11 PHYSICS PAPER OSCILLIATION

1.    The displacement of a particle is represented by the equation
The motion of the particle is

• (a) simple harmonic with period 2KUO
  

• (b) simple hannonic with period nia)
  

• (c) periodic but not simple harmonic
  

• (d) non-periodic

The displacement of a particle is represented by the equation y= sin³ ωtThe motion is

• (a) non-periodic

• (b) periodic but not simple harmonic

• (c) simple harmonic with period 2π/ω

• (d) simple harmonic with period π/ω

The relation between acceleration and displacement of four particles are given below:
              
Which one of the particle is exempting simple harmonic motion?

• (a) a_x = +2x    

•         (b) a_x = +2x²    

•     (c) a_x = -2x² 

•     (d) a_x = -2x

Motion of an oscillating liquid column in a U-tube is

• (a) periodic but not simple harmonic

• (b) non-periodic

• (c) simple harmonic and time period is independent of the density of the  liquid

• (d) simple harmonic and time period is directly proportional to the density of the liquid

A particle is acted simultaneously by mutually perpendicular simple harmonic motion x = a cos ωt and y = a sin ωt. The trajectory of motion of the particle will be

• (a) an ellipse

• (b) a parabola

• (c) a circle

• (d) a straight line

The displacement of a particle varies with time according to the relation
y = a sint + b cost

• (a) The motion is oscillatory but not SHM

• (b) The motion is SHM with amplitude a + b

• (c) The motion is SHM with amplitude a² + b²

• 
  (d) The motion is SHM with amplitude √a² + b²

Four pendulums A, B, C and D are suspended from the same elastic support as shown in figure. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement,

• (a) D will vibrate with maximum amplitude

• (b) C will vibrate with maximum amplitude

• (c) B will vibrate with maximum amplitude

• (d) All the four will oscillate with equal amplitude

A particle executing SHM has a maximum speed of 30 cm/s and a maximum acceleration of 60 cm/s². The period of oscillation is

• (a) sec

• (b) /2 sec

• (c) 2 sec

• (d) /t

The rotation of earth about its axis is

• (a) periodic motion

• (b) simple harmonic motion

• (c) periodic but not simple harmonic motion

• (d) non-periodic motion

. A body is performing SHM, then its

                                                                        
                                    

• (a) average total energy per cycle is equal to its maximum kinetic energy

• (b) average kinetic energy per cycle is equal to half of its maximum kinetic energy 

• (c) mean velocity over a complete cycle is equal to 2/π times of its maximumvelocity     

• (d) root mean square velocity is 1/√2 times of its maximum velocity