In Class 11 Final Exams there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Downloads of CBSE Class 11 Physics Chapter 7 Case Study and Passage-Based Questions with Answers were Prepared Based on the Latest Exam Pattern. Students can solve Class 11 Physics Case Study Questions System of Particles and Rotational Motion to know their preparation level.
Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.
In CBSE Class 11 Physics Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.
System of Particles and Rotational Motion Case Study Questions With Answers
Here, we have provided case-based/passage-based questions for Class 11 Physics Chapter 7 System of Particles and Rotational Motion
Case Study/Passage-Based Questions
Case Study 1: Radius of gyration: The radius of gyration of a body about an axis may be defined as the distance from the axis of a mass point whose mass is equal to the mass of the whole body and whose moment of inertia is equal to the moment of inertia of the body about the axis.
the moment of inertia of a rigid body is analogous to mass in linear motion and depends on the mass of the body, its shape and size; the distribution of mass about the axis of rotation, and the position and orientation of the axis of rotation.
Theorem of perpendicular axes
It states that the moment of inertia of a planar body (lamina) about an axis perpendicular to its plane is equal to the sum of its moments of inertia about two perpendicular axes concurrent with the perpendicular axis and lying in the plane of the body. If we consider a planar body, An axis perpendicular to the body through a point O is taken as the z-axis. Two mutually perpendicular axes lying in the plane of the body and concurrent with the z-axis, i.e., passing through O, are taken as the x and y-axes. The theorem states that
I z = I x + I y.
Theorem of parallel axes
The moment of inertia of a body about any axis is equal to the sum of the moment of inertia of the body about a parallel axis passing through its center of mass and the product of its mass and the square of the distance between the two parallel axes.
z and z’ are two parallel axes, separated by a distance a. The z-axis passes through the center of mass O of the rigid body. Then according to the theorem of parallel axes
Iz’= Iz + Ma2
Where Iz and Iz’ are the moments of inertia of the body about the z and z¢ axes respectively, M is the total mass of the body and a is the perpendicular distance between the two parallel axes.
1) SI unit of the radius of gyration
- a) Metre (m)
- b) M2
- c) M3
- d) None of these
Answer: a) Metre (m)
2) Moment of inertia is analogous to
- a) Mass
- b) Area
- c) Force
- d) None of these
Answer: a) Mass
3) What is the radius of the gyration of a body about an axis?
A) The distance between two parallel axes.
B) The moment of inertia of the body.
C) The distance from the axis of a mass point whose mass equals the whole body’s mass and moment of inertia equals the body’s moment of inertia.
D) The distribution of mass about the axis of rotation.
Answer: C
4) The moment of inertia of a rigid body is analogous to what in linear motion?
A) Velocity
B) Acceleration
C) Force
D) Mass
Answer: D) Mass
5) According to the theorem of perpendicular axes, the moment of inertia of a planar body about an axis perpendicular to its plane is equal to:
A) The product of its moments of inertia about the x and y axes.
B) The sum of its moments of inertia about two perpendicular axes concurrent with the perpendicular axis.
C) The difference between the moments of inertia about the x and y axes.
D) The product of its mass and the square of the distance between two parallel axes.
Answer: Answer: B
What factor does the moment of inertia of a rigid body depend on?
A) Only the mass of the body.
B) Only the shape and size of the body.
C) The mass, shape, size, and distribution of mass about the axis of rotation.
D) The velocity of the body.
Answer: Answer: C
Hope the information shed above regarding Case Study and Passage Based Questions for Class 11 Physics Chapter 7 System of Particles and Rotational Motion with Answers Pdf free download has been useful to an extent. If you have any other queries about the CBSE Class 11 Physics System of Particles and Rotational Motion Case Study and Passage-Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible.
By Team Study Rate
