4) {1+(n + 1)p} 5. The normal density of a material is  and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressure P is applied uniformly on all sides, will be: (1) K P (2) PK (3) P K (4) K P AIM NEET Part Test-03
6. Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is: (1) 8/3 (2) 3/8 (3) 3/4 (4) 4/3 7. A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms–1 at a point where the pressure is P pascal. At another point where pressure is P/2 Pascal its s peed is V ms–1 . If the density of the fluid is  kg m–3 and the flow is streamline, then V is equal to: (1) 2 2 P + v  (2) P 2 + v  (3) 2P 2 + v  (4) 2 – P v  8. The temperature  at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top and bottom temperatures 1 and 2 (as shown in figure) is given by: (1) 1 2 2 1 1 2 R R R R  +  + (2) 1 1 2 2 1 2 R R R R  +  + (3) 1 2 2 1 2 1 R R R R  −  − (4) 2 2 1 1 2 1 R R R R  −  − 9. In an experiment to verify Stokes law, a small spherical ball of radius r and density  falls under gravity through a distance h in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of h is proportional to: (ignore viscosity of air) (1) r (2) r 4 (3) r 3 (4) r 2 10. Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is: (Take atmospheric pressure = 1 atm) (1) 4 : 1 (2) 8 : 1 (3) 2 : 1 (4) 0.8 : 1 11. Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is 1 : 4, the ratio of their diameters is: (1) 1 : 2 (2) 2 : 1 (3) 1 : 2 (4) 2 : 1 12. A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level (see diagram). The density of the oil is (1) 650 kg m–3 (2) 425 kg m–3 (3) 800 kg m–3 (4) 928 kg m–3 13. A uniform cylindrical rod of length L and radius r, is made from a material whose Young's modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to: (1) 2 3 ( ) F r YT (2) 2 6 ( ) F r YT (3) 2 (3 ) F r YT (4) 2 9 ( ) F r YT  14. A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1  ms–2 , what will be the tensile stress that would be developed in the wire? (1) 3.1 × 106 Nm–2 (2) 6.2 × 106 Nm–2 (3) 4.8 × 106 Nm–2 (4) 5.2 × 106 Nm–2
15. An object of mass m is suspended at the end of a massless wire of length L and area of cross section A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is: (1) 1 2 YA f mL =  (2) 1 2 mL f YA =  (3) 1 2 YL f mA =  (4) 1 2 mA f YL =  16. Water flows into a large tank with flat bottom at the rate of 10–4 m 3 s –1 . Water is also leaking out of a hole of area 1 cm2 at its bottom. If the height of the water in the tank remains steady, then this height is: (1) 2.9 cm (2) 5.1 cm (3) 4 cm (4) 1.7 cm 17. A jar is filled with two non- mixing liquids 1 and 2 having densities 1 and 2 respectively. A solid ball, made of a material of density 3, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for 1, 2 and 3? (1) 3 < 1 < 2 (2) 1 > 3 > 2 (3) 1 < 2 < 3 (4) 1 < 3 < 2 18. A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be (1) 10 cm (2) 8 cm (3) 20 cm (4) 4 cm 19. The pressure acting on a submarine is 3 × 105 Pa at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be: (Assume that atmospheric pressure is 1 × 105 Pa density of water is 103 kg m–3 , g = 10 ms–2 ) (1) 200 % 5 (2) 200 % 3 (3) 3 % 200 (4) 5 % 200 20. Three stars A, B and C have surface temperatures TA, TB and TC respectively. Star A appears bluish, star B appears reddish and star C yellowish. Hence, (1) TA > TB > TC (2) TB > TC > TA (3) TC > TB > TA (4) TA > TC > TB 21. Two series of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are Y1 and Y2. The combination behaves as a single wire then its Young's modulus is: (1) ( ) 1 2 1 2 2 3 Y Y Y Y Y = + (2) 1 2 1 2 2YY Y Y Y = + (3) ( ) 1 3 1 2 2 Y Y Y Y Y = + (4) 1 2 1 2 YY Y Y Y = + 22. Coefficient of linear expansion of brass and steel rods are 1 and 2, lengths of brass and steel rods are l1 and l2 respectively. If (l2 – I1) is maintained same at all temperatures, Which one of the following relations holds good? (1) 2 2 1 2 2 1  =  l l (2) 2 2 1 2 2 1  =  l l (3) 1 1 2 2  =  l l (4) 1 2 2 1  =  l l 23. A piece of iron is heated in a flame. It first becomes dull red then becomes reddish yellow and finally turns to white hot. The correct explanation for the above observation is (1) Stefan’s law (2) Wien’s displacement law (3) Kirchoff's law (4) Newton's law of cooling 24. A bullet of mass 5 g, travelling with a speed of 210 m/s, strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the bullet while the other half is converted into heat in the wood. The rise of temperature of the bullet if the specific heat of its material is 0.030cal/(g –°C) (1 cal = 4.2 × 107 ergs) close to: (1) 87.5 °C (2) 83.3 °C (3) 38.4 °C (4) 119.2 °C 25. Two small drops of mercury each of radius R coalesce to form a single large drop. The ratio of total surface energy before and after the change is: (1) 2 1/3 : 1 (2) 1 : 21/2 (3) 2 : 1 (4) 1 : 2 26. A body takes 4 min. to cool from 61°C to 59 °C. If the temperature of the surroundings is 30 °C, the time taken by the body to cool from 51 °C to 49 °C is: (1) 4 min (2) 3 min (3) 8 min (4) 6 min