JEE Questions for Physics Motion In A Plane Quiz 14 - MCQExams.com

Two projectiles A and B thrown with speeds in the ratio 1 : √ 2 acquires the same heights. If A is thrown at an angle of 45o with the horizontal, the angle of projection of B will be
  • 0o
  • 60o
  • 30o
  • 45o
A particle crossing the origin of coordinates at time t = 0, moves in the xy-plane with a constant acceleration a in the y - direction. If its equation of motion is y = bx2 (b is a constant), its velocity component in the x-direction is

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  • 2)
    Physics-Motion in a Plane-81052.png

  • Physics-Motion in a Plane-81053.png

  • Physics-Motion in a Plane-81054.png

Physics-Motion in a Plane-81056.png
  • y2 = x2 + cosntant
  • y = x2 + constant
  • y2 = x + constant
  • xy = constant
A car is moving in a circular track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track is
  • Zero
  • 30o
  • 45o
  • 60o
A particle of mass m is moving in a circular path of radius r such that its centripetal acceleration ac is varying with time t as, ac = k2rt2. The power delivered to the particle by the forces acting on it is

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  • 2)
    Physics-Motion in a Plane-81060.png

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  • Zero
A stone of mass 1 kg tied to a light inextensible string of length L = 10/3 m is whirling in a circular path of radius L in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if g is taken to be 10 m/s2, the speed of the stone at the highest point of the circle is
  • 20 m/s
  • 10√ 3 m/s
  • 5√ 2 m/s
  • 10 m/s
A particle P is sliding down a frictionless hemispherical bowl. It passes the point A at t = 0. At this instant of time, the horizontal component of its velocity is v. A bead Q of the same mass as P is ejected from A at t = 0 along the horizontal string AB (see figure) with the speed v. Friction between the bead and the string may be neglected. Let tP and tQ be the respective time taken by P and Q to reach the point B. Then
Physics-Motion in a Plane-81064.png
  • tP < tQ
  • tP = tQ
  • tP > tQ
  • All of these
A long horizontal rod has a bead which can slide along its length, and initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with constant angular acceleration α. If the coefficient of friction between the rod and the bead is μ, and gravity is neglected, then the time after which the bead starts slipping is

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  • 2)
    Physics-Motion in a Plane-81066.png

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  • Infinitesimal
A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in

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  • 2)
    Physics-Motion in a Plane-81070.png

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  • 2)
    Physics-Motion in a Plane-81076.png

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The angular amplitude of a simple pendulum is θ0. The maximum tension in its string will be

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  • 2)
    Physics-Motion in a Plane-81081.png

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  • Physics-Motion in a Plane-81083.png
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, satisifes
Physics-Motion in a Plane-81085.png

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  • 2)
    Physics-Motion in a Plane-81087.png

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  • Physics-Motion in a Plane-81089.png
Four persons K, L, M and N are initially at the corners of a square of length d. If every person starts moving such that K is always headed towards L, L towards M, M is headed directly towards N and N towards K, then the four persons will meet after

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  • 2)
    Physics-Motion in a Plane-81092.png

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  • Physics-Motion in a Plane-81094.png
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 metres and t is in seconds. The radius of the path is 20 m. The acceleration of \'P\' when t = 2s is nearly
  • 14 m/s2
  • 13 m/s2
  • 12 m/s2
  • 7.2 m/s2
A piece of wire is bent in the shape of a parabola y = kx2 (y - axis vertical) with a bead of mass m on it. the bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y - axis is
Physics-Motion in a Plane-81097.png
  • a/gk
  • a/2gk
  • 2a/gk
  • a/4gk
A small roller coaster starts at point A with a speed u on a curved track as shown in the figure. The friction between the roller coaster and the track is negligible and it always remains in contact with the track.. The speed of roller coaster at point D on the track will be
Physics-Motion in a Plane-81099.png

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  • 2)
    Physics-Motion in a Plane-81101.png

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  • 2)
    Physics-Motion in a Plane-81106.png

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Consider a disc rotating in the horizontal plane with a constant angular speed ω about its centre O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection is in the Y-z plane and is same for both pebbles with respect to the disc. Assume that (i) they land back on the disc before the disc has completed 1/8 rotation. (ii) their range is less than half the disc radius, and (iii) ω remains constant throughout. Then,
Physics-Motion in a Plane-81109.png
  • P lands in the shaded region and Q in the unshaded region
  • P lands in the unshaded region and Q in the shaded region
  • Both P and Q land in the unshaded region
  • Both P and Q land in the shaded region
The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path shown in the figure is appropriate for the projectile
Physics-Motion in a Plane-81111.png
  • A
  • B
  • C
  • D
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position A are (0.2). The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
Physics-Motion in a Plane-81112.png
  • (1, 4)
  • (5, 3)
  • (3, 4)
  • (4, 1)
Which of the following is the graph between the height (h) of a projectile and time (t), when it is projected from the ground

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  • 2)
    Physics-Motion in a Plane-81114.png

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Which of the following is the altitude-time graph for a projectile thrown horizontally from the top of the tower?

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  • 2)
    Physics-Motion in a Plane-81118.png

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  • Physics-Motion in a Plane-81120.png
Consider the given velocity-time graph
It represents the motion of
Physics-Motion in a Plane-81121.png
  • A projectile vertically upward, from a point
  • An electron in the hydrogen atom
  • A car with constant acceleration along a straight road
  • A bullet fired horizontally from the top of a tower
A batsman hits a sixer and the ball touches the ground outside the cricket ground. Which of the following graph describes the variation of the cricket ball\'s vertical velocity v with time between the time t1 as it hits the bat and time t2 when it touches the ground

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  • 2)
    Physics-Motion in a Plane-81123.png

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Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed ω. The discs are in the same horizontal plane. At time t = 0, the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is Vr as function of times best represented by
Physics-Motion in a Plane-81126.png

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  • 2)
    Physics-Motion in a Plane-81128.png

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The coordinates of a particle moving in a plane are given by x(t) = acos(pt) and y(t) = bsin(pt) where a, b (a. The path of the particle is an ellipse
b. The velocity and acceleration of the particle are normal to each other at t = π/(2p)
c. The acceleration of the particle is always directed towards a focus
d. The distance travelled by the particle in time interval t = 0 to t = π/2p is a
  • a and b
  • b and c
  • b and d
  • only d
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that
a. Velocity is constant
b. Acceleration is constant
c. Kinetic energy is constant
d. It moves in a circular path
  • a and b
  • b and c
  • b and d
  • d only
A train is moving along a straight line with a constant acceleration \'a\'. A boy standing in the train throws a ball forward with a speed of 10 m/s, at an angle of 60o to the horizontal. The boy has to move forward by 1.15 m inside the train to catch the ball back at the initial height. The acceleration of the train in m/s2 is
  • 10 m/s2
  • 2 m/s2
  • 1 m/s2
  • 4 m/s2
  • 5 m/s2
Assertion: In projectile motion, the angle between the instantaneous velocity and acceleration at the highest point is 180o
Reason: At the highest point, velocity of projectile will be in horizontal only.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true
Assertion: Two particles of different mass, projected with same velocity at same angles. The maximum height attained by both the particle will be same
Reason: The maximum height of projectile is independent of particle mass.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true
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