JEE Questions for Physics Motion In A Plane Quiz 9 - MCQExams.com

A particle moves with an initial velocity u and retardation a v, where v is the velocity at any time t.
  • The particle will cover a total distance of u/a.
  • The particle will continue moving for a long time
  • The particle will stop moving shortly
  • The velocity of the particle will become u/2 after time 1/a
A particle moving along a straight line with uniform acceleration has velocities 7 ms–1 at A and 17 /ms at B. C is the mid point of AB. Then
  • the average velocity between C and B is 15 m/s
  • the ratio of time to go from A to C and that from C to B is 3:4
  • the velocity at C is 10 m/s
  • the average velocity between A and C is 17 m/s
Which one of the following statements is not correct in uniform circular motion?
  • The speed of the particle remains constant
  • The acceleration always towards the centre
  • The angular speed remains constant
  • The velocity remains cosntant
two particles A and B are projected with same speed so that ratio of their maximum heights reached is 3:1. If the speed of A is doubles without altering other parameters, the ratio of the horizontal ranges attained by A and B is
  • 1 : 1
  • 2 : 1
  • 4 : 1
  • 3 : 2
A particle of mass m is projected from the ground with an initial speed u0 at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u0. The angle that the composite system makes with the horizontal immediatley after the collision is

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    Physics-Motion in a Plane-80778.png

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Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is
  • m1 : m2
  • r1 : r2
  • 1 : 1
  • m1r1 : m2r2
A body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is mv2/r and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle?

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  • Zero

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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 rad/sec, 0.0314 m/sec
  • 0.2547 rad/sec, 0.314 m/sec
  • 0.1472 rad/sec, 0.06314 m/sec
  • 0.1047 rad/sec, 0.00314 m/sec
What is the angular velocity of Earth?

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    Physics-Motion in a Plane-80791.png

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A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 m/s. What is the height of the plane of circle from vertex of the funnel?
  • 0.25 cm
  • 2 cm
  • 4 cm
  • 2.5 cm

Physics-Motion in a Plane-80796.png

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    Physics-Motion in a Plane-80798.png

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A body of mass m moves in a circular path with uniform angular velocity. The motion of the body has constant
  • Acceleration
  • velocity
  • Momentum
  • Kinetic energy

Physics-Motion in a Plane-80802.png
  • due to the errors in the measurements of d and l are the same
  • due to the error in the measurement of d is twice that due to the error in the measurement of l
  • due to the error in the measurement of l is twice that due to the error in the measurement of d
  • due to the error in the measurement of d is four times that due to the error in the measurement of l
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v0, then the ratio of tensions in the three sections of the strings is
Physics-Motion in a Plane-80804.png
  • 3 : 5 : 7
  • 3 : 4 : 5
  • 7 : 11 : 6
  • 3 : 5 : 6
A tachometer is a device to measure
  • Gravitational pull
  • Speed of rotation
  • Surface tension
  • Tension in a spring
A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ω0. If the length of the string and angular velocity are doubles, the tension in the string which was initially T0 is now
  • T0
  • T0/2
  • 4T0
  • 8T0
An aircraft executes a horizontal loop with a speed of 150 m/s with its wings banked at an angle of 12o. The radius of the loop is (g = 10 m/s2, tan12o = 0.2126)
  • 10.6 km
  • 9.6 km
  • 7.4 km
  • 5.8 km
A particle is moving in a horizontal circle with constant speed. It has constant
  • Velocity
  • Acceleration
  • Kinetic energy
  • Displacement
A motor cyclist mocing with a velocity of 72 km/hr on a flat raod takes a turn on the road at a point where the radius of curvature of the road is 20 m. The acceleration due to gravity is 10 m/s2. In order to avoid plane by an angle greater than

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    Physics-Motion in a Plane-80810.png

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Two particles of equal mass are connected to a rope AB of negligible mass such that one is at end A and other dividing the length of rope in the ratio 1 : 2 from B. The rope is rotated about end B in a horizontal plane. Ratio of tensions in the smaller part to the other is (ignore effect of gravity)
  • 4 : 3
  • 1 : 4
  • 1 : 2
  • 1 : 3
A particle is moving on a circular path with constant speed, then its acceleration will be
  • Zero
  • External radial acceleration
  • Internal radial acceleration
  • Constant acceleration
A mass of 100 gm is tied to one end of a string 2 m long. The body is resolving in a horizontal circle making a maximum of 200 revolutions per min. The other end of the string is fixed at the centre of the circle of revolution. The maximum tension that the string can bear is (approximately)
  • 8.76 N
  • 8.94 N
  • 89.42 N
  • 87.64 N
A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then maximum velocity with which the car can move is
  • 7 m/s
  • 14 m/s
  • 8 m/s
  • 12 m/s
Two bodies, each of mass M are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statements is

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    Physics-Motion in a Plane-80818.png

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  • The energy of the mass m remains constant
A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a friction less horizontal plane. the other end of the spring is fixed. The particle parts moving horizontally from its equilibrium position at time t = 0 with an initial velocity u 0. when the speed of the particle is 0.5u 0. It collides elasticity with a rigid wall. After this collison
  • The speed of the particle when it returns to its equilibrium position is u 0
  • 2)
    Physics-Motion in a Plane-80821.png

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An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 rpm. The acceleration of a point on the trip of the blade is about
  • 1600 m/sec2
  • 4740 m/sec2
  • 2370 m/sec2
  • 5055 m/sec2
The acceleration of a train travelling with speed of 400 m/s as it goes round a curve of radius 160 m is
  • 1 km/s2
  • 100 m/s2
  • 10 m/s2
  • 1 m/s2
A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum. The radial force acting on the particle is

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    Physics-Motion in a Plane-80828.png

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A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance \'r\'. The speed of the particle is
  • Proportional to r2
  • Independent of r
  • Proportional to r
  • Proportional to 1/r
Two masses M and m are attached to a vertical axis by weightless threads of combines length l. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity ω. If the tension in the threads are the same during motion, the distance of M from the axis is

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    Physics-Motion in a Plane-80834.png

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0:0:1


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