Moment of Inertia and its Significance MCQ

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• The moment of inertia of a body about a given axis is 1.2kgm2. Initially, the body at rest. In order to produce a rotational kinetic energy of 1500 joule, an angular acceleration of 25radian/sec2 must be applied about the axis for duration of ___________
  ক

  4s

  খ

  2s

  গ

  8s

  ঘ

  10s
• Statement 1: If polar ice melts, days will be longer. Statement 2: Moment of inertia decreases and thus angular velocity increases.
  ক

  Both statement 1 and 2 are true and statement2 is the correct explanation of the statement1

  খ

  Both statement 1 and 2 are true but the statement2 is not the correct explanation of the statement1

  গ

  Statement 1 is true but statement 2 is false

  ঘ

  Statement 1 and 2 are false
• Moment of inertia of an object does not depend upon ___________
  ক

  Mass of object

  খ

  Mass of distribution

  গ

  Angular velocity

  ঘ

  Axis of rotation
• Analogue of mass in rotational motion is ___________
  ক

  Moment of inertia

  খ

  Angular momentum

  গ

  Gyration

  ঘ

  Angular acceleration
• If a person standing on a rotating disc stretches out his hands, the angular speed will ___________
  ক

  Increase

  খ

  Decrease

  গ

  Remains same

  ঘ

  Increases and then decreases
• Statement 1: If there is no external torque on the body about its centre of mass, then the velocity of the centre of mass remains constant. Statement 2: The linear momentum of the isolated system remains constant.
  ক

  Statements 1 and 2 are true and statement 2 is the correct explanation of statement 1

  খ

  Statement one and two are true and statement2 is not the correct explanation of statement1

  গ

  Statement 1 is true, statement 2 is false

  ঘ

  Statement 2 is true, statement 1 is false
• If the resultant of all the external forces acting on a system of particles is 0, then from an inertial frame, one can surely say that ___________
  ক

  Linear momentum of the system does not change in time

  খ

  Kinetic energy of the system does not change in time

  গ

  Angular momentum of the system does not change in time

  ঘ

  Potential energy of the system does not change in time
• A particles undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particles remain conserved?
  ক

  Centre of the circle

  খ

  On the circumference of the circle

  গ

  Inside the circle

  ঘ

  Outside the circle
• A mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin ___________
  ক

  Is zero

  খ

  Remains constant

  গ

  Goes on increasing

  ঘ

  Goes on decreasing
• The instantaneous speed of the point of contact during rolling is zero.
  ক

  True

  খ

  False