Question:
The moment of inertia of a circular ring of mass $1\,kg $ about an axis passing through its centre and perpendicular to its plane is $4\, kg-m^{2}$ . The diameter of the ring is
The moment of inertia of a circular ring of mass $1\,kg $ about an axis passing through its centre and perpendicular to its plane is $4\, kg-m^{2}$ . The diameter of the ring is
Updated On: May 15, 2024
- 2 m
- 4 m
- 5 m
- 6 m
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Moment of inertia of circular ring about an axis passing through its center of mass and perpendicular to its plane
$I=M R^{2}$
here $I=4\, k g-m^{2}$
$m =1\, kg$
$=R^{2}=\frac{4}{1}=4 R=2\, m$
Therefore, diameter of ring $=4\, m$
$I=M R^{2}$
here $I=4\, k g-m^{2}$
$m =1\, kg$
$=R^{2}=\frac{4}{1}=4 R=2\, m$
Therefore, diameter of ring $=4\, m$
Was this answer helpful?
0
0
Top Questions on System of Particles & Rotational Motion
- A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^2 = 1 + t^2$.
Its acceleration at any time $t$ is $x^{-n}$ where $n =$ ____.- JEE Main - 2024
- Physics
- System of Particles & Rotational Motion
- A particle is moving in circular path of radius r speed v such that speed is proportional to radius as \(V∝ r^{\frac{3}{2}}\). Then how does time period of revolution depends on r i.e Trn then \(n\) is.
- JEE Main - 2024
- Physics
- System of Particles & Rotational Motion
- The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is:
- NEET (UG) - 2023
- Physics
- System of Particles & Rotational Motion
- Two identical solid spheres,each of radius 10cm,are kept in contact. If the mass of inertia of this system about the tangent passing through the point of contact is 0. Then mass of each sphere is:
- KEAM - 2023
- Physics
- System of Particles & Rotational Motion
- A uniform thin rod of mass 3kg has a length of 1m. If a point mass of 1kg is attached to it at a distance of 40cm from its center,the center of mass shifts by a distance of:
- KEAM - 2023
- Physics
- System of Particles & Rotational Motion
View More Questions
Questions Asked in JKCET exam
- A moving block having mass $m$, collides with another stationary block having mass $4\,m$. The lighter block comes to rest after collision. When the initial velocity of the lighter block is $v$, then the value of coefficient of restitution (e) will be
- JKCET - 2019
- work, energy and power
- A force $ F = 3x^2 + 2x + 1 $ acts on a body in the $ x $ -direction. The work done by this force during a displacement from $ x = -1 $ to $ +1 $ is
- JKCET - 2019
- work, energy and power
- What is the colour of the flame on heating potassium in the flame of a Bunsen burner?
- JKCET - 2019
- GROUP 1 ELEMENTS
- If $ a $ , $ b $ , $ c $ are the lengths of three edges of unit cell, $ \alpha $ is the angle between side $ b $ and $ c $ , $ \beta $ is the angle between side $ a $ and $ c $ and $ \gamma $ is the angle between side $ a $ and $ b $ , what is the Bravais Lattice dimensions of a tetragonal crystal?
- JKCET - 2019
- The solid state
- Which of the following compounds is known as copper glance?
- JKCET - 2019
- General Principles and Processes of Isolation of Elements
View More Questions
Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.