>
Exams
>
Physics
>
Simple Harmonic Motion
>
a particle executes linear simple harmonic motion
Question:
A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
NEET (UG) - 2017
NEET (UG)
Updated On:
May 21, 2024
\(\frac {\sqrt 5}{\pi}\)
\(\frac {\sqrt 5}{2\pi}\)
\(\frac {4\pi}{\sqrt 5}\)
\(\frac {2\pi}{\sqrt 3}\)
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct option is (C):
\(\frac {4\pi}{\sqrt 5}\)
.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Simple Harmonic Motion
The escape velocity of a body from a planet of mass \(M\) and radius \(R\) is 14 km/s. The escape velocity of the body from another planet having same mass and diameter \(8R\) (in km/s) is
AP EAPCET - 2025
Physics
Simple Harmonic Motion
View Solution
The amplitude of a damped harmonic oscillator becomes 50% of its initial value in a time of 12 s. If the amplitude of the oscillator at a time of 36 s is \(x%\) of its initial amplitude, then the value of \(x\) is
AP EAPCET - 2025
Physics
Simple Harmonic Motion
View Solution
If the potential energy of a particle of mass \(0.1 \, \text{kg}\) moving along the x-axis is \(5x(x - 4)\), then the speed of the particle is maximum at a position of:
AP EAPCET - 2025
Physics
Simple Harmonic Motion
View Solution
A particle is executing simple harmonic motion with amplitude \( A \). The ratio of the kinetic energies of the particle when it is at displacements of \( \frac{A}{4} \) and \( \frac{A}{2} \) from the mean position is:
AP EAPCET - 2025
Physics
Simple Harmonic Motion
View Solution
A body of mass \( 4 \) kg attached to a spring of force constant \( 64 \) N/m executes simple harmonic motion on a frictionless horizontal surface. The time period of oscillation is:
AP EAPCET - 2025
Physics
Simple Harmonic Motion
View Solution
View More Questions
Questions Asked in NEET exam
A microscope has an objective of focal length \(f_o = 2\) cm and an eyepiece of focal length \(f_e = 4\) cm. The tube length of the microscope is \(L = 40\) cm. If the distance of distinct vision of eye is \(D = 25\) cm, the magnification in the microscope is:
NEET (UG) - 2025
Optical Instruments
View Solution
Which one of the following is an example of ex-situ conservation?
NEET (UG) - 2025
Ex-Situ Conservation
View Solution
Which one of the following compounds can exist as cis-trans isomers?
NEET (UG) - 2025
Organic Chemistry
View Solution
Who proposed that the genetic code for amino acids should be made up of three nucleotides?
NEET (UG) - 2025
Molecular Biology
View Solution
An electron (mass \(9 \times 10^{-31}\) kg and charge \(1.6 \times 10^{-19}\) C) moving with speed \(c/100\) (\(c\) = speed of light) is injected into a magnetic field of magnitude \(9 \times 10^{-4}\) T perpendicular to its direction of motion. We wish to apply a uniform electric field \( \vec{E} \) together with the magnetic field so that the electron does not deflect from its path. (speed of light \(c = 3 \times 10^8\) m/s):
NEET (UG) - 2025
Electric Field
View Solution
View More Questions