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Rotational Motion Quiz-9

Dear Readers,

As per analysis for previous years, it has been observed that students preparing for NEET find Physics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Biology due to their medical background. 


Furthermore, sections such as Physics are dominantly based on theories, laws, numerical in comparison to a section of Biology which is more of fact-based, life sciences, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced. 


Q1. Two discs of the same material and thickness have radii 0.2 m and 0.6 m. Their moments of inertia about their axes will be in the ratio
  •  1∶81
  •  1∶27
  •  1∶9
  •  1∶3
Solution

Q2.Two particles of masses m1 and m2 in projectile motion have velocities v 1 and v2 respectively at time t=0. They collide at time t0. Their velocities become v'1 and v'2 at time 2t0 while still moving in air. The value of [(m1v'1+m2 v'2 )-(m1 v 1-m2 v 2)] is
  •  Zero
  •  (m1+m2 )gt0
  •  2(m1+m2 )gt0
  •  1/2 (m1+m2 )gt0
Solution

Q3.  If the torque of the rotational motion be zero, then the constant quantity will be
  •  Angular momentum
  •  Linear momentum
  •  Angular acceleration
  •  Centripetal acceleration
Solution


Q4. A body having moment of inertia about its axis of rotation equal to 3 kg-m2 is rotating with angular velocity equal to 3 rad/s. Kinetic energy of this rotating body is the same as that of body of mass 27 kg moving with a speed of
  •  1.0 m/s
  •  0.5 m/s
  •  1.5 m/s
  •  2 m/s
Solution

Q5.An inclined plane makes an angle of 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to
  •  g/3
  •  2g/3
  •  5g/7
  •  5g/14
Solution
 

Q6. A circular thin disc of mass 2 kg has a diameter 0.2 m. Calculate its moment of inertia about an axis passing through the edge and perpendicular to the plane of the disc
  •  0.01
  •  0.03
  • 1/3π20.02
  •  3
Solution

Q7.A torque of 30 N-m is applied on a 5 kg wheel whose moment of inertia is 2kg-m2 for 10 sec. The angle covered by the wheel in 10 sec will be
  •  750 rad.
  •  1500 rad.
  •  3000 rad.
  •  6000 rad.
Solution

Q8.A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its length, then
  •  L=R
  •  L=√3 R
  •  L= R/√3
  •  L=√(3/2 R)
Solution

Q9.A ring starts to roll down the inclined plane of height hwithout slipping. The velocity with it reaches the ground is
  •  √(10gh/7)
  •  √(4gh/7)
  •  √(4gh/3)
  •  √gh
Solution

Q10. A neutron travelling with velocity u and kinetic energy K collides head on elastically with the nucleus of an atom of mass number A at rest. The fraction of its kinetic energy retained by the neutron even after the collision is
  •  ((1-A)/(A+1))2
  •  ((A+1)/(A-1))2
  •  ((A-1)/A)2
  • ((A+1)/A)2
Solution

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