JEE Questions for Physics Motion In A Plane Quiz 3 - MCQExams.com

A bullet fired at an angle of 30° with the horizontal hits the ground 3 km away. By adjusting its angle of projection, one can hope to hit a target 5 km away. Assume the muzzle speed to be same and the air resistance is negligible
  • possible to hit a target 5 km away
  • not possible to hit a target 5 km away
  • prediction is not possible
  • None of the above
At what point of a projectile motion, acceleration and velocity are perpendicular to each other?
  • At the point of projection
  • At the point of drop
  • At the top most point
  • Anywhere in between the point of projection and two most point
A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with velocity of 147 ms -1. Then, the time after which its inclination with the horizontal is 45°, is
  • 25 s
  • 10.98 s
  • 5.49 s
  • 2.745 s
Two bodies are projected from ground with equal speed 20 ms -1 from the same position in the same vertical plane to have equal range but at different angles above the horizontal. If one of the angle is 30° the sum of their maximum heights is (assume, g =10 ms -2)
  • 400 m
  • 20 m
  • 30 m
  • 40 m
Three particles A, B and C are projected from the same point with the same initial speeds making angles 30°, 45° and 60°, respectively with the horizontally. Which of the following statements is correct?
  • A ,B and C have unequal ranges
  • Range of A and C are less than that of B
  • Range of A and C are equal and greater than that of B
  • A, B and C have equal ranges
A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out a length s = t3 + 5, where s is in metre and t is in second. The radius of the path is 20 m. The acceleration of P, when t = 2 s is nearly
Physics-Motion in a Plane-80281.png
  • 13 ms -2
  • 12 ms -2
  • 7.2 ms -2
  • 14 ms -2
A bob of mass M is suspended by a massless string of length L. The horizontal velocity v at position A is just sufficient to make it reach the point B. The angle θ at which the speed of the bob is half of that at A, satisfies
Physics-Motion in a Plane-80292.png

  • Physics-Motion in a Plane-80293.png
  • 2)
    Physics-Motion in a Plane-80294.png

  • Physics-Motion in a Plane-80295.png

  • Physics-Motion in a Plane-80296.png
A roller coaster is designed such that riders experience `weightlessness' as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between
  • 14 ms -1 and 15 ms -1
  • 15 ms -1 and 16 ms -1
  • 16 ms -1 and 17 ms -1
  • 13 ms -1 and 14 ms -1
A particle of mass m is tied to one end of a string of length l and rotated though the other end along a horizontal circular path with speed v. The work done in half horizontal circle is
  • zero
  • 2)
    Physics-Motion in a Plane-80299.png

  • Physics-Motion in a Plane-80300.png

  • Physics-Motion in a Plane-80301.png
A cyclist is travelling on a circualr section of highway of radius 2500 ft at the speed of 60 mile h -1. The cyclist suddenly applies the brakes causing the bicycle to shown down at constant rate. Knowing that after 8s, the speed has been reduced to 45 mile h -1. The acceleration of the bicycle immediately after the brakes have been applied is
  • 2 ft/s2
  • 4.14 ft/s2
  • 3.10 ft/s2
  • 2.75 ft/s2
If the length of the second's hand in a stop-clock is 3 cm, the angular velocity and linear velocity of the tip is
  • 0.2047 rads -1, 0.0314 ms -1
  • 0.2547 rads -1, 0.314 ms -1
  • 0.1472 rads -1, 0.06314 ms -1
  • 0.1047 rads -1, 0.00314 ms -1
A cyclist is moving on a circular track of radius 80 m with a velocity v = 36 Kmh -1. He has to lean from the vertical approximately through an angle (take, g = 10 ms -2 )
  • tan -1(4)
  • 2)
    Physics-Motion in a Plane-80305.png

  • Physics-Motion in a Plane-80306.png

  • Physics-Motion in a Plane-80307.png
A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10ms -2, then the maximum angular velocity of the stone will be
  • 2 rad s -1
  • 4 rad s -1
  • 8 rad s -1
  • 16 rad s -1
One end of a string of length l is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v, the net force on the particle (directed towards the centre) is
  • T
  • 2)
    Physics-Motion in a Plane-80310.png

  • Physics-Motion in a Plane-80311.png
  • zero
A stone of mass 1 kg tied to the end of a string of length 1 m, is whirled in a horizontal circle with a uniform angular velocity 2 rads -1. The tension of the string is (in newton)
  • 2
  • 1/3
  • 4
  • 1/4
What is the angular velocity of the earth?

  • Physics-Motion in a Plane-80314.png
  • 2)
    Physics-Motion in a Plane-80315.png

  • Physics-Motion in a Plane-80316.png

  • Physics-Motion in a Plane-80317.png
A particle of mass m is rotating in a horizontal circle of radius R and is attached to a hanging mass M as shown in the figure. The speed of rotation required by the mass m keep M steady is
Physics-Motion in a Plane-80319.png

  • Physics-Motion in a Plane-80320.png
  • 2)
    Physics-Motion in a Plane-80321.png

  • Physics-Motion in a Plane-80322.png

  • Physics-Motion in a Plane-80323.png
A body is projected at an angle θ so that its range is maximum. If T is the time of flight, then the value of maximum range is (acceleration due to gravity = g)

  • Physics-Motion in a Plane-80325.png
  • 2)
    Physics-Motion in a Plane-80326.png

  • Physics-Motion in a Plane-80327.png

  • Physics-Motion in a Plane-80328.png
A particle of mass m is projected with a velocity v making an angle of 30° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is

  • Physics-Motion in a Plane-80330.png
  • zero

  • Physics-Motion in a Plane-80331.png

  • Physics-Motion in a Plane-80332.png
For a given velocity, a projectile has the same range R of two angles of projection if t1 and t2 are the time of flight in the two cases, then
  • t1 t2∝ R
  • t1 t2∝ R 2
  • t1 t2∝1/R 2
  • t1 t2∝1/R

Physics-Motion in a Plane-80335.png
  • 0°
  • 60°
  • 30°
  • 45°
  • 15°
An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is 30°, then the speed of the aircraft is
  • 19.63 ms -1
  • 1963 ms -1
  • 108 ms -1
  • 196.3 ms -1
  • 10.8 ms -1

Physics-Motion in a Plane-80338.png
  • y = x2 + constant
  • y2 = x + constant
  • xy = constant
  • y2 = x2 + constant
A projectile is projected with velocity kve in vertically upward direction from the ground into the space ( ve is the escape velocity and k < 1). If air resistance is considered to be negligible, then the maximum height from the centre of earth to which it can go will be (R = radius of earth)

  • Physics-Motion in a Plane-80340.png
  • 2)
    Physics-Motion in a Plane-80341.png

  • Physics-Motion in a Plane-80342.png

  • Physics-Motion in a Plane-80343.png
A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
Physics-Motion in a Plane-80345.png

  • Physics-Motion in a Plane-80346.png
  • 2)
    Physics-Motion in a Plane-80347.png

  • Physics-Motion in a Plane-80348.png

  • Physics-Motion in a Plane-80349.png

Physics-Motion in a Plane-80350.png
  • 15°
  • 45°
  • 30°
  • 60°
A particle is projected with velocity vo along x-axis. The deceleration on the particle is proportional to the square of the distance from the origin, i.e. a = α x2, the distance at which the particle stops is

  • Physics-Motion in a Plane-80352.png
  • 2)
    Physics-Motion in a Plane-80353.png

  • Physics-Motion in a Plane-80354.png

  • Physics-Motion in a Plane-80355.png
A stone is thrown at an angle θ to the horizontal reaches a maximum height H. Then, the time of flight of stone will be

  • Physics-Motion in a Plane-80357.png
  • 2)
    Physics-Motion in a Plane-80358.png

  • Physics-Motion in a Plane-80359.png

  • Physics-Motion in a Plane-80360.png
Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination is β. If α be the angle of projection of the first body with the horizontal the ratio of their times of flight is

  • Physics-Motion in a Plane-80362.png
  • 2)
    Physics-Motion in a Plane-80363.png

  • Physics-Motion in a Plane-80364.png

  • Physics-Motion in a Plane-80365.png
The maximum height attained by a projectile when thrown at an angle θ with the horizontal is found to be half the horizontal range. Then, θ is equal to
  • tan -1 (2)
  • 2)
    Physics-Motion in a Plane-80367.png

  • Physics-Motion in a Plane-80368.png

  • Physics-Motion in a Plane-80369.png
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Physics Quiz Questions and Answers