Oscillations, Waves and Sound - Undamped Free Oscillations Link-2

Oscillations, Waves and Sound - Undamped Free Oscillations MCQ- types of equilibria,linear Simple Harmonic Motion : Link2

Undamped Free Oscillations MCQ & Answers

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Q.1. If velocity of body is half the maximum velocity, then what is the distance from the mean position in terms of amplitude 'a' ?

A.\:\:\: \frac{\sqrt3}{2}\: a




B.\:\:\: \frac{a}{\sqrt2}




C. 2a

D. a

Q.2. The motion of a particle executing Simple Harmonic Motion is given by x = 0.01 sin 100 Π (t + 0.05), where x is in metres and t in second. The time period in second is --------.

A. 0.001                                                                B. 0.02
C. 0.1                                                           D. 0.2

Q.3. The potential energy of a particle in S.H.M. at a distance x from the equilibrium position is ------.

A.\:\:\: \frac{1}{2}\:m\omega^2\:x^2




B.\:\:\: \frac{1}{2}\:m\omega^2\:a^2




C.\:\:\: \frac{1}{2}\:m\omega^2\:(a^2-x^2)




   D. Zero

Q.4. The velocity of a particle performing simple harmonic motion, when it passes through its mean position is -----.

A. half of maximum
B. zero
C. minimum
D. maximum




Q.5. If a simple harmonic oscillator has got a displacement of 0.02 m and acceleration equal to 2.0 ms-2 at any time, then the angular frequency of the oscillator is equal to --------.

A. 10 rad s-1                                                      B. 0.1 rad s-1
C. 100 rad s-1                                                       D. 1 rad s-1

Q.6. A body is executing S.H.M. when the displacements from the mean position are 4 cm and 5 cm, the corresponding velocities of the body are 10 cm/s and 8 cm/s respectively. The time period of the oscillation is ---------.

A. 5 seconds
B. 3.14 seconds
C. 2 seconds
D. 6.28 seconds

Q.7. Two springs of constants k1 and k2 equal maximum velocities, when executing Simple Harmonic Motion. The ratio of their amplitudes of equal masses will be ---------.

A.\:\:\: \frac{k_1}{k_2}




B.\:\:\: \frac{k_2}{k_1}




C.\:\:\:{\left( \frac{k_1}{k_2} \right)}^\frac{1}{2}




D.\:\:\:{\left( \frac{k_2}{k_1} \right)}^\frac{1}{2}




Q.8. A particle executes S.H.M. with amplitude 0.5 cm and frequency 100 Hz. The maximum speed of particle will be -------.

A. π m/s                                                                      B. 5πX10-5 m/s
C. 0.5 m/s                                                                 D. 100π m/s

Q.9. When the maximum velocity and maximum acceleration of a body moving in a simple harmonic oscillator are 2 m/s and 4 m/s2 then the angular velocity is -------

A. 1 rad/s
B. 2 rad/s
C. 4 rad/s
D. 5 rad/s



Q.10. The unit of force constant is -------

A. Nm
B.N/kg
C. N kg
D. N/m