Tiêu đề AITS 03 .pdf ✅

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SPACE FOR ROUGH WORK [2] SECTION-I (PHYSICS) SECTION - A 1. Two planets have the same average mass density but their radii are in the ratio 2 : 3. The ratio of acceleration due to gravity at their surfaces is (1) 3 : 2 (2) 2 : 3 (3) 4 : 9 (4) 9 : 4 2. Select the incorrect statement among the following (1) Polar satellites go around the poles of earth in north-south direction (2) Time period of polar satellite is approximately 100 minutes (3) Polar satellites are high altitude satellites (4) Net torque on a planet revolving around the Sun is zero 3. A planet is orbiting in an elliptical orbit around the Sun. If K, U, E and L stands for kinetic energy, gravitational potential energy, total mechanical energy and magnitude of angular momentum about sun respectively, then select the correct statement (1) K remains conserved (2) U is always positive (3) E is always negative (4) L remains conserved but its direction changes continuously 4. If a body lying at 45° latitude feels weightlessness, then angular speed of the earth in this situation would be (symbols have their usual meaning) (1) R g (2) 2 R g (3) R g (4) 2 R g 5. The elastic energy stored per unit volume in a stretched wire is (1) 1 2 Young’s modulus × (strain) 2  (2) 1 2 stress × (strain) 2  (3) 1 stress 2 strain (4) 1 Young’s modulus × stress 2  6. The Young’s modulus of a wire of length ‘L’ and diameter ‘d’ is ‘Y’. If length of the wire is increased to 3/2 L, then Young’s modulus of wire will become (1) 3Y/4 (2) 4Y/3 (3) Y (4) 9Y/4 7. Due to capillary action, a liquid will rise in a capillary tube, if the angle of contact is (1) 120° (2) 90° (3) 30° (4) 160° 8. An iceberg of density 900 kg/m3 is floating in water of density 1000 kg/m3. The percentage of volume of iceberg inside the water (1) 10% (2) 90% (3) 20% (4) 81% 9. A large tank filled with water to height ‘H’ is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from H to H/2 and from H/2 to zero is (1) 2 (2) 1 (3) 2 1− (4) 2 1+
SPACE FOR ROUGH WORK [3] 10. An aeroplane of mass 8 × 104 kg and total wing area of 180 m2 is in a level flight at some height. The difference in pressure between the upper and lower surfaces of its wings in kilo pascal is (g = 10 m/s2 ) (1) 1.11 (2) 2.22 (3) 4.44 (4) 3.33 11. The temperature of an steel ball is changed from 40°C to 80°C. The change in its temperature on the Fahrenheit scale is (1) 40° F (2) 108° F (3) 72° F (4) 50° F 12. Two identical rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are KA = 2K and KB = 5K. The equivalent thermal conductivity of the composite rod will be (1) 3 K 2 (2) 5 K 2 (3) 7 K 2 (4) 6 K 13. Three rods having same dimensions but different thermal conductivities 3K, 2K and K are arranged as shown in figure. Their ends are at 200°C, 100°C, and 0°C. Temperature of their junction is (1) 100 C 3  (2) 800 C 3  (3) 400 C 3  (4) 200 C 3  14. A uniform cylindrical rod of length L, cross-section A and Young’s modulus Y is acted upon by the forces as shown in figure. The elongation of the rod is (1) 2 5 FL AY (2) 3 5 FL AY (3) 3 8 FL AY (4) 8 3 FL AY 15. A sample of gas follows process represented by PV = constant. Bulk modulus for this process is B, then which of the following graph is correct? (1) (2) (3) (4)