A solid cylinder is released from rest from the top of an incline… - Vidyadip

MCQ

A solid cylinder is released from rest from the top of an inclined plane of inclination $30^{\circ}$ and length $60\,cm$. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is $...........ms ^{-1}$. (Given $g =10\,ms ^{-2}$)

A
$3$
✓
$2$
C
$4$
D
$8$

✓

Answer

Correct option: B.

$2$

b
$v=\sqrt{\frac{2 g h}{1+\frac{k^2}{R^2}}}$

Where $h=60 \sin 30^{\circ}=30\,cm$

$k^2=\frac{R^2}{2}$

$v=2\,ms ^{-1}$

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

More "M.C.Q (1 Marks)" from 6. system of particles and rotational motion→6. system of particles and rotational motion — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

An ideal gas filled in a cylinder occupies volume $V$. The gas is compressed isothermally to the volume $V/3$. Now, the cylinder valve is opened and the gas is allowed to leak keeping temperature same. What percentage of the number of molecules should escape to bring the pressure in the cylinder back to its original value?

At which of the following temperatures the value of surface tension of water is minimum?

A curved in a level road has a radius $75\, m$. The maximum speed of a car turning this curved road can be $30 \,m / s$ without skidding. If radius of curved road is changed to $48\, m$ and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be .........$m / s$.

A projectile crosses two walls of equal height $H$ symmetrically as shown The angle of projection of the projectile is

Which of the following systems of units is not based on units of mass, length and time alone?

Which of the following represents a $volt$

A man measures time period of a pendulum $(T)$ in stationary lift. If the lift moves upward with acceleration $\frac{g}{4},$ then new time period will be

For an ideal gas the instantaneous change in pressure $'{p} '$ with volume $'v'$ is given by the equation $\frac{{dp}}{{dv}}=-{ap} .$ If ${p}={p}_{0}$ at ${v}=0$ is the given boundary condition, then the maximum temperature one mole of gas can attain is :

(Here ${R}$ is the gas constant)

The force required to punch a square hole $2\,cm$ side in steel sheet $2\,mm$ thick is (shearing stress of steel sheet $= 3.5\times 10^8\,\,N/m^2$ )

Three identical adiabatic containers $A, B$ and $C$ contain helium, neon and oxygen respectively at equal pressure. The gases are pushed to half their original volumes.

The final temperatures in the three containers will be the same.
The final pressures in the three containers will be the same.
The pressures of helium and neon will be the same but that of oxygen will be different.
The temperatures of helium and neon will be the same but that of oxygen will be different.