Question:
Two particles execute SHM with same amplitude and frequency. When displacement is half amplitude, find phase difference.
Two particles execute SHM with same amplitude and frequency. When displacement is half amplitude, find phase difference.
Show Hint
Same displacement + opposite motion $\Rightarrow$ take supplementary angles.
Updated On: Apr 23, 2026
- \(30^\circ\)
- \(60^\circ\)
- \(90^\circ\)
- \(120^\circ\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
\[
x = A\sin\theta
\]
Step 1: Given displacement
\[ \frac{x}{A} = \frac{1}{2} \Rightarrow \sin\theta = \frac{1}{2} \] \[ \theta = 30^\circ,\ 150^\circ \]
Step 2: Opposite directions
Particles have same displacement but opposite velocities. \[ \text{Phase difference} = 150^\circ - 30^\circ = 120^\circ \] Conclusion: \[ 120^\circ \]
Step 1: Given displacement
\[ \frac{x}{A} = \frac{1}{2} \Rightarrow \sin\theta = \frac{1}{2} \] \[ \theta = 30^\circ,\ 150^\circ \]
Step 2: Opposite directions
Particles have same displacement but opposite velocities. \[ \text{Phase difference} = 150^\circ - 30^\circ = 120^\circ \] Conclusion: \[ 120^\circ \]
Was this answer helpful?
0
0
Top MET Physics Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- A rope of mass $0.1\, kg$ is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At [he contact point between the rope and the wall, the rope makes an angle $ \theta =10^{\circ} $ with respect to horizontal. The tension in the rope at its midpoint between the walls is
- At great distances from an electric dipole, the electric field strength due to the dipole varies with the distance as
View More Questions
Top MET Waves and Oscillations Questions
- Fundamental frequency of an open pipe is $fₒ$. Fundamental frequency when it is half filled with water is
- A massless rod is suspended by two identical strings. A mass is hung at distance \(x\) from left. Fundamental frequency in AB equals 2nd harmonic in CD. Find \(BO\).
- Open organ pipe becomes closed. Find harmonic relation.
Top MET Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- $\int\limits_{0}^{8}| x -5| d x$ is equal to
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- Which of the following product is formed in the reaction $ CH_3MgBr {->[(i)CO_2][(ii)H_2O]} ? $
View More Questions