Oscillations, Waves and Sound - Undamped Free Oscillations MCQ- types of equilibria,linear Simple Harmonic Motion : Link1

Undamped Free Oscillations MCQ & Answers

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Q.1. Which one of the following Statement is true.

A. The maximum velocity of the oscillator depends on amplitude and angular frequency.
B. When the mass of the oscillator is increased, the period of oscillator decreases.
C. When the oscillator passes through equilibrium position, its kinetic energy will be minimum.
D. When a spring of force constant k cut into two equal parts, the force constant of each part will be less than k.

Q.2. A particle executes Simple Harmonic Motion of amplitude a. At what distance from the mean position, its kinetic energy is equal to its potential energy?

A. 0.51 a B. 0.61 a
C. 0.71 a D. 0.81 a

Q.3. A particle is vibrating in S.H.M. with an amplitude of 4 cm. at what displacement from the equilibrium position is its energy half potential and half kinetic energy?

A. 2.5 cm

$B. \:\:2\sqrt{2} \:\:cm$

C. 3 cm
D. 2 cm

Q.4. The time period of a spring pendulum is----------

$A. \:\: 2 \pi\sqrt\frac{m}{k}$

$B. \:\:2 \pi\sqrt\frac{2m}{k}$

$C. \:\:2 \pi\sqrt\frac{k}{m}$

$D. \:\:2 \pi\sqrt\frac{2k}{m}$

Q.5. The equation of displacement of particle performing Simple Harmonic Motion is x = 0.25 sin (200 t) in SI units. The maximum velocity is--------

A. 100 m/s B. 200 m/s
C. 50 m/s D. 150 m/s

Q.6. A particle executing a vibratory motion while passing through the mean position has---------

A. maximum P.E. and minimum K.E.
B. maximum K.E. and minimum P.E.
C. P.E. and K.E. maximum
D. P.E. and K.E. minimum

Q.7. The kinetic energy of a particle executing Simple Harmonic Motion is 16 J when it is at its mean position. If the mass of the particle is 0.32 kg, then what is the maximum velocity of the particle?

A. 5 m/s B. 15 m/s
C. 10 m/s D. 20 m/s

Q.8. The frequency of oscillations of particle is 0.2 Hz. Its time period is-----

A. 10 s B. 5 s
C. 0.5 s D. 2 s

Q.9. A particle is executing simple harmonic motion with an amplitude a. When its kinetic energy is equal to its potential energy, its distance from the mean position-------

$A. \:\:\frac{a}{2}$

$B. \:\:\frac{a}\sqrt{2}$

$C. \:\:\frac{a}\sqrt{3}$

$D. \:\:\frac{a}{3}$

Q.10. When particle moves from extreme position to mean position, its -------

A. kinetic energy increases, potential energy decreases
B. kinetic energy decreases, potential energy increases
C. both remains constant
D. potential energy becomes zero and kinetic energy remains constant

Physics : Oscillations, Waves and Sound - Undamped Free Oscillations