The ratio of radius of gyration of uniform hollow sphere and uniform solid sphere about its diameter is _______ (both have the same radius)
- $\frac{√4}3$
- $\frac{√5}3$
- $\frac{√3}2$
- $\frac{√3}5$
The Correct Option is B
Solution and Explanation
Top Questions on Moment Of Inertia
A circular disc has radius \( R_1 \) and thickness \( T_1 \). Another circular disc made of the same material has radius \( R_2 \) and thickness \( T_2 \). If the moments of inertia of both the discs are same and \[ \frac{R_1}{R_2} = 2, \quad \text{then} \quad \frac{T_1}{T_2} = \frac{1}{\alpha}. \] The value of \( \alpha \) is __________.
- JEE Main - 2026
- Physics
- Moment Of Inertia
- A solid sphere of mass $5$ kg and radius $10$ cm is kept in contact with another solid sphere of mass $10$ kg and radius $20$ cm. The moment of inertia of this pair of spheres about the tangent passing through the point of contact is ___________ kg$\cdot$m$^2$.
- JEE Main - 2026
- Physics
- Moment Of Inertia
A solid cylinder of radius $\dfrac{R}{3}$ and length $\dfrac{L}{2}$ is removed along the central axis. Find ratio of initial moment of inertia and moment of inertia of removed cylinder.
- JEE Main - 2026
- Physics
- Moment Of Inertia
- A person sitting inside an elevator performs a weighing experiment with an object of mass $ 50 \, \text{kg} $. Suppose that the variation of the height $ y $ (in m) of the elevator, from the ground, with time $ t $ (in s) is given by $$ y = 8\left[1 + \sin\left(\frac{2\pi t}{T}\right)\right], $$ where $ T = 40\pi \, \text{s} $. Taking acceleration due to gravity, $ g = 10 \, \text{m/s}^2 $, the maximum variation of the object's weight (in N) as observed in the experiment is ____.
- JEE Advanced - 2025
- Physics
- Moment Of Inertia
- The moment of inertia of a circular ring of mass $ M $ and diameter $ r $ about a tangential axis lying in the plane of the ring is:
- JEE Main - 2025
- Physics
- Moment Of Inertia
Questions Asked in JEE Main exam
- Identify the correct statements: The presence of –NO\(_2\) group in benzene ring A. activates the ring towards electrophilic substitutions. B. deactivates the ring towards electrophilic substitutions. C. activates the ring towards nucleophilic substitutions. D. deactivates the ring towards nucleophilic substitutions. Choose the correct answer from the options given below:
- JEE Main - 2026
- General Chemistry
- If the distances of the point \( (1,2,a) \) from the line \[ \frac{x-1}{1}=\frac{y}{2}=\frac{z-1}{1} \] along the lines \[ L_1:\ \frac{x-1}{3}=\frac{y-2}{4}=\frac{z-a}{b} \quad \text{and} \quad L_2:\ \frac{x-1}{1}=\frac{y-2}{4}=\frac{z-a}{c} \] are equal, then \( a+b+c \) is equal to:
- JEE Main - 2026
- Three Dimensional Geometry
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).
- JEE Main - 2026
- Rotational motion
- In an experiment, a set of readings are obtained as follows: \[ 1.24~\text{mm},\ 1.25~\text{mm},\ 1.23~\text{mm},\ 1.21~\text{mm}. \] The expected least count of the instrument used in recording these readings is _______ mm.
- JEE Main - 2026
- General Physics
Method used for separation of mixture of products (B and C) obtained in the following reaction is:
- JEE Main - 2026
- p -Block Elements