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Motion in A Plane

50 questions · Physics · NEET
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Motion in A Plane

50 questions · Physics · NEET

  1. A bob is whirled in a horizontal circle by means of a string at an initial speed of 10 rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is:2024 · Q152 · MCQ
  2. Let ω1​,ω2​ and ω3​ be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If x1​,x2​ and x3​ are their respective angular distances in 1 minute then…2024 · Q194 · MCQ
  3. A ball is projected from point A with velocity 20 m s−1 at an angle 60∘ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity vms−1… Includes diagram2023 · Q146 · MCQ
  4. A particle is executing uniform circular motion with velocity v and acceleration a. Which of the following is true?2023 · Q173 · MCQ
  5. A bullet is fired from a gun at the speed of 280 ms−1 in the direction 30∘ above the horizontal. The maximum height attained by the bullet is (g=9.8 ms−2,sin30∘=0.5):-2023 · Q130 · MCQ
  6. A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4 m s−1. The ball strikes the water surface after 4 s. The height…2023 · Q163 · MCQ
  7. A cricket ball is thrown by a player at a speed of 20 m/s in a direction 30∘ above the horizontal. The maximum height attained by the ball during its motion is (g = 10 m/s2)2022 · Q149 · MCQ
  8. A ball is projected with a velocity, 10 ms−1, at an angle of 60∘ with the vertical direction. Its speed at the highest point of its trajectory will be2022 · Q162 · MCQ
  9. A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle 'θ' to the horizontal, the maximum height attained by it…2021 · Q168 · MCQ
  10. A car starts from rest and accelerates at 5m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s? (Take g = 10 m/s2)2021 · Q173 · MCQ
  11. When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60o with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30o and the same object is shot with the…2019 · Q129 · MCQ
  12. A particle moving with velocity V is acted by three forces shown by the vector triangle PQR. The velocity of the particle will : Includes diagram2019 · Q136 · MCQ
  13. The x and y coordinates of the particle at any time are x = 5t − 2t2 and y = 10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t = 2 s is2017 · Q146 · MCQ
  14. If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is2016 · Q141 · MCQ
  15. A particle moves so that its position vector is given by r=cosωtx+sinωty​, where ω is a constant. Which of the following is true?2016 · Q142 · MCQ
  16. In the given figure, a = 15 m s−2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is Includes diagram2016 · Q142 · MCQ
  17. If vectors A=cosωti+sinωtj​ and B=cos2ωt​i+sin2ωt​j​ are functions of time, then the value of t at which…2015 · Q129 · MCQ
  18. The positions vector of a particle R as a function of time is given by R = 4sin(2πt)i + 4cos(2πt)j​. Where R is in meters, t is in seconds and i and j​…2015 · Q130 · MCQ
  19. A ship A is moving Westwards with a speed of 10 km h−1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h−1. The time after which the distance between them becomes shortest, is2015 · Q136 · MCQ
  20. A projectile is fired from the surface of the earth with a velocity of 5 m s−1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 m s−1 at the same angle follows a trajectory…2014 · Q140 · MCQ
  21. A particle is moving such that is position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) at time t = 2 s and (13 m, 14 m) at time t = 5 s. Average velocity vector (vav​) from t = 0 to…2014 · Q141 · MCQ
  22. Vectors A,B and C are such that A.B=0 and A.C=0. Then the vector parallel to A is2013 · Q146 · MCQ
  23. The velocity of a projectile at the initial point A is (2i+3j​) m/s. It's velocity (in m/s) at point B is Includes diagram2013 · Q143 · MCQ
  24. The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is2012 · Q154 · MCQ
  25. A particle has initial velocity (2i+3j​) and acceleration (0.3i+0.2j​). The magnitude of velocity after 10 seconds will be2012 · Q155 · MCQ
  26. A projectile is fired at an angle of 45o with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is2011 · Q106 · MCQ
  27. A particle moves in a circle of radius 5 cm with constant speed and time period 0.2π s. The acceleration of the particle is2011 · Q146 · MCQ
  28. A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is2011 · Q147 · MCQ
  29. A body is moving with velocity 30 m/s towards east . After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is2011 · Q148 · MCQ
  30. The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is2010 · Q100 · MCQ
  31. A particle moves in x-y plane according to rule x = asinωt and y = acosωt. The particle follows2010 · Q99 · MCQ
  32. A particle has initial velocity (3i+4j​) and has acceleration (0.4j​+0.3j​). Its speed after 10 s is2010 · Q167 · MCQ
  33. Six vectors, a through f​ have the magnitudes and directions indicated in the figure. Which of the following statements is true ? Includes diagram2010 · Q168 · MCQ
  34. A particle shows distance - time curve as given in this figure. The maximum instaneous velocity of the particle is around the point Includes diagram2008 · Q150 · MCQ
  35. A and B are two vectors and θ is the angle between them, if ​A×B​=3​(A.B),…2007 · Q132 · MCQ
  36. A particle starting from the origin (0, 0) moves in a straight line in the (x, y) planes. Its coordinates at a later time are (3​,3). The path of the particle makes with the x-axes an angle of2007 · Q133 · MCQ
  37. For angles of projection of a projectile at angle (45o − θ) and (45o + θ), the horizontal range described by the projectile are in the ratio of2006 · Q155 · MCQ
  38. The vectors A and B are such that ​A+B​=​A−B​. The angle between the two vectors is2006 · Q156 · MCQ
  39. Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other in a time…2005 · Q155 · MCQ
  40. A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revoluations in 44 seconds, what is the magnitude and direction of acceleration of the stone ?2005 · Q156 · Multiple correct
  41. If the angle between the vectors A and B is θ, the value of the product (B×A).A is equal to2005 · Q157 · MCQ
  42. If a vector 2i+3j​+8k is perpendicular to the vector 4j​−4i+αk, then the value of α is2005 · Q158 · MCQ
  43. If ​A×B​=3​A.B then the value of ​A+B​ is2004 · Q141 · MCQ
  44. The vector sum of two forces is perpendicular to their vector differences. In that case, the forces2003 · Q153 · MCQ
  45. A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 5/sec from the same height then correct statement is2002 · Q153 · MCQ
  46. If ​A+B​=​A​+​B​ then angle between A and B will be2001 · Q150 · MCQ
  47. Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same then the ratio of angular velocity will be2001 · Q151 · MCQ
  48. The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river in shortest time 15 min. Then the velocity of river stream is2000 · Q146 · MCQ
  49. Two projectiles of same mass and with same velocity are thrown at an angle 60o and 30o with the horizontal, then which will remain same2000 · Q147 · MCQ
  50. A man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the velocity of both is related as2000 · Q148 · MCQ