Oscillations & Waves — Hard Difficulty (50 Questions | 45 Minutes)

Practice 100 questions on Oscillations & Waves — Hard Difficulty (50 Questions | 45 Minutes). Includes: In SHM with $x = A\cos(\omega t)$, the time spent by…; A uniform rope of mass $m$ and length $L$ hangs from a…; A particle executes SHM. Its displacement is $x =…. Free quiz on NoteTube.

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  1. 1.

    A mass $m = 1$ kg hangs from a spring of constant $k = 100$ N/m. The mass is pulled down 5 cm from equilibrium and released. Find the amplitude, time period, and maximum acceleration.

  2. 2.

    A particle executes SHM. Its displacement is $x = A\sin(\omega t + \pi/6)$. At $t = 0$, the velocity is:

  3. 3.

    In SHM with $x = A\cos(\omega t)$, the time spent by the particle between $x = A/2$ and $x = A$ in each complete oscillation is:

  4. 4.

    A uniform rope of mass $m$ and length $L$ hangs from a ceiling. The speed of a transverse wave at a distance $x$ from the lower end is:

  5. 5.

    A pendulum of length 1 m is placed in a truck accelerating horizontally at $5$ m/$s^{2}$. The time period of the pendulum (in s) is ($g = 10$ m/$s^{2}$):

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