An equilateral triangle ABC formed from a uniform wire has two sm… - Vidyadip

MCQ

An equilateral triangle $ABC$ formed from a uniform wire has two small identical beads initially located at $A$. The triangle is set rotating about the vertical axis $AO$. Then the beads are released from rest simultaneously and allowed to slide down, one along $AB$ and the other along $AC$ as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down, are

A
Angular velocity and total energy (kinetic and potential)
✓
Total angular momentum and total energy
C
Angular velocity and moment of inertia about the axis of rotation
D
Total angular momentum and moment of inertia about the axis of rotation

✓

Answer

Correct option: B.

Total angular momentum and total energy

b
The $M I$ about the axis of rotation is not rotation is not constant as the perpendicular distance of the bead with the axis of rotation increases. Also since no external torque is acting, therefore,

$\tau_{e x t}=\frac{d L}{d t}$

$\Rightarrow L=\mathrm{constt.}$

$I \omega=\mathrm{constt.}$

since $l$ increases $\omega$ decreases.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

For $D_1$ forward bias resistance is $20\ Ohm$ and reverse bias resistance is $600\ Ohm$, For $D_2$ forward bias resistance is $30\ Ohm$ and reverse bias resistance is $200\ Ohm$. Find the equivalent resistance between $A$ and $B$ if $(i)A$ is at a higher potential $(ii) B$ is at a higher potential

The pressure applied from all directions on a cube is $P$. How much its temperature should be raised to maintain the original volume $?$ The volume elasticity of the cube is $\beta $ and the coefficient of volume expansion is $\alpha $

The maximum number of emission lines for atomic hydrogen that you would expect to see with naked eye if the only electronic levels involved are those shown in the figure, is

A proton and an anti-proton come close to each other in vacuum such that the distance between them is $10 \,cm$. Consider the potential energy to be zero at infinity. The velocity at this distance will be ........... $\,m / s$

Vessel $A$ is filled with hydrogen while vessel $B,$ whose volume is twice that of $A,$ is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen is

The effective capacity between $A$ and $B$ in the figure given is

A charge $q$ moves in a region where electric field and magnetic field both exist, then force on it is

For a certain gas, the ratio of specific heats is given to be $\gamma = 1.5$. For this gas

The current in an inductor is given by $\mathrm{I}=(3 \mathrm{t}+8)$ where $t$ is in second. The magnitude of induced emf produced in the inductor is $12 \mathrm{mV}$. The selfinductance of the inductor___________.$\mathrm{mH}$.

Two wires $‘A’$ and $‘B’$ of the same material have radii in the ratio $2 : 1$ and lengths in the ratio $4 : 1$. The ratio of the normal forces required to produce the same change in the lengths of these two wires is