MCQ
Two bodies performing $SHM$ have same amplitude and frequency. Their phases at a certain instant are as shown in the figure. The phase difference between them is
- ✓$\frac{{2\pi }}{3}$
- B$\pi $
- C$\frac{\pi }{3}$
- DNone of these
✓
Answer
Correct option: A.
$\frac{{2\pi }}{3}$
a
Displacement form mean position
Displacement form mean position
$=\mathrm{A}-\left(\frac{2-\sqrt{3}}{2}\right) \mathrm{A}=\frac{\sqrt{3}}{2} \mathrm{A}$
So phase of the particle which is going
towards $+x$ is $\phi_{1}=\frac{\pi}{3}$
and for other particle $\phi_{2}=2 \pi-\frac{\pi}{3}=\frac{5 \pi}{3}$
phase difference $=\frac{5 \pi}{3}-\frac{\pi}{3}$
$=\frac{4 \pi}{3}$ or $\left(2 \pi-\frac{4 \pi}{3}\right)$
$=\frac{4 \pi}{3}$ or $\frac{2 \pi}{3}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A satellite of $10^3 \ kg$ mass is revolving in circular orbit of radius $2 R .$ If $\frac{10^4 R }{6} J$ energy is supplied to the satellite, it would revolve in a new circular orbit of radius : $($use $g =10\ m / s ^2, R =$ radius of earth$)$
→If a particle is moving on a circular path with constant speed, then the angle between the direction of acceleration and its position vector w.r.t. centre of circle will be ............
Figure shows the isotherms of a fixed mass of an ideal gas at three temperatures $T_A, T_B$ and $T_C$, then
→Four closed surfaces and corresponding charge distributions are shown below
→Let the respective electric fluxes through the surfaces be ${\phi _1},{\phi _2},{\phi _3}$ and ${\phi _4}$ . Then
Electromagnetic wave of intensity $1400\, W/m^2$ falls on metal surface on area $1.5\, m^2$ is completely absorbed by it. Find out force exerted by beam
→Speed of sound in mercury at a certain temperature is $1450 \,m/s$. Given the density of mercury as $13.6 × 10^3 kg / m^3$, the bulk modulus for mercury is
→A block of mass $2\, kg$ is placed on a rough inclined plane as shown in the figure $(\mu = 0.2)$ so that it just touches the spring. The block is allowed to move downwards. The spring will be compressed to a maximum of .............. $\mathrm{cm}$
→$A$ hollow sphere of radius $R$ and mass $m$ is fully filled with water of mass $m$. It is rolled down a horizontal plane such that its centre of mass moves with a velocity $v$. If it purely rolls
→A large glass slab $(\mu=5 / 3)$ of thickness $8 \mathrm{~cm}$ is placed over a point source of light on a plane surface. It is seen that light emerges out of the top surface of the slab from a circular area of radius $\mathrm{Rcm}$. What is the value of $\mathrm{R}$ ?
→If $I = 50\,kg-m^2$ , then ......... $N-m$ torque will be applied to stop it in $10\,sec$ . Its initial angular speed is $20\,rad/sec$
→