Competishun Header

Report Issue

JEE MAIN_2026
04-04-26_S2
Question
A solid sphere of mass $M$ and radius $R$ is divided into two unequal parts. The smaller part having mass $\mathrm{M} / 8$ is converted into a sphere of radius r and the larger part is converted into a circular disc of thickness $t$ and radius $2 R$. If $I_1$ is moment of inertia of a sphere having radius $r$ about an axis through its centre and $\mathrm{I}_2$ is the moment of inertia of a disc about its diameter, the ratio of their moment of inertia $\mathrm{I}_2 / \mathrm{I}_1=$ $\_\_\_\_$ .
Select the correct option:
A
35
B
70
C
140
D
210
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Physics
Hard
Start Preparing for JEE with Competishun
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE MAIN_2026
A solid sphere of mass $M$ and radius $R$ is divided into two unequal parts. The smaller part having mass...
JEE MainPhysicsHard
View Solution
QJEE MAIN_2026
Two nuclei of mass number 3 combine with another nucleus of mass number 4 to yield a nucleus of mass...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
The time taken by a block of mass $m$ to slide down from the highest point to the lowest point...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
The increase in the pressure required to decrease the volume $(\Delta \mathrm{V})$ of water is $...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
In a screw gauge when the circular scale is given five complete rotations it moves linearly by 2.5 mm. If...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
Moment of inertia about an axis A B for a rod of mass 40 kg and length 3 m is...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
If sunlight is focused on a paper using convex lens, it starts burning the paper in shortest time when the...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
5 moles of unknown gas is heated at constant volume from $10^{\circ} \mathrm{C}$ to $20^{\circ} \mathrm{C}$. The molar specific heat...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
In a Young's double slit experiment, the intensity at some point on the screen is found to be $\frac{3}{4}$ times...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
The equation of motion of a particle is given by $x=a \sin (50 t+\pi / 3) \mathrm{cm}$. The particle will...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
The binding energy per nucleon of ${ }_{83}^{209} \mathrm{Bi}$ is $\_\_\_\_$ MeV . [Take $...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
A circular current loop of radius $R$ is placed inside square loop of side length $L(L ? R)$ such that...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
The figure given below shows an LCR series circuit with two switches $S_1$ and $S_2$. When switch $S_1$ is closed...
JEE MainPhysicsHard
View Solution
QJEE MAIN_2026
One side of an equilateral prism is painted by a transparent material of refractive index $n_2$. The refractive index of...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
Two point charges $8 \mu \mathrm{C}$ and $-2 \mu \mathrm{C}$ are located at $x=2 \mathrm{~cm}$ and $x=4 \mathrm{~cm}$, respectively on...
JEE MainPhysicsEasy
View Solution
QJEE MAIN_2026
Two metal plates $(A, B)$ are kept horizontally with separation of $\left(\frac{12}{\pi}\right) \mathrm{cm}$, with plate $A$ on the top. An...
JEE MainPhysicsMedium
View Solution
QJEE MAIN_2026
Two resistors of $200 \Omega$ and $400 \Omega$ are connected in series with a battery of 100 V . A...
JEE MainPhysicsEasy
View Solution
Check this project | Best Developer Portfolio