A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then, its time period of vibration will be (a) (β²)/(α) (b) (2πβ)/(α) (c) (β²)/(α²) (d) (α)/(β)

Answer: (b). α = Aω², β = Aω ω = (α)/(β) T = (2π)/(ω) = (2πβ)/(α) So the answer is (b) (2πβ)/(α).

A particle is executing a simple harmonic motion. Its maximum… | NEET 2015 (AIPMT)

Q71NEET 2015 · AIPMTEasy

Velocity & Acceleration in SHM

A particle is executing a simple harmonic motion. Its maximum acceleration is $\alpha$ and maximum velocity is $\beta$ . Then, its time period of vibration will be

Show answer and solution

Answer: (b)

$\alpha = A\omega^2$ , $\beta = A\omega$
$\omega = \frac{\alpha}{\beta}$
$T = \frac{2\pi}{\omega} = \frac{2\pi\beta}{\alpha}$
So the answer is (b) $\frac{2\pi\beta}{\alpha}$ .

Report a mistake

More questions on Velocity & Acceleration in SHM

A particle is executing SHM along a straight line. Its velocities at distances x1 and x2…NEET 2015 (AIPMT, Cancelled Paper)
The oscillation of a body on a smooth horizontal surface is represented by the equation…NEET 2014 (AIPMT)
A particle of mass m oscillates along x-axis according to equation x = asin ω t. The…NEET 2013
A mass m = 1.0 kg is put on a flat pan attached to a vertical spring fixed on the ground…JEE Main 2013 (22 Apr, Shift 1)
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and…NEET 2009 (AIPMT)
If x, v and a denote the displacement, the velocity and the acceleration of a particle…JEE Main 2009 (AIEEE)
- 1 Two simple harmonic motions of angular frequency 100 and 1000 rad s have the same…NEET 2008 (AIPMT)
The phase difference between the instantaneous velocity and acceleration of a particle…NEET 2007 (AIPMT)

Velocity & Acceleration in SHM question from NEET 2015 (AIPMT)

More questions on Velocity & Acceleration in SHM