JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 7 - MCQExams.com

Three point masses M1, M2 and M3 are located at the vertices of an equilateral triangle of side \'a\'. what is the moment of inertia of the system about an axis along the attitude of the triangle passing through M1?

  • Physics-Systems of Particles and Rotational Motion-89279.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89280.png

  • Physics-Systems of Particles and Rotational Motion-89281.png

  • Physics-Systems of Particles and Rotational Motion-89282.png
If the earth were to suddenly contract so that its radius become half of it present radius, without any change in its mass, the duration of the new day will be...
  • 6 hr
  • 12 hr
  • 18 hr
  • 30 hr
In HC1 molecule the separation between the nuclei of the two atoms is about 1.27Å (1Å = 10–10) The approximate location of the centre of mass of the molecule is –Åî with respect of Hydrogen atom ( mass of CL is 35.5 times of mass of Hydrogen)
  • 1
  • 2.5
  • 1.24
  • 1.5
A car is moving at a speed of 72 km/hr the radius of its wheel is 0.25m. If the wheels are stopped in 20 rotations after applying breaks then angular retardation produced by the breaks is ......

  • Physics-Systems of Particles and Rotational Motion-89286.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89287.png

  • Physics-Systems of Particles and Rotational Motion-89288.png

  • Physics-Systems of Particles and Rotational Motion-89289.png
Two discs of the same material and thickness have radii 0.2 m and 0.6 m their moment of inertia about their axes will be in the ratio
  • 1 : 81
  • 1 : 27
  • 1 : 9
  • 1 : 3
A wheel of mass 10 kg has a moment of inertia of 160 kg m2 about its own axis. The radius of gyration will be _______ m.
  • 10
  • 8
  • 6
  • 4
One solid sphere A and another hollow sphere B are of the same mass and same outer radii. The moment of inertia about their diameters are respectively IA and IB such that...
  • IA = IB
  • IA > IB
  • IA < IB

  • Physics-Systems of Particles and Rotational Motion-89293.png
A ring of mass M and radius r is melted and then molded in to a sphere then the moment of inertia of the sphere will be.....
  • more than that of the ring
  • Less than that of the ring
  • Equal to that of the ring
  • None of these
One quater sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is...
Physics-Systems of Particles and Rotational Motion-89296.png

  • Physics-Systems of Particles and Rotational Motion-89297.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89298.png

  • Physics-Systems of Particles and Rotational Motion-89299.png

  • Physics-Systems of Particles and Rotational Motion-89300.png
Two disc of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1:3. The moment of inertia of these disc about the respective axes passing through their centres and perpendicular to their planes will be in the ratio.
  • 1 : 3
  • 3 : 1
  • 1 : 9
  • 9 : 1
Let I be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle of Q with AB. The moment of inertia of the plate about the axis CD is then equal to....
  • I
  • Isin2Ɵ
  • Icos2Ɵ
  • Icos2Ɵ/2
A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift in the centre of mass of the disc...
  • –0.4 cm
  • –2.4 cm
  • –1.8 cm
  • 1.2 cm
A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and centre of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are ωA and ωB respectively, Then
  • ωA < ωB
  • ωA = ωB
  • ωA = ω
  • ωA = ωB
From a disc of radius R, a concentric circular portion of radius r is cut out so as to leave an annular disc of mass M. The moment of inertia of this annular disc about the axis perpendicular to its plane and passing through its centre of gravity is
  • 1/2M (R2 + r2)
  • 1/2M (R2 – r2)
  • 1/2M (R4 + r4)
  • 1/2M (R4 – r4)
Two point masses of 0.3 kg and 0.7 kg are fixed at the ends of a rod of length 1.4 m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum, is located at a distance of .....
  • 0.4 m from mass of 0.3 kg
  • 0.98 m from mass of 0.3 kg
  • 0.7 m from mass of 0.7 kg
  • 0.98 m from mass of 0.7 kg
A child is standing with folded hands at the centre of a platform rotating about its central axis the kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is...
  • 2K
  • K/2
  • K/4
  • 4K
If the earth is treated as a sphere of radius R and mass M. Its angular momentum about the axis of rotation with period T is.....

  • Physics-Systems of Particles and Rotational Motion-89308.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89309.png

  • Physics-Systems of Particles and Rotational Motion-89310.png

  • Physics-Systems of Particles and Rotational Motion-89311.png
The centre of mass of the disc undergoes S.H.M. with angular frequency ω equal to..

  • Physics-Systems of Particles and Rotational Motion-89313.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89314.png

  • Physics-Systems of Particles and Rotational Motion-89315.png

  • Physics-Systems of Particles and Rotational Motion-89316.png
Three rings, each of mass P and radius θ are arranged as shown in the figure the moment of inertia of the arrangement about YY\' axis will be.
Physics-Systems of Particles and Rotational Motion-89318.png

  • Physics-Systems of Particles and Rotational Motion-89319.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89320.png

  • Physics-Systems of Particles and Rotational Motion-89321.png

  • Physics-Systems of Particles and Rotational Motion-89322.png
A solid sphere and a solid cylinder having same mass and radius roll down the same incline the ratio of their acceleration will be....
  • 15 : 14
  • 14 : 15
  • 5 : 3
  • 3 : 5
The ratio of angular momentum of the electron in the first allowed orbit to that in the second allowed orbit of hydrogen atom is ......

  • Physics-Systems of Particles and Rotational Motion-89325.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89326.png

  • Physics-Systems of Particles and Rotational Motion-89327.png
  • 2
A player caught a cricket ball of mass 150 gm moving at a rate of 20 m/s If the catching process is Comlitad in 0.1 sec the force of the flow exerted by the ball on the hand of the player ..... N
  • 3
  • 30
  • 150
  • 300
A rod of length L rotate about an axis passing through its centre and normal to its length with an angular velocity ω. If A is the cross-section and D is the density of material of rod. Find its rotational K.E.

  • Physics-Systems of Particles and Rotational Motion-89330.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89331.png

  • Physics-Systems of Particles and Rotational Motion-89332.png

  • Physics-Systems of Particles and Rotational Motion-89333.png
Initial angular velocity of a circular disc of mass M is w1 Then two spheres of mass m are attached gently two diametrically oppsite points on the edge of the disc what is the final angular velocity of the disc?

  • Physics-Systems of Particles and Rotational Motion-89335.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89336.png

  • Physics-Systems of Particles and Rotational Motion-89337.png

  • Physics-Systems of Particles and Rotational Motion-89338.png
A circular disc x of radius R is made from an iron plate of thickness t. and another disc Y of radius 4R is made from an iron plate of thickness t/4 then the rotation between the moment of inertia Ix and Iy is

  • Physics-Systems of Particles and Rotational Motion-89340.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89341.png

  • Physics-Systems of Particles and Rotational Motion-89342.png

  • Physics-Systems of Particles and Rotational Motion-89343.png
Two spheres each of mass M and radius R/2 are connected with a mass less rod of length 2R as shown in figure. What will be moment of inertia of the system about an axis passing through centre of one of the spheres and perpendicular to the rod?

  • Physics-Systems of Particles and Rotational Motion-89345.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89346.png

  • Physics-Systems of Particles and Rotational Motion-89347.png

  • Physics-Systems of Particles and Rotational Motion-89348.png
A solid cylinder rolls down a smooth inclined plane 4.8m high without slipping what is its linear speed at the bottom of the plane, if it starts rolling from the top of the plane? (take g = 10 m/s2)
  • 4 m/S
  • 2 m/S
  • 10 m/S
  • 8 m/S
A molecule consist of two atoms each of mass \'m\' and separated by a distance of \'d\' If \'K\' is the average rotational K.E. of the molecule at particular temperature then its angular frequency is....

  • Physics-Systems of Particles and Rotational Motion-89351.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89352.png

  • Physics-Systems of Particles and Rotational Motion-89353.png

  • Physics-Systems of Particles and Rotational Motion-89354.png
A car is moving with a constant speed the wheels of the car make 120 rotations per minute the breaks are applied and the car comes to rest in 8 sec how many rotation are completed by the wheels before the car is brought to rest.
  • 4
  • 6
  • 8
  • 10
The angular momentum of a wheel changes from 2L to 5L in 3 seconds what is the magnitudes of torque acting on it?
  • L
  • L/2
  • L/3
  • L/5
A spherical ball rolls on a table without slipping, then the fraction of its total energy associated with rotation is .
  • 2/5
  • 3/5
  • 2/7
  • 3/7

Physics-Systems of Particles and Rotational Motion-89359.png
  • A
  • B
  • C
  • D
In the following questions statement – 1 (Assertion) is followed by statement – 2 (Reason). Each question has the following four choices out of which only one choice is correct.
  • Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1
  • Statement –1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1
  • Statement – 1 is true, statement – 2 is false
  • Statement – 2 is false, statement – 2 is true
Statement –1 — The angular momentum of a particle moving in a circular orbit with a constant speed remains conserved about any point on the circumference of the circle.
Statement – 2— If no net torque outs, the angular momentum of a system is conserved.
  • Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1
  • Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1
  • Statement – 1 is true, statement – 2 is false
  • Statement – 2 is false, statement – 2 is true
Statement – 1 —A thin uniform rod AB of mass M and length L is hinged at one end A to the horizontal floor initially it stands vertically. It is allowed to fall freely on the floor in the vertical plane, The angular velocity of the rod when its ends B strikes the floor √3g/L
Statement – 2 — The angular momentum of the rod about the hinge remains constant through out its fall to the floor.
  • Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1
  • Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1
  • Statement – 1 is true, statement – 2 is false
  • Statement – 2 is false, statement – 2 is true
.Statement – 1 —If the cylinder rolling with angular speed- w. suddenly breaks up in to two equal halves of the same radius. The angular speed of each piece becomes 2w.
Statement – 2—If no external torque outs, the angular momentum of the system is conserved.
  • Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1
  • Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1
  • Statement – 1 is true, statement – 2 is false
  • Statement – 2 is false, statement – 2 is true
A Solid sphere of mass M and radius R is released from rest at the top of a frictionless inclined plane of length \'d\' and inclination ?.
In case (a) it rolls down the plane without slipping and in case (b) it slides down the plane
The ratio of the acceleration of the sphere in case (a) to that in case (b) is
  • 1
  • 2/3
  • 5/7
  • 7/9
A Solid sphere of mass M and radius R is released from rest at the top of a frictionless inclined plane of length \'d\' and inclination ?.
In case (a) it rolls down the plane without slipping and in case (b) it slides down the plane
The ratio of time taken by the sphere to reach the bottom in case (a) to that in case (b) as
  • 1
  • 2)
    Physics-Systems of Particles and Rotational Motion-89361.png

  • Physics-Systems of Particles and Rotational Motion-89362.png

  • Physics-Systems of Particles and Rotational Motion-89363.png
A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
The magnitude of torque acting on the disc is
  • MgR
  • 2)
    Physics-Systems of Particles and Rotational Motion-89365.png

  • Physics-Systems of Particles and Rotational Motion-89366.png

  • Physics-Systems of Particles and Rotational Motion-89367.png
A solid cylinder of mass M and R is mounted on a frictionless horizontal axle so that it can freely rotate about this axis. A string of negligible mass is wrapped round the cylinder and a body of mass m is hung from the string as shown in figure the mass is released from rest then___
The tension in string is
Physics-Systems of Particles and Rotational Motion-89370.png
  • mg
  • 2)
    Physics-Systems of Particles and Rotational Motion-89371.png

  • Physics-Systems of Particles and Rotational Motion-89372.png

  • Physics-Systems of Particles and Rotational Motion-89373.png
A solid cylinder of mass M and radius R rolls down an inclined plane of height h. The angular velocity of the cylinder when it reaches the bottom of the plane will be.

  • Physics-Systems of Particles and Rotational Motion-89375.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89376.png

  • Physics-Systems of Particles and Rotational Motion-89377.png

  • Physics-Systems of Particles and Rotational Motion-89378.png
A cylinder of mass M has length L that is √3 times its radius what is the ratio of its moment of inertia about its own axis and that about an axis passing through its centre and perpendicular to its axis?
  • 1
  • 2)
    Physics-Systems of Particles and Rotational Motion-89380.png

  • Physics-Systems of Particles and Rotational Motion-89381.png

  • Physics-Systems of Particles and Rotational Motion-89382.png
A thin uniform rod AB of mass M and length L is hinged at one end A to the horizontal floor. Initially it stands vertically. It is allowed to fall freely on the floor in the vertical plane. The angular velocity of the rod when its end B strikes the floor is ____

  • Physics-Systems of Particles and Rotational Motion-89384.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89385.png

  • Physics-Systems of Particles and Rotational Motion-89386.png

  • Physics-Systems of Particles and Rotational Motion-89387.png
If a is aerial velocity of a planet of mass M its angular momentum is
  • M
  • 2 MA
  • A2M
  • AM2
A wheel having moment of inertia 2 kg M2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheels rotation in one minute will be..

  • Physics-Systems of Particles and Rotational Motion-89390.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89391.png

  • Physics-Systems of Particles and Rotational Motion-89392.png

  • Physics-Systems of Particles and Rotational Motion-89393.png
A wheel is rotating at 900 rpm about its axis. When power is cut off it comes to rest in 1 minute, the angular retardation in rad / sec is ___

  • Physics-Systems of Particles and Rotational Motion-89395.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89396.png

  • Physics-Systems of Particles and Rotational Motion-89397.png

  • Physics-Systems of Particles and Rotational Motion-89398.png
A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first two second it rotate through an angle θ1, in the next 2 sec. it rotates through an angle θ2, find the ratio θ1/θ2 =
  • 1
  • 2
  • 3
  • 4
Where will be the centre of mass on combining two masses m and M (M > m)?
  • Towards m
  • Towards M
  • Between m and M
  • Anywhere
Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
  • 1.5R
  • 2.5 R
  • 4.5R
  • 7.5 R
In the HCl molecule, the separation between the nuclei of two atoms is about 1.27 Å (1Å = 10–10 m). The approximate location of the centre of mass of the molecule, assuming the chlorine atom to be about 35.5 times massive as hydrogen is
  • 1 Å
  • 2.5 Å
  • 1.24 Å
  • 1.5 Å
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Physics Quiz Questions and Answers