JEE Questions for Physics Motion In A Plane Quiz 10 - MCQExams.com

A boy on a cycle pedals around a circle of 20 m radius at a speed of 20 m/sec. The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that is may not fall is (g = 9.8 m/s2)
  • 60.25o
  • 63.90o
  • 26.12o
  • 30.00o
The average acceleration vector for a particle having a uniform circular motion is
  • A constant vector of magnitude v2/r
  • A vector of magnitude v2/r directed normal to the plane of the given uniform circular motion
  • Equal to the instantaneous acceleration vector at the start of the motion
  • A null vector
Radius of the curved road on national highway is R. Width of the road is b. The outer edge of the road is raised by h with respect to inner edge so that a car with velocity v can pass safe over it. The value of h is

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The magnitude of the centripetal force acting on a body of mass m executing uniform motion in a circle of radius r with speed v is
  • mvr
  • mv2/r
  • v/r2m
  • v/mr
A string breaks if its tension exceeds 10 N. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be
  • 20 rad/s
  • 40 rad/s
  • 100 rad/s
  • 200 rad/s
A ball of mass 0.25 kg attached to the end of a string of length 1.96 m moving in a horizontal circle. Te string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?
  • 14 m/s
  • 3 m/s
  • 3.92 m/s
  • 5 m/s
A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 radian/sec. The centripetal force is
  • 10 N
  • 20 N
  • 30 N
  • 40 N
If a particle of mass m moving in a horizontal circle of radius r with a centripetal force (–k/r2), the total energy is

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A stone of mass 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16N. The maximum velocity of revolution that can be given to the stone without braking it, will be
  • 20 ms–1
  • 16 ms–1
  • 14 ms–1
  • 12 ms–1
A circular road of radius 1000 m has banking angle 45o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between type and road is 0.5
  • 172 m/s
  • 124 m/s
  • 99 m/s
  • 86 m/s
The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed ω and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed ω/2. The ring and disc are separated by frictionless ball bearings. The system is in the x-z plane. The point P on the inner disc is at a distance R from the origin, where OP makes an angle of 30o with the horizontal. Then with respect to the horizontal surface,
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A body is whirled in a horizontal circle of radius 20 cm. It has angular velocity of 10 rad/s. What is its linear velocity at any point on circular path?
  • 10 m/s
  • 2 m/s
  • 20 m/s
  • √2 m/s
In Young\'s double slit experiment, one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other slit. If Im be the maximum intensity, the resultant intensity I when they interfere at phase difference ϕ is given by

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An object is moving in a circle of radius 100 m with a constant speed of 3.14 m/s. What is its average speed for one complete revolution?
  • Zero
  • 31.4 m/s
  • 3.14 m/s
  • √2 × 31.4 m/s
A body of mass 100 g is rotating in a circular path of radius r with constant velocity. The work done in one complete revolution is
  • 100 r J
  • (r/J
  • (100/r)J
  • Zero
A particle comes round a circle of radius 1 m once. The time taken by it is 10 sec. The average velocity of motion is
  • 0.2 π m/s
  • 2 π m/s
  • 2 m/s
  • Zero
A radar has a power of 1 kW and is operating at a frequency of 10 GHz. It is located on a mountain top of height 500 m. The maximum distance upto which it can detect object located on the surface of the earth
(Radius of earth = 6.4 × 106 m ) is
  • 80 km
  • 16 km
  • 40 km
  • 64 km
A body can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be
  • 20√2 m
  • 10 m
  • 10√2 m
  • 20 m
Two cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is
  • m1r1 : m2r2
  • m1 : m2
  • r1 : r2
  • 1 : 1
If the radius of curvature of the path of two particles of same masses are in the ratio 1: 2, then in order to have constant centripetal force, their velocity, should be in the ratio of
  • 1 : 4
  • 4 : 1
  • √2 : 1
  • 1 : √2
A cylindrical vessel partially with water is rotated about its vertical central axis. Its surface will
  • Rise equally
  • Rise from the sides
  • Rise from the middle
  • Lowered equally
An aeroplane is flying with a uniform speed of 100 m/s along a circular path of radius 100 m. The angular speed of the aeroplane will be
  • 1 rad/sec
  • 2 rad/sec
  • 3 rad/sec
  • 4 rad/sec
The angular velocity of a wheel is 70 rad/sec. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is
  • 70 m/s
  • 35 m/s
  • 30 m/s
  • 20 m/s
A cyclist goes round a circular path of circumference 34.3 m in √22 sec. The angle made by him, with the vertical will be
  • 40o
  • 45o
  • 42o
  • 48o
A particle of mass M is moving in a horizontal circle of radius R with uniform speed V. When it moves from one point to a diametrically opposite point, its
  • Kinetic energy changes by MV2/4
  • Momentum does not change
  • Momentum changes by 2MV
  • Kinetic energy changes by MV2
In uniform circular motion, the velocity vector and acceleration vector are
  • Perpendicular to each other
  • Same direction
  • Opposite direction
  • Not related to each other
A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the car is true?
  • Magnitude of velocity is not constant
  • Both magnitude and direction of velocity change
  • Velocity is directed towards the centre of the circle
  • Magnitude of velocity is constant but direction changes
A particle moves with constant speed v along a circular path of radius r and completes the circle in time T.. The acceleration of the particle is
  • 2πv/T
  • 2πt/t
  • 2πr2
  • 2πv2/T
The maximum velocity (in m/s) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is
  • 60
  • 30
  • 15
  • 25
In uniform circular motion
  • Both angular velocity and the angular momentum vary
  • The angular velocity varies but the angular momentum remains constant
  • Both the angular velocity and the angular momentum stay constant
  • The angular momentum varies but the angular velocity remains constant
0:0:1


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