Download App

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

Gujarat BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
Two blocks which are connected to each other by means of a massless string are placed  on two inclined planes as shown in figure. After releasing from rest, the magnitude of  acceleration of the centre of mass of both the blocks is $(g = 10\, m/s^2)$
  • A
    $1 \,m/s^2$
  • ✓
    $\frac{1}{\sqrt 2}\,m/s^2$
  • C
    $\sqrt 2 \,m/s^2$
  • D
    Zero
✓

Answer

Correct option: B.
$\frac{1}{\sqrt 2}\,m/s^2$
b
$a_{1}=a_{2}=\frac{m g \sin 53^{\circ}-\operatorname{mg} \sin 37^{\circ}}{2 m}=\frac{g}{10}=1 \mathrm{m} / \mathrm{s}^{2}$

$a_{c m}=\frac{m \sqrt{a_{1}^{2}+a_{2}^{2}}}{2 m}=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}} \mathrm{m} / \mathrm{s}^{2}$

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 equation can be written as $P=\frac{\rho R T}{M_{0}}$ where $\rho$ and $M_{0}$ are respectively,
→
Ram moves in east direction at a speed of $6 \,m / s$ and Shyam moves $30^{\circ}$ east of north at a speed of $6 \,m / s$. The magnitude of their relative velocity is ........ $m / s$
→
The pressure that has to be applied to the ends of a steel wire of length $10\ cm$ to keep its length constant when its temperature is raised by $100^o C$ is: (For steel Young's modulus is $2 \times 10^{11}$ $Nm^{-1}$ and coefficient of thermal expansion is $1.1 \times 10^{-5}$ $K^{-1}$ )
→
A bomb is projected with $200\,m/s$ at an angle $60^o$ with horizontal. At the highest  point, it explodes into three particles of equal masses. One goes vertically upward with  velocity $100\,m/sec$, second particle goes vertically downward with the same velocity as  the first. Then what is the velocity of the third one-
→
A body is projected from earth's surface to become its satellite. Its time period of revolution will not depend upon:
→
A ring of diameter $2m$ oscillates as a compound pendulum about a horizontal axis passing through a point at its rim. It oscillates such that its centre move in a plane which is perpendicular to the plane of the ring. The equivalent length of the simple pendulum is .... $m$
→
Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first and third plates are maintained at temperatures $2\ T$ and $3\ T$ respectively. The temperature of the middle ($i.e.$ second) plate under steady state condition is
→
A boy walks uniformally along the sides of a rectangular park of size $400\, m × 300\, m$, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect
→
Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K, T_2 = 800\, K, T_3 = 2400\,K$ and $T_4 = 1200\,K.$ The work done by the gas during the cycle is ........ $kJ$
→
A cylinder of mass $1\,kg$ is given heat of $20000\, J$ at atmospheric pressure. If initially temperature of cylinder is $20\,^oC$, then work done by the cylinder will be .......$J$ (Given that Specific heat of cylinder $= 400 \,J\, kg^{-1}$, Coefficient of volume expansion $= 9 \times {10^{-5}}\,^o C^{-1}$, Atmospheric pressure $= 10^5 \,N/m^2$ and density of cylinder $9000\,kg/m^3$)
→