Question:
A particle, doing simple harmonic motion, at a distance \(3\,cm\) from mean position has acceleration \(12\,cm/s^2\). What is its time period?
A particle, doing simple harmonic motion, at a distance \(3\,cm\) from mean position has acceleration \(12\,cm/s^2\). What is its time period?
Show Hint
Use \( a = \omega^2 x \) to directly find angular frequency in SHM.
Updated On: Apr 16, 2026
- \(0.5\,s\)
- \(1\,s\)
- \(2\,s\)
- \(3.14\,s\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
In SHM:
\[
a = \omega^2 x
\]
Step 1: Substitute values.
\[ 12 = \omega^2 \cdot 3 \Rightarrow \omega^2 = 4 \Rightarrow \omega = 2 \]
Step 2: Find time period.
\[ T = \frac{2\pi}{\omega} = \frac{2\pi}{2} = \pi = 3.14\,s \]
Step 1: Substitute values.
\[ 12 = \omega^2 \cdot 3 \Rightarrow \omega^2 = 4 \Rightarrow \omega = 2 \]
Step 2: Find time period.
\[ T = \frac{2\pi}{\omega} = \frac{2\pi}{2} = \pi = 3.14\,s \]
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 Wave characteristics Questions
- Comparing $y = a \sin(\omega t - kx)$ with $y = 0.1 \sin(100\pi t - kx)$, the angular velocity $\omega$ is:
- The frequency of a light wave in a material is \( 2 \times 10^{14} \,\text{Hz} \) and wavelength is \( 5000 \,\text{\AA} \). The refractive index of material is:
- The displacement of a particle is given by $x = 3 \sin(5\pi t) + 4 \cos(5\pi t)$. The amplitude of particle is:
- Which of the following is a longitudinal wave?
- A source of frequency 500 Hz emits waves of wavelength 0.4 m. How long does it take the wave to travel 600 m?
View More Questions
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