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

2009 · Q169
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. /2009 · Q169

Oscillations question

2009 · Q169

NEETPhysicsOscillationsMCQ+4 / −1
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be
  1. A
    πaT{{\pi a} \over T}Tπa​
  2. B
    3π2aT{{3{\pi ^2}a} \over T}T3π2a​
  3. C
    πa3T{{\pi a\sqrt 3 } \over T}Tπa3​​
  4. D
    πa32T{{\pi a\sqrt 3 } \over {2T}}2Tπa3​​
View written solutionFree

Correct answer: C

Speed v=ωa2−x2,x=a2v = \omega \sqrt {{a^2} - {x^2}} ,x = {a \over 2}v=ωa2−x2​,x=2a​

∴\therefore∴ v=ωa2−a24=ω3a24v = \omega \sqrt {{a^2} - {{{a^2}} \over 4}} = \omega \sqrt {{{3{a^2}} \over 4}} v=ωa2−4a2​​=ω43a2​​

=2πTa32=πa3T = {{2\pi } \over T}{{a\sqrt 3 } \over 2} = {{\pi a\sqrt 3 } \over T}=T2π​2a3​​=Tπa3​​

PreviousNext

More from Oscillations

  • Which one of the following equations of motion represents simple harmonic motion ? where k, k0, k1 and a are all positive.2009 · MCQ
  • Two simple harmonic motions of angular frequency 100 and 1000 rad s−1 have the same displacement amplitude. The ratio of their maximum acceleration is2008 · MCQ
  • A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is2007 · MCQ
  • A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic… Includes diagram2007 · MCQ
  • The particle executing simple harmonic motion has a kinetic energy K0cos2ωt. The maximum values of the potential energy and the total energy are respectively2007 · MCQ
  • The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is2007 · MCQ
  • A rectangular block of mass m and area of cross-section A floats in a liquid of density ρ. If it is given a small vertical displacement from equilibrium it undergoes with a time period T, then2006 · MCQ
  • The circular motion of a particle with constant speed is2005 · MCQ