Important Questions of System of Particles and Rotational Motion Physics | Zigya

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211.

Two bodies of moments of inertia I1 and I2 (I1 > I2) have equal angular momentum. If E1 and E2 are their kinetic energies of rotation, then

  • E1 > E2

  • E1 = E2

  • E1 < E2

  • Cannot be said


212.

A coin placed on a rotating turntable just slips if it is placed at a distance of 8 cm from the centre. If angular velocity of the turntable is doubled, it will just slip at a distance of :

  • 1 cm

  • 2 cm

  • 4 cm

  • 8 cm


213.

A solid sphere is rotating about a diameter at an angular velocity ω. If it cools so that its radius reduces to 1n of its original value, its angular velocity becomes:

  • ωn

  • ωn2

  • n2ω


214.

Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is

  • 1 kg m2

  • 0.1 kg m2

  • 2 kg m2

  • 0.2 kg m2


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215.

A sphere of diameter 0.2 m and mass 2 kg is rolling on an inclined plane with velocity v = 0.5 m/s. The kinetic energy of the sphere is :

  • 0.1 J

  • 0.3 J

  • 0.5 J

  • 0.42 J


216.

A sphere rolls down an inclined plane of inclination θ. What is the acceleration as the sphere reaches the bottom?

  • 57g sinθ

  • 35g sinθ

  • 27g sinθ

  • 25g sinθ


217.

In a bicycle, the radius of rear wheel is twice the radius of front wheel. If rf and rr are the radii, vf and vare the speeds of topmost points of the wheel, then:

  • vr = 2vf

  • vf = 2vr

  • vr = vf

  • vf > vr


218.

Moment of inertia of an object does not depend upon :

  • mass of the object

  • mass distribution

  • angular velocity

  • axis of rotation


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219.

Two spherical shells one which is placed in air has constant charge Q; and the other which is placed in a medium of dielectric constant K has a charge Q;­ The ratio of forces between the shell is:

  • K : 1

  • 1 : K

  • K2 : 1

  • 1 : K2


220.

The mass of a solid sphere is 2 kg and radius is 10 cm. Sphere, tied to one end of 1 m long string, is rotated at a rate of 10 rad/sec. The rotational kinetic energy of sphere is :

  • 121.4 J

  • 18.5 J

  • 15.2 J

  • 22.0 J


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