The maximum displacement of a particle executing S.H.M. corresponds to__________________?

Related Mcqs:

1. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?

   A. 1.00 m/sec
   B. 1.57 m/sec
   C. 3.14 m/sec
   D. 6.28 m/sec

2. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

   A. proportional to A
   B. proportional to A2
   C. proportional to 1/A2
   D. independent of A

3. One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is___________________?

   A. a simple harmonic motion
   B. a rectilinear motion with constant speed
   C. a damped oscillatory motion
   D. none of the above

4. A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?

   A. 4.5 J
   B. 9.0 J
   C. 12.0 J
   D. 18.0 J

5. A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?

   A. 6 m/sec
   B. 12 m/sec
   C. 24 m/sec
   D. 48 m/sec

6. If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to_________________?

   A. A
   B. A/2
   C. A/V2
   D. AV2

7. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by__________________?

   A. 1:2
   B. 1:1
   C. 2:1
   D. 3:1

8. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________?

   A. log r
   B. r
   C. r2
   D. 1/r

   where r is the distance of’the particle from centre of the earth

9. A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is____________________?

   A. 0.5 m
   B. 0.75 m
   C. 1.0 m
   D. 1.5 m

10. The angles between two forces to make their resultant a minimum and a maximum respectively are__________________?

    A. 0° and 90°
    B. 180° and 90°
    C. 90° and 180°
    D. 180° and 0°