Title NT 13 PAPER.pdf ✅

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PHYSICS 1. Which one of the following statements is false: (A) Mass, speed and energy are scalars (B) Momentum, force and torque are vectors (C) Distance is a scalar while displacement is a Vector (D) A vector has only magnitude where as a scalar has both magnitude and direction 2. Figure shown the vectors a , b and c where R is the mid point of PQ. Then which of the following is correct? P R Q O a c b (A) a b 2c + = (B) a b c + = (C) a – b 2c = (D) a – b c = 3. Vector sum of two forces of 10N and 6N cannot be: (A) 4 N (B) 8 N (C) 12 N (D) 2 N 4. Area of a parallelogram, whose diagonals are ˆ ˆ ˆ 3i j – 2k + and ˆ ˆ ˆ i – 3j 4k + will be: (A) 99 (B) 75 (C) 105 (D) 100 5. A particle goes from point A to point B, moving in a semicircle of radius 1m in 1 second. Find the magnitude of its average velocity. A O B 1m (A) 1 m/sec (B) 2 m/sec (C) -1 m/sec (D) 0 m/sec 6. The distance travelled by a particle in time t is given by s = (2.5t2 ) m. Find the average speed of the particle during time 0 to 5.0 s. (A) 25 m/s (B) 0 m/s (C) 6.5 m/s (D) 12.5 m/s 7. A car start from rest and moving with constant acceleration 5 m/sec2 . The distance travelled in the first 5 sec is x1 next 5 sec is x2 and last 5 sec is x3. Then x1: x2: x3 is (A) 1: 1: 1 (B) 5: 3: 1 (C) 1: 3: 5 (D) None of these 8. A cricketer can throw a ball to a maximum horizontal distance of 100 m. How high above the ground can the cricketer throw the ball, with the same speed? (A) 100 m (B) 50 m (C) 150 m (D) None of these 9. A stone is to be thrown so as to cover a horizontal distance of 3 m. If the velocity of the projectile is 7 m/s find the angle at which it must be thrown (A) 37° (B) 53° (C) 30° (D) 18.5° 10. A ball is thrown from the ground to clear a wall 3 m high at a distance of 6 m and falls 18 m away from the wall, the angle of projection of ball is:- (A) –1 3 tan 2       (B) –1 2 tan 3       (C) –1 1 tan 2       (D) –1 3 tan 4       PW – AITS_NT-13
11. For shown projection from a tower, find the time of flight. 100m 45o 40 2 (A) 1 sec (B) 5 sec (C) 10 sec (D) 15 sec 12. A stone is dropped from a tower of height 80 m. At the same instant another stone is thrown from the foot of the tower with a speed of 40 m/s. When & where the stones will cross each other. (A) 1 sec, 60 m (B) 1 sec, 30 m (C) 2 sec, 30 m (D) 2 sec, 60 m 13. You are on a frictionless horizontal plane. How can you get off if no horizontal force is exerted by pushing against the surface: (A) By jumping (B) By spitting or sneezing (C) By rolling your body on the surface (D) By running on the plane 14. A force of 6N acts on a body at rest of mass 1 kg. During this time, the body attains a velocity of 30 m/s. The time for which the force acts on the body is- (A) 10 seconds (B) 8 seconds (C) 7 seconds (D) 5 seconds 15. Two persons are holding a rope of negligible weight tightly at its ends so that it is horizontal. A 15 kg weight is attached to the rope at the mid point which now no longer remains horizontal. The minimum tension required to completely straighten the rope is: (A) 15 kg (B) 7.5 kg (C) 5 kg (D) infinitely large 16. A uniform thick rope of length 5m is kept on frictionless surface and a force of 5N is applied to one of its end. Find tension in the rope at 1m from this end- (A) 1N (B) 3N (C) 4N (D) 5N 17. A block is dragged on smooth plane with the help of a rope which moves with velocity v. The horizontal velocity of the block is: (A) v (B) v sin (C) v sin  (D) v cos 18. Length of a chain is L and coefficient of static friction is μ. Calculate the maximum length of the chain which can hang from the table without sliding. (A) L 1+ (B) L 1  − (C) L 1− (D) L 1  + 19. The static frictional force is - (A) Self adjustable (B) Not self adjustable (C) scalar quantity (D) Equal to the limiting force 20. A car is moving along a straight horizontal road with a speed v0. If the coefficient of friction between the tyres and the road is μ then the shortest distance in which the car can be stopped is- (A) 2 0 v 2 g (B) 0 v g (C) 2 0 v g        (D) 0 v 
21. The blocks A and B are arranged as shown in the figure. The pulley is frictionless. The mass of A is 10 kg. The coefficient of friction between block A and horizontal surface is 0.20. The minimum mass of B to start the motion will be- A B P (A) 2 kg (B) 0.2 kg (C) 5 kg (D) 10 kg 22. A insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is 1 3 . If the line joining the centre of the hemispherical surface to the insect makes an angle  with the vertical, the maximum possible value of  is given:  (A) cot  = 3 (B) tan  = 3 (C) sec  = 3 (D) cosec  = 3 23. If the coefficient of friction of a plane inclined at 45° is 0.5, then acceleration of a body sliding freely on it is (g = 9.8 m/s2 )- (A) 4.9 m/s2 (B) 9.8 m/s2 (C) 9.8 2 m/s2 (D) 9.8 2 2 m/s2 24. If the speed and radius both are tripled for a body moving on a circular path, then the new centripetal force will be: (A) Doubled of previous value (B) Equal to previous value (C) Triple of previous value (D) One third of previous value 25. The radius of the circular path of a particle is doubled but its frequency of rotation is kept constant. If the initial centripetal force be F, then the final value of centripetal force will be:- (A) F (B) F 2 (C) 4F (D) 2F 26. A 0.5 kg ball moves in a circle of radius 0.4 m at a speed of 4 ms–1 . The centripetal force on the ball is:- (A) 10 N (B) 20 N (C) 40 N (D) 80 N 27. A 500kg car takes a round turn of radius 50m with a velocity of 36 km/hr. The centripetal force is :- (A) 250 N (B) 1000 N (C) 750 N (D) 1200 N 28. Find work done by friction for displacement ‘S’? (A) K(mg + Fsin).S (B) –K(mg + Fsin).S (C) K(mg – Fsin).S (D) –K(mg – Fsin).S 29. The graph between Ek and 1 p is (ER = kinetic energy and p = momentum) – (A) (B) (C) (D) 30. Two cars approach each other on a straight road with velocities 10 m/s and 12 m/s respectively. When they are 150 meters apart, both drivers apply their brakes and each car decelerates at 2 m/s2 until they stops. How far apart will they be when both come to a halt? (A) 25 m (B) 61 m (C) 89 m (D) None of these 31. A 1.0 hp motor pumps out water from a well of depth 20 m and fills a water tank of volume 2238 liters at a height of 10 m from the ground. The running time of the motor to fill the empty water tank is (g = 10ms–2 ) (A) 5 minutes (B) 10 minutes (C) 15 minutes (D) 20 minutes m F S 1/p Ek 1/p Ek 1/p Ek 1/p Ek