Self Studies

Oscillations Te...

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  • Question 1
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    A body of mass 100 gm is suspended from a spring of force constant 50 N/m. The maximum acceleration produced in the spring is:

  • Question 2
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    Restoring force in the SHM is

  • Question 3
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    Due to some force $$F_1$$, a body oscillates with period 4/5 second and due to other force $$F_2$$  it oscillates with the period of 3/5 sec. If both forces act simultaneously new period will be

  • Question 4
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    A particle executes simple harmonic motion with frequency 2.5 Hz and amplitude 2 m. The speed of the particle 0.3 s after crossing the equilibrium position is:

  • Question 5
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    Statement 1: The graph between velocity and displacement for a harmonic oscillator is an ellipse.

    Statement 2: Velocity does not change uniformly with displacement in harmonic motion.

  • Question 6
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    A mass is suspended separately by two springs of spring constant $$k_{1}$$ and $$k_{2}$$ in successive order. The time periods of oscillations in the two cases are $$T_{1}$$ and $$T_{2}$$ respectively. If the same mass be suspended by connecting the two springs in parallel $$($$as shown in figure$$)$$ then the time period of oscillations is $$T.$$ The correct relation is

  • Question 7
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    A simple harmonic oscillator has an acceleration of $$1.25\ m/s^{2}$$ at $$5\ cm$$ from the equilibrium. Its period of oscillation is:

  • Question 8
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    A particle moves in a circular path with a uniform speed. Its motion is:

  • Question 9
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    Statement 1: In simple harmonic motion, the motion is to and fro and periodic.

    Statement 2: Velocity of the particle $$(v) = \omega\sqrt{k^2 - x^2}$$ (where $$x$$ is the displacement).

  • Question 10
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    A particle of mass 2 kg moves in simple harmonic motion and its potential energy U varies with position x as shown. The period of oscillation of the particle is:

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