InterviewSolution
Saved Bookmarks
InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If an object moves back and forth repeatedly around a mean position it is calledA. oscillatingB. revolvingC. rotatingD. motion |
|
Answer» A. oscillating |
|
| 2. |
As amplitude of resonant vibrations decreases, degree of dampingA. increasesB. remains sameC. decreasesD. varies |
|
Answer» C. decreases |
|
| 3. |
An oscillator is subjected to a damping force that is proportional to its velocity. A sinusoidal force is applied to it. After a long time: A. its amplitude is an increasing function of time B. its amplitude is a decreasing function of time C. its amplitude is constant D. its amplitude is a decreasing function of time only if the damping constant is large E. its amplitude increases over some portions of a cycle and decreases over other portions |
|
Answer» C. its amplitude is constant |
|
| 4. |
For an oscillator subjected to a damping force proportional to its velocity: A. the displacement is a sinusoidal function of time. B. the velocity is a sinusoidal function of time. C. the frequency is a decreasing function of time. D. the mechanical energy is constant. E. none of the above is true. |
|
Answer» E. none of the above is true. |
|
| 5. |
In cars, springs are damped byA. shock absorbersB. engineC. tyresD. brake pedals |
|
Answer» A. shock absorbers |
|
| 6. |
If a simple harmonic oscillator has got a displacement of 0.02m and acceleration equal to 2m/s^2 at any time, the angular frequency of the oscillator is equal to ___________(a) 10 rad/s(b) 0.1 rad/s(c) 100 rad/s(d) 1 rad/s |
|
Answer» The correct option is (a) 10 rad/s The best explanation: a=-ω^2 y ω^2=a/y=2/0.02=100 ω=10rad/s. |
|
| 7. |
In simple harmonic motion, the displacement is maximum when the: A. acceleration is zero B. velocity is maximum C. velocity is zero D. kinetic energy is maximum E. momentum is maximum |
|
Answer» C. velocity is zero |
|
| 8. |
In simple harmonic motion: A. the acceleration is greatest at the maximum displacement B. the velocity is greatest at the maximum displacement C. the period depends on the amplitude D. the acceleration is constant E. the acceleration is greatest at zero displacement |
|
Answer» A. the acceleration is greatest at the maximum displacement |
|
| 9. |
An object is undergoing simple harmonic motion. Throughout a complete cycle it: A. has constant speed B. has varying amplitude C. has varying period D. has varying acceleration E. has varying mass |
|
Answer» D. has varying acceleration |
|
| 10. |
When a body executes simple harmonic motion, its acceleration at the ends of its path must be: A. zero B. less than g C. more than g D. suddenly changing in sign E. none of these |
|
Answer» E. none of these |
|
| 11. |
An oscillatory motion must be simple harmonic if: A. the amplitude is small B. the potential energy is equal to the kinetic energy C. the motion is along the arc of a circle D. the acceleration varies sinusoidally with time E. the derivative, dU/dx, of the potential energy is negative |
|
Answer» D. the acceleration varies sinusoidally with time |
|
| 12. |
The circular motion of a particle whose speed is constant is ________________(a) Periodic but not simple harmonic(b) Simple harmonic but not periodic(c) Periodic and simple harmonic(d) Neither periodic not simple harmonic |
|
Answer» Correct answer is (a) Periodic but not simple harmonic The explanation is: Uniform circular motion is a periodic motion but not simple harmonic. |
|
| 13. |
Which of the following is a simple harmonic motion?(a) Particle moving in a circle with uniform speed(b) Wave moving through a string fixed at both ends(c) Earth spinning about its axis(d) Ball bouncing between two vertical walls |
|
Answer» Right option is (b) Wave moving through a string fixed at both ends The explanation: Wave moving through a string fixed at both ends has simple harmonic nature. |
|
| 14. |
Which one of the following represents simple harmonic motion?(a) Acceleration = kx(b) Acceleration = k0 x+k1 x^2(c) Acceleration = -k(x+a)(d) Acceleration = k(x+a) |
|
Answer» Correct answer is (c) Acceleration = -k(x+a) To explain: Acceleration = -kX, X = x+a Thus the acceleration is proportional to displacement and acts in its opposite direction. Hence, acceleration = -k(x+a) represents simple harmonic motion. |
|
| 15. |
A particle executes simple harmonic motion along the x-axis. The force acting on it is given by?(a) Acos(kx)(b) Ae^(-kx)(c) Akx(d) –Akx |
|
Answer» Correct answer is (d) –Akx The best explanation: F=-Akx implies that the force is proportional or displacement and acts in its opposite direction. So it represents simple harmonic motion. |
|
| 16. |
The particle executing simple harmonic motion has a kinetic energy K0 cos^2 ωt. The maximum values of the potential energy and the total energy are respectively ___________(a) Kc/2 and K0(b) K0 and K0(c) K0 and 2K0(d) 0 and 2K0 |
|
Answer» The correct option is (b) K0 and K0 For explanation: When kinetic energy is maximum, potential energy is zero and vice-versa. But Kinetic energy+ Potential energy = Total energy Maximum potential energy = Maximum kinetic energy = Total energy = K0. |
|
| 17. |
A particle oscillating in simple harmonic motion is: A. never in equilibrium because it is in motion B. never in equilibrium because there is always a force C. in equilibrium at the ends of its path because its velocity is zero there D. in equilibrium at the center of its path because the acceleration is zero there E. in equilibrium at the ends of its path because the acceleration is zero there |
|
Answer» D. in equilibrium at the center of its path because the acceleration is zero there |
|
| 18. |
In simple harmonic motion, the magnitude of the acceleration is: A. constant B. proportional to the displacement C. inversely proportional to the displacement D. greatest when the velocity is greatest E. never greater than g |
|
Answer» B. proportional to the displacement |
|
| 19. |
In simple harmonic motion, the magnitude of the acceleration is greatest when: A. the displacement is zero B. the displacement is maximum C. the speed is maximum D. the force is zero E. the speed is between zero and its maximum |
|
Answer» B. the displacement is maximum |
|
| 20. |
The amplitude and phase constant of an oscillator are determined by: A. the frequency B. the angular frequency C. the initial displacement alone D. the initial velocity alone E. both the initial displacement and velocity |
|
Answer» E. both the initial displacement and velocity |
|
| 21. |
The amplitude of any oscillator can be doubled by: A. doubling only the initial displacement B. doubling only the initial speed C. doubling the initial displacement and halving the initial speed D. doubling the initial speed and halving the initial displacement E. doubling both the initial displacement and the initial speed |
|
Answer» E. doubling both the initial displacement and the initial speed |
|
| 22. |
A mass m is vertically suspended from a spring of negligible mass; the system oscillates with a frequency n. What will be the frequency of the system, if a mass 4m is suspended from the same spring?(a) n/2(b) 4n(c) n/4(d) 2n |
|
Answer» Right choice is (a) n/2 Explanation: Here n=1/2π×√(k/m) n^‘=1/2π×√(k/4m)=n/2. |
|
| 23. |
A simple pendulum consists of a small ball tied to a string and set in oscillation. As the pendulum swings the tension force of the string is: A. constant B. a sinusoidal function of time C. the square of a sinusoidal function of time D. the reciprocal of a sinusoidal function of time E. none of the above |
|
Answer» E. none of the above |
|