Question
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
✓
Answer
Displacement from mean position
$=\mathrm{A}-\left(\frac{\sqrt{2}-1}{\sqrt{2}}\right) \mathrm{A}=\frac{\mathrm{A}}{\sqrt{2}}$
So phase of the particle which is going towards
$+x$ is $\phi_{1}=\frac{\pi}{4}$
and for other particle $\quad \phi_{2}=2 \pi-\pi / 4$
$=\frac{7 \pi}{4}$
Phase difference $=\frac{7 \pi}{4}-\frac{\pi}{4}=\frac{6 \pi}{4}=\frac{3 \pi}{2}$ or $\frac{\pi}{2}$
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 short bar magnet of magnetic moment $0.4\,\, J T^{-1}$ is placed in a uniform magnetic field of $0.16\, T.$ The magnet is in stable equilibrium when the potential energy is ....... $J$
→A $25\,cm$ long solenoid has radius $2\,cm$ and $500$ total number of turns. It carries a current of $15\,A.$ If it is equivalent to a magnet of the same size and magnetization $\vec M$ ( magnetic moment/ volume), then $\left| {\vec M} \right|$ is
→Select the outputs $Y$ of the combination of gates shown below for inputs $A = 0, B = 0; A = 1$, $B = 1$ and $A = 0, B = 1$ respectively
→Three infinitely long linear charges of charge density $\lambda $ , $\lambda $ and $-2\lambda $ are placed in space. A point in space is specified by its perpendicular distance $r_1 , r_2 $ and $ r_3$ respectively from the linear charges. For the points which are equipotential
→A tiny $0.50\, gm$ ball carries a charge of magnitude $10\, \mu C$. It is suspended by a thread in a downward electric field of intensity $300\, N/C$. If the charge on the ball is positive, then the tension in the string is
→The current voltage relation of a diode is given by $I=(e^{1000V/T} -1)mA$ where the applied voltage $V$ is in volts and the temperature $T$ is in degree kelvin. If a student makes an error measuring $±0.01\ V$ while measuring the current of $5\ mA$ at $300\ K$, what will be the error in the value of current in $mA?$
→A mass $M$, attached to a horizontal spring, executes S.H.M. with amplitude $A_1$. When the mass $M$ passes through its mean position then a smaller mass $m$ is placed over it and both of them move together with amplitude $A_2$. The ratio of $\frac{{{A_1}}}{{{A_2}}}$ is
→Two masses as shown are suspended from a massless pulley. Calculate the acceleration of the system when masses are left free
A constant force $F = m_2g/2$ is applied on the block of mass $m_1$ as shown in fig. The string and the pulley are light and the surface of the table is smooth. The acceleration of $m_1$ is
→At any instant the velocity of a particle of mass $500\,g$ is $\left(2 t \hat{ i }+3 t ^2 \hat{ j }\right)\,ms ^{-1}$. If the force acting on the particle at $t=1 s$ is $(\hat{i}+x \hat{j}) N$. Then the value of $x$ will be:
→