Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Oscillations question

2015 · Q117
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Oscillations
  5. /2015 · Q117

Oscillations question

2015 · Q117

NEETPhysicsOscillationsMCQ+4 / −1
A particle is executing a simple harmonic motion. Its maximum acceleration is α\alphaα and maximum velocity is β\betaβ. Them, its time period of vibration will be
  1. A
    β2α{{{\beta ^2}} \over \alpha }αβ2​
  2. B
    2πβα{{2\pi \beta } \over \alpha }α2πβ​
  3. C
    β2α2{{{\beta ^2}} \over {{\alpha ^2}}}α2β2​
  4. D
    αβ{\alpha \over \beta }βα​
View written solutionFree

Correct answer: B

As, we know, in SHM
Maximum acceleration of the particle, α\alpha α = Aω2\omega ^2ω2
Maximum velocity, β\beta β = Aω\omega ω

⇒ω=αβ \Rightarrow \omega = {\alpha \over \beta }⇒ω=βα​

⇒T=2πω=2πβα \Rightarrow T = {{2\pi } \over \omega } = {{2\pi \beta } \over \alpha }⇒T=ω2π​=α2πβ​   [∵ω=2πT]\left[ \because {\omega = {{2\pi } \over T}} \right][∵ω=T2π​]

PreviousNext

More from Oscillations

  • When two displacements represented by y1 = a sin(ωt) and y2 = b cos(ωt) aresuperimposed the motion is2015 · MCQ
  • A particle is executing SHM along a straight line. Its velocities at distances x1 and x2 from the mean position are V1 and V2 respectively. Its time period is2015 · MCQ
  • The oscillation of a body on a smooth horizontal surface is represented by the equation, X = A cos(ωt) where X = displacement at time t ω = frequency of oscillation Which one of the following graphs shows…2014 · MCQ
  • A particle of mass m oscillates along x-axis according to equation x = asinωt. The nature of the graph between momentum and displacement of the particle is2013 · MCQ
  • Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean…2011 · MCQ
  • Out of the following functions representing motion of a particle which represents SHM (1) y = sinωt − cosωt (2) y = sin3ωt (3) y = 5cos(43π​−3ωt) (4) y = 1 + ωt + ω…2011 · MCQ
  • The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds to2010 · MCQ
  • The period of oscillation of a mass M suspended from a strong of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be2010 · MCQ