Download App

6. system of particles and rotational motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively $\left( k _{\text {sph }}: k _{ cyl }\right)$ is $2: \sqrt{ x }$, then value of $x$ is .............
  • ✓
    $5$
  • B
    $10$
  • C
    $15$
  • D
    $20$
✓

Answer

Correct option: A.
$5$
a
For solid sphere $\frac{2}{5} mR ^2= mk _{ mph }^2$

$k _{ sph }=\sqrt{\frac{2}{5}} R$

For solid cylinder $\frac{ mR ^2}{2}= mk _{ cyl }^2$

$\Rightarrow k _{ cyl }=\frac{ R }{\sqrt{2}}$

$\frac{ k _{ rph }}{ k _{ cyl }}=\frac{\sqrt{\frac{2}{5}}}{\frac{1}{\sqrt{2}}}=\frac{2}{\sqrt{5}}=\frac{2}{\sqrt{ x }}$

$\therefore x =5$

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→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Can we boil water inside the earth satellite by convection
→
At high altitude, a body explodes at rest into two equal fragments with one fragment receiving horizontal velocity of $10 \,m/s$. Time taken by the two radius vectors connecting point of explosion to fragments to make $90^o $ is ............ $\mathrm{s}$
→
A player caught a cricket ball of mass $150\ g$ moving at a rate of $20\ m/s$.If the catching process is completed in $0.1\ s $, the force of the blow exerted by the ball on the hand of the player is equal to  .......... $N$
→
The value of $\frac{T_3}{T_1}$ is .............
→
Match List$- I$ with List$- II.$

$[Image]$

Choose the correct answer from the options given below :

→
If the volume of the given mass of a gas is increased four times, the temperature is raised from $27°C$ to $127°C.$ The elasticity will become
→
If the compressibility of water is $\sigma $ per unit atmospheric pressure, then the decrease in volume $V$ due to $P$ atmospheric pressure will be
→
When a disc rotates with uniform angular velocity, which of the following is not true?
→
$5$ moles of oxygen is heated at constant volume from $10°C$ to $20°C.$ The change in the internal energy of the gas is (the gram molecular specific heat of oxygen at constant pressure...... $cal$ ${C_p} = 8$ $cal/mole \,°C$ and $R = 8.3 cal/mole\, °C)$
→
Two wires A and B, having identical geometrical construction, are stretched from their natural length by small but equal amount. The Young's modulus of the wires are YA and YB whereas the densities are $\rho_\text{A}>\rho_{\text{B}^+}$  It is given that YA > YB and $\rho_\text{A}>\rho_{\text{B}^+}.$ A transverse signal started at one end takes a time t1 to reach the other end for A and t2 for B.
  1. t1 < t2
  2. t1 = t2
  3. t1 > t2
  4. The information is insufficient to find the relation betwee t1 and t2.
→