JEE Physics System Of Particles and Rotational Motion MCQs Set A

Refer to JEE Physics System Of Particles and Rotational Motion MCQs Set A provided below available for download in Pdf. The MCQ Questions for Full Syllabus Physics with answers are aligned as per the latest syllabus and exam pattern suggested by JEE (Main), NCERT and KVS. Multiple Choice Questions for System Of Particles and Rotational Motion are an important part of exams for Full Syllabus Physics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for JEE (Main) Full Syllabus Physics and also download more latest study material for all subjects

MCQ for Full Syllabus Physics System Of Particles and Rotational Motion

Full Syllabus Physics students should refer to the following multiple-choice questions with answers for System Of Particles and Rotational Motion in Full Syllabus.

System Of Particles and Rotational Motion MCQ Questions Full Syllabus Physics with Answers

 

 

Question:

  • a) (0.4, 0.4) m
  • b) (0.8, 0.6) m
  • c) (0.6, 0.8) m
  • d) (0.5, 0.6) m

Answer: (0.4, 0.4) m

 

Question: Figure shows a composite system of two uniform rods of lengths as indicated. Then the coordinates of the centre of mass of the system of rods are

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: A circular plate of diameter ‘a’ is kept in contact with a square plate of side a as shown. The density of the material and the thickness are same everywhere. The centre of mass of composite system will be

  • a) Inside the square plate
  • b) Outside the system
  • c) At the point of contact
  • d) Inside the circular plate 

Answer: Inside the square plate

 

Question: From a uniform square plate, one-fourth part is removed as shown. The centre of mass of remaining part will lie on

  • a) OA
  • b) OC
  • c) OB
  • d) OD

Answer: OA

 

Question: Two particles A and B initially at rest move towards each other under a mutual force of attraction. At the instant when velocity of A is v and that of B is 2v, the velocity of centre of mass of the system

  • a) Zero
  • b) 3v
  • c) 2v
  • d) v

Answer: Zero

 

Question: A shell following a parabolic path explodes somewhere in its flight. The centre of mass of fragments will move in

  • a) Same parabolic path
  • b) Horizontal direction
  • c) Any direction
  • d) Vertical direction

Answer: Same parabolic path

 

Question: A man of mass m is suspended in air by holding the rope of a balloon of mass M. As the man climbs up the rope, the balloon

  • a) Moves downward
  • b) Remains stationary
  • c) Cannot say
  • d) Moves upward

Answer: Moves downward

 

Question: A ball of mass m is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is

  • a) g
  • b)

  • c) 2g
  • d) 0

Answer: g

 

Question: A man of mass m starts moving on a plank of mass M with constant velocity v with respect to plank. If the plank lies on a smooth horizontal surface, then velocity of plank with respect to ground is

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: The moment of inertia of a body depends on

  • a) All of these
  • b) The distribution of the mass in the body
  • c) The mass of the body
  • d) The axis of rotation of the body

Answer: All of these

 

Question: The moment of inertia of a thin uniform circular disc about one of its diameter is I. Its moment of inertia about an axis tangent to it and perpendicular to its plane is

  • a) 6I
  • b)

  • c) 2I
  • d)

Answer: 6I

 

Question: The two spheres, one of which is hollow and other solid, have identical masses and moment of inertia about their respective diameters. The ratio of their radii is given by

  • a)

  • b) 3 : 7
  • c) 3 : 5
  • d) 5 : 7

Answer:

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then moment of inertia of the system about an axis about one of the sides of the square is

  • a)

  • b) Ma2 + 4Mb2
  • c) Ma2
  • d) None of this

Answer:

 

Question: Three rods each of mass m and length L are joined to form an equilateral triangle as shown in the figure. What is the moment of inertia about an axis passing through the centre of mass of the system and perpendicular to the plane?

  • a)

  • b)

  • c)

  • d) 2 mL2

Answer:

 

Question: The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is I. Which of the following is false?

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: A circular disc is to be made by using iron and aluminium so that it possesses maximum moment of inertia about geometrical axis. It is possible with

  • a) Aluminium at interior and iron surrounding it
  • b) Iron at interior surrounded by aluminium
  • c) Using iron and aluminium layers in alternate order
  • d) Sheet of iron is used at both external surfaces and aluminium as interior layer

Answer: Aluminium at interior and iron surrounding it

 

Question:

  • a)

  • b)

  • c) Zero
  • d)

Answer:

 

Question: Four thin uniform rods each of length L and mass m are joined to form a square. The moment of inertia of square about an axis along its one diagonal is

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: Two point masses m and 3m are placed at distance r. The moment of inertia of the system about an axis passing through the centre of mass of system and perpendicular to the line joining the point masses is

  • a)

  • b)

  • c)

  • d)

Answer:

 

More Questions..................................

 

Question: A wheel starts from rest and attains an angular velocity of 20 radian/s after being uniformly accelerated for 10 s. The total angle in radian through which it has turned in 10 second is

  • a) 100
  • b)

  • c)

  • d)

Answer: 100

 

Question: An angular impulse of 20 Nms is applied to a hollow cylinder of mass 2 kg and radius 20 cm. The change in its angular speed is

  • a) 250 rad/s
  • b) 2500 rad/s
  • c) 2.5 rad/s
  • d) 25 rad/s

Answer: 250 rad/s

 

Question: A hollow sphere of mass 1 kg and radius 10 cm is free to rotate about its diameter. If a force of 30N is applied tangentially to it, its angular acceleration is (in rad/s2)

  • a) 450
  • b) 50
  • c) 5
  • d) 5000

Answer: 450

 

Question:  Two equal and opposite forces are applied tangentially to a uniform disc of mass M and radius R as shown in the figure. If the disc is pivoted at its centre and free to rotate in its plane, the angular acceleration of the disc is

  • a)

  • b) Zero
  • c)

  • d)

Answer:

 

Question: A wheel having moment of inertia 4 kg m2 about its symmetrical axis, rotates at rate of 240 rpm about it. The torque which can stop the rotation of the wheel in one minute is

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: Two like parallel forces 20 N and 30 N act at the ends A and B of a rod 1.5 m long. The resultant of the forces will act at the point

  • a) 90 cm from A
  • b) 75 cm from B
  • c) 20 cm from B
  • d) 85 cm from A

Answer:  90 cm from A

 

Question:

  • a) 15 kg
  • b) 21 kg
  • c) 1 kg
  • d) 9 kg

Answer: 15 kg

 

Question:  A particle of mass m is moving with constant velocity v parallel to the x-axis as shown in the figure. Its angular momentum about origin O is

  • a) mvb
  • b) mva
  • c)

  • d)

Answer: mvb

 

Question:

  • a) 60 units
  • b) 40 units
  • c) Zero
  • d)

Answer: 60 units

 

Question:  particle P is moving along a straight line as shown in the figure. During the motion of the particle from A to B the angular momentum of the particle about O

  • a) Remains constant
  • b) First increases and then decreases
  • c) Increases
  • d) Decreases

Answer: Remains constant

 

Question: The angular momentum of a particle performing uniform circular motion is L. If the kinetic energy of partical is doubled and frequency is halved, then angular momentum becomes

  • a) 4L
  • b)

  • c)

  • d) 2L

Answer: 4L

 

Question: A solid sphere, a spherical shell, a ring and a disc of same radius and mass are allowed to roll down an inclined plane without slipping. The one which reaches the bottom first is

  • a) Solid sphere
  • b) Spherical shell
  • c) Ring
  • d) Disc

Answer: Solid sphere

 

Question: If torque acting upon a system is zero, the quantity that remains constant is

  • a) Angular momentum
  • b) Angular velocity
  • c) Linear momentum
  • d) Force

Answer: Angular momentum

 

Question:

  • a)

  • b)

  • c) Both
  • d) None of this

Answer:

 

Question: A meter stick is held vertically with one end on the floor and is allowed to fall. The speed of the other end when it hits the floor assuming that the end at the floor does not slip is (g = 9.8 m/s2)

  • a) 5.4 m/s
  • b) 7.6 m/s
  • c) 9.2 m/s
  • d) 3.2 m/s

Answer: 5.4 m/s

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: A metre stick is pivoted about its centre. A piece of wax of mass 20 g travelling horizontally and perpendicular to it at 5 m/s strikes and adheres to one end of the stick so that the stick starts to rotate in a horizontal circle. Given the moment of inertia of the stick and wax about the pivot is 0.02 kg m2, the initial angular velocity of the stick is

  • a) 2.50 rad/s
  • b) 5.00 rad/s
  • c) 2.24 rad/s
  • d) 1.58 rad/s

Answer: 2.50 rad/s

 

Question: A circular disc of mass 2 kg and radius 10 cm rolls without slipping with a speed 2 m/s. The total kinetic energy of disc is

  • a) 6 J
  • b) 2 J
  • c) 4 J
  • d) 10 J

Answer: 6 J

 

Question: In case of pure rolling, what will be the velocity of point A of the ring of radius R ?

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: A disc of mass m and radius r is free to rotate about its centre as shown in the figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. The speed of the block as it descends through a height h, is

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: When a body is rolling without slipping on a rough horizontal surface, the work done by friction is

  • a) Always zero
  • b) May be zero
  • c) Always positive
  • d) Always negative

Answer: Always zero

 

Question: A solid spherical ball is rolling without slipping down an inclined plane. The fraction of its total energy associated with rotation is

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: A solid cylinder of mass M and radius R rolls down an inclined plane of height h without slipping. The speed of its centre of mass when it reaches the bottom is

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: 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

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: An object slides down a smooth incline and reaches the bottom with velocity v. If same mass is in the form of a ring and it rolls down an inclined plane of same height and angle of inclination, then its velocity at the bottom of inclined plane will be

  • a)

  • b)

  • c) 2 v
  • d) v

Answer:

 

Question: A swimmer while jumping into river from a height easily forms a loop in air if

  • a) He pulls his arms and legs in
  • b) He keeps himself straight
  • c) He spreads his arms and legs
  • d) None of these

Answer: He pulls his arms and legs in

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: A horizontal disc rotating freely about a vertical axis through its centre makes 90 revolutions per minute. A small piece of wax of mass m falls vertically on the disc and sticks to it at a distance r from the axis. If the number of revolutions per minute reduce to 60, then the moment of inertia of the disc is

  • a) 2 mr2
  • b) 3 mr2
  • c)

  • d) mr2

Answer:  2 mr2

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: A man of mass 60 kg is standing on a boat of mass 140 kg, which is at rest in still water. The man is initially at 20 m from the shore. He starts walking on the boat for 4 s with constant speed 1.5 m/s towards the shore. The final distance of the man from the shore is

  • a) 15.8 m
  • b) 4.2 m
  • c) 12.6 m
  • d) 14.1 m

Answer: 15.8 m

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: Two blocks of masses 5 kg and 2 kg are connected by a spring of negilible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of 7 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is

  • a) 5 m/s
  • b) 10 m/s
  • c) 20 m/s
  • d) 30 m/s

Answer: 5 m/s

 

Question:  The moment of inertia of a uniform semicircular wire of mass m and radius r, about an axis passing through its centre of mass and perpendicular to its plane is

  • a)

  • b)

  • c)

  • d) mr2

Answer:

 

Question:

  • a)

  • b)

  • c)

  • d)

Answer:

 

Question: Moment of inertia of a uniform circular disc about its diameter is I. Its moment of inertia about an axis parallel to its plane and passing through a point on its rim will be

  • a) 6I
  • b) 5I
  • c) 4I
  • d) 3I

Answer: 6I

 

Question:  Two discs of same mass and same thickness have densities as 17 g/cm3 and 51 g/cm3. The ratio of their moment of inertia about their central axes is

  • a)

  • b)

  • c)

  • d)

Answer:

 

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