Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Simple Harmonic Motion question

2022 · Shift 2 · Q43
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Physics
  4. /Simple Harmonic Motion
  5. /2022 · Shift 2 · Q43

Simple Harmonic Motion question

2022 · Shift 2 · Q43

JEE AdvancedPhysicsSimple Harmonic MotionNumerical+3 / −1
On a frictionless horizontal plane, a bob of mass m=0.1 kgm=0.1 \mathrm{~kg}m=0.1 kg is attached to a spring with natural length l0=0.1 ml_{0}=0.1 \mathrm{~m}l0​=0.1 m. The spring constant is k1=0.009 Nm−1k_{1}=0.009 \,\mathrm{Nm}^{-1}k1​=0.009Nm−1 when the length of the spring l>l0l>l_{0}l>l0​ and is k2=0.016 Nm−1k_{2}=0.016 \,\mathrm{Nm}^{-1}k2​=0.016Nm−1 when l<l0l \lt l_{0}l<l0​. Initially the bob is released from l=0.15 ml=0.15 \mathrm{~m}l=0.15 m. Assume that Hooke's law remains valid throughout the motion. If the time period of the full oscillation is T=(nπ)sT=(n \pi) sT=(nπ)s, then the integer closest to nnn is ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Simple Harmonic Motion

  • A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude A about an equilibrium position x0. Consider two…2016 · Multiple correct
  • Two independent harmonic oscillators of equal masses are oscillating about the origin with angular frequencies ω 1 and ω 2 and have total energies E1 and E2, respectively. The variations of their momenta p with positions x… Includes diagram2015 · Multiple correct
  • A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and… Includes diagram2012 · MCQ
  • Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagram2011 · MCQ
  • Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagram2011 · MCQ
  • Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagram2011 · MCQ
  • A wooden block performs SHM on a frictionless surface with frequency, v0​. The block carries a charge +Q on its surface . If now a uniform electric field E is switched- on as shown, then the SHM of the block… Includes diagram2011 · MCQ
  • A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, x1​(t)=Asinωt and x2​(t)=Asin(ωt+32π​). Adding a third…2011 · MCQ