Tiêu đề Motion in a Straight line-2.pdf ✅

Exercise 1: NCERT Based Topic-wise MCQs 1. Which of the following is a one dimensional motion ? NCERT Page-40 / N-13 (a) Motion of snake (b) Motion of air particle (c) Motion of satellite (d) Motion of train running on a straight track Position, Path Length and Displacement 2. The location of a particle has changed. What can we say about the displacement and the distance covered by the particle? NCERT Page-41 (a) Neither can be zero (b) One may be zero (c) Both may be zero (d) One is +ve, other is -ve 3. The displacement of a body is zero. The distance covered NCERT Page-41 (a) is zero (b) is not zero (c) may or may not be zero (d) depends upon the acceleration 4. The numerical ratio of displacement to distance for a moving object is NCERT Page-41 (a) always less than 1 (b) always equal to 1 (c) always more than 1 (d) equal to or less than 1 5. Which of the following can be zero, when a particle is in motion for some time? NCERT Page-41 (a) Distance (b) Displacement (c) Speed (d) None of these 6. A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be : (Given cos 135∘ = −0.7 ) NCERT Page-41 CHAPTER 4 MOTION IN A STRAIGHT LINE 4.1 INTRODUCTION
(a) 42 m (b) 47 m (c) 19 m (d) 40 m 7. An athlete completes one round of a circular track of radius R in 40sec. What will be his displacement at the end of 3 min. 20sec ? NCERT Page-41 (a) Zero (b) 2R (c) 2πR (d) 7πR 8. A particle moves 2 m east then 4 m north then 5 m west. The distance is NCERT Page-40 (a) 11 m (b) 10 m (c) −11 m (d) 5 m 9. A particle moves from (2,3)m to (4,1)m. The magnitude of displacement is NCERT Page-41 (a) 2 m (b) 2√3 m (c) 2√2 m (d) 3√2 m 10. Which of the following is not possible for a body in uniform motion? NCERT Page-41 (c) Both (a) & (b) (d) None of these Average Velocity and Average Speed 11. In 1.0 s, a particle goes from point A to point B, moving in a semicircle of radius 1.0 m (see Figure). The magnitude of the average velocity is NCERT Page-42 (a) 3.14 m/s (b) 2.0 m/s (c) 1.0 m/s (d) Zero 12. A body moves in straight line with velocity v1 for 1/3 rd time and for remaining time with v2. Find average velocity. NCERT Page-42 (a) v1 3 + 2v2 3 (b) v1 3 + v2 3 (c) 2v1 3 + v2 3 (d) v1 + 2v2 3 13. A particle moves in straight line with velocity 6 m/s and 3 m/s for time intervals which are in ratio 1: 2. Find average velocity. NCERT Page-42 (a) 2 m/s (b) 3 m/s (c) 4 m/s (d) 5 m/s
14. A man leaves his house for a cycle ride. He comes back to his house after half-an-hour after covering a distance of one km. What is his average velocity for the ride? NCERT Page-42 (a) zero (b) 2 km h −1 (c) 10 km s −1 (d) 1 2 km s −1 15. A point traversed half of the distance with a velocity v0. The half of remaining part of the distance was covered with velocity v1 & second half of remaining part by v2 velocity. The mean velocity of the point, averaged over the whole time of motion is NCERT Page-42 (a) v0+v1+v2 3 (b) 2v0+v1+v2 3 (c) v0+.2v1+2v2 3 (d) 2v0 (v1+v2 ) (2v0+v1+v2 ) 4.2 Instantaneous Velocity & Speed 16. The instantaneous velocity of a particle moving in a straight line is given as v = αt + βt 2 , where α and β are constants. The distance travelled by the particle between 1 s and 2 s is: NCERT Page-43/N-14 (a) 3α + 7β (b) 3 2 α + 7 3 β (c) α 2 + β 3 (d) 3 2 α + 7 2 β 17. Two buses P & Q start from a point at the same time and move in a straight line and their positions are represented by XP(t) = αt + βt 2 and XQ(t) = ft − t 2 . At what time, both the buses have same velocity? (a) α−f 1+β (b) α+f 2(β−1) (c) α+f 2(1+β) (d) f−α 2(1+β) NCERT Page-43 / N-14 18. The fig given shows the timedisplacement curve of two particles P and Q. Which of the following statement is correct? NCERT Page-52 (a) Both P and Q move with uniform equal speed (b) P is accelerated Q is retarded (c) Both P and Q move with uniform speeds but the speed of P is more than the speed of Q (d) Both P and Q move with uniform speeds but the speed of Q is more than the speed of P. 19. The distance travelled by a body is directly proportional to the time taken. Its speed NCERT Page-42/N-14 (a) increases (b) decreases (c) becomes zero (d) remains constant 20. The slope of velocity-time graph for motion with uniform velocity is equal to NCERT Page-46, 47/N-16 (a) final velocity (b) initial velocity (c) zero (d) none of these 21. The ratio of the numerical values of the average velocity and average speed of a body is NCERT -42/N-14 (a) unity (b) unity or less (c) unity or more (d) less than unity
22. The slope of the tangent drawn on position-time graph at any instant is equal to the instantaneous (a) acceleration (b) force (c) velocity (d) momentum NCERT -43/N-14 23. The displacement-time graphs of two particles A and B are straight lines making angles of 30∘ and 60∘ respectively with the time axis. If the velocity of A is vA and that of B is vB, the value of vA/vB is (a) 1⁄2 (b) 1/√3 (c) √3 (d) 1/3 NCERT Page-41/N-14 24. Choose the wrong statement from the following. NCERT Page-47/N-16 (a) The motion of an object along a straight line is a rectilinear motion. (b) The speed in general is less than the magnitude of the velocity. (c) The slope of the displacement-time graph gives the velocity of the body. (d) The area under the velocity-time graph gives the displacement of the body. 25. Which of following graph cannot possibly represent 1D motion of a particle? NCERT -40/N-13 (a) (b) (c) (d) All of these 26. The total distance travelled by the body in the given time is equal to NCERT Page-47/N-16 (a) the area which v − t graph encloses with displacement axis (b) the area which x − t graph encloses with time axis (c) the area which v − t graph encloses with time axis (d) the area which a - t graph encloses with axis 27. Choose the correct equation to determine distance in a straight line for a body with uniform motion. (a) s = v t (b) s = v 2 t NCERT Page-47/N-16 (c) s = ut + 1 2 at 2 (d) s = v × t 2 28. The velocity time graph of the motion of the body is as shown below NCERT Page-47 / N-16 The total distance travelled by the body during the motion is equal to (a) 1 2 (AD + BE) × OC (b) 1 2 (OA + BC) × OC (c) 1 2 (OC + AB) × AD (d) 1 2 (OA + AB) × BC