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Chapter 7

Oscillations

Encircle the most appropriate answer among the following options

1.         What will be To and fro motion of a body about its mean position  called choose which one is correct:

(a) Linear motion        

(b) Rotatory motion

(c) Angular motion     

(d) Vibratory motion   

2.         Which is motion which repeats itself in equal intervals of time  choose which one is correct:

(a) Rotatory motion    

(b) Periodic motion  

(c) Oscillatory motion

(d) Translatory motion

3.         In SHM, the acceleration of a body is directly proportional to choose which one is correct:

(a) Applied force      

(b) Displacement

(c) Restoring force     

(d) Amplitude

4.         The law which derived in SHM by choose which one is correct:                                 

(a) Hook’s law          

(b) Ampere’s law

(c) Dalton’s law                                 

(d) Newton ‘s law

5.         The wave form of SHM is choose which one is correct:            

(a) Square wave        

(b) Sine wave

(c) Cosine wave         

(d) None of these

6.         The maximum distance of the vibrating body from the mean position is called choose which one is correct:

(a) Displacement

(b) Time period

(c) Frequency

(d) Amplitude

7.         The no of vibrations completed in 1 second is known choose which one is correct:

(a) Amplitude 

(b) Frequency

(c) Time period          

(d) Revolution

8,         The relation between time period and frequency is choose which one is correct:

(a) f = 2

(b) f =

(c) f =

(d) f =

9          The time taken to complete one revolution is called choose which one is correct:

(a) Frequency

(b) Time period

(c) Time         

(d) Displacement       

10. A force 20 N is applied on an elastic spring. If the extension produced in the spring is 10 cm, then what spring constant k will be choose which one is correct:

(a) 20 N/m      

(b) 40 N/m

(c) 10 N/m      

(d) 200 N/m

Il.         An example of SHM is choose which one is correct:                 

(a) Motion of earth around the sun    

(b) Motion of simple pendulum

(c) Motion of cricket ball        

(d)        None of these

12.       A body attached to a spring is pulled to a distance of 20 cm. If the spring constant k is 48 N/m then find the force applied choose which one is correct:

(a) 5.3 N         

(b) 9.6N

(c) 96 N          

(d) 192 N

13.       The main cause of an oscillatory motion of an elastic spring is choose which one is correct:

(a) Mass of the spring

(b) Weight of spring

(c) K.E of the spring   

(d) Restoring force of the spring

14.       The restoring force is directly proportional to the displacement within elastic limit, this is the statement of choose which one is correct:

(a) Hook’s law          

(b) Newton’s law

(c) Meld’s law 

(d) Youngs law

15.       The unit of frequency is choose which one is correct:  

(a) m/s

(b) Hz

(c) N/m           

(d) None of these

16.       A particle performing SHM has displacement equal to choose which one is correct:

(a) xo sin        

(b) xo cos

(c) X0 cos2     

(d) xo sin2

17.       Instantaneous acceleration of a system executing SHM is directed choose which one is correct:

(a) Towards the mean position

(b) Away from the mean position

(c) Perpendicular to the mean position upward

(d) Perpendicular to the mean position downward

18.       The angular speed of mass attached with spring is choose which one is correct:

(a)       

(b)

(c)

(d)

19.       A simple pendulum is oscillating in a lift. When the lift starts moving upwards with a uniform acceleration, what effect will be on period  choose which one is correct:

(a) remains unaffected

(b) be shorter

(c) be longer

(d) may be shorter or longer depending on the magnitude of acceleration

20.       The velocity of a body in SHM is maximum at the choose which one is correct:

(a) Extreme position  

(b) Between mean and extreme position

(c) Mean position     

(d) Between extreme and mean

21.       The velocity of the body is minimum at the choose which one is correct:

(a) Mean position       

(b) Extreme position

(c) Between mean and extreme position

(d) None of the above

22.       The acceleration of projection of a point P on the diameter moving on a circle is choose which one is correct:

(a) –2

(b) x2

(c) -x2 

(d) 2x

23.       The time period of simple pendulum depends upon choose which one is correct:

(a) Thickness of the thread    

(b) Mass of the pendulum

(c) Length of the pendulum

(d) Amplitude

24.       The time period of simple pendulum is choose which one is correct: 

(a) 1 second   

(b) 1.5 second

(c) 2 second  

(d) None of these

25.       The phase angle 0 = t of a body performing SHM indicates choose which one is correct:

(a) Only the magnitude of displacement

(b) Only the direction of the displacement

(c) Both magnitude and direction  

(d) None of these

26.       A body performing SHM has a displacement X given by the equation X = 30 sin 50 t, what is the frequency of oscillation choose which one is correct:

(a) 0.020 Hz   

(b) 0.13 Hz

(c) 8.0 Hz

(d) 50 Hz

27.       In vibratory motion choose which one is correct:          

(a) P.E remains constant       

(b) K.E remains constant

(c) Total energy remains constant

(d) None of these

28.       When a particle is moving along a circular path, its projection along the diameter executes choose which one is correct:

(a) S.H.M       

(b) Angular motion

(c) Linear motion        

(d) Rotatory motion

29.       The maximum velocity of I kg mass attached to a spring constant of I Nm upto the displacement of 5 cm is choose which one is correct:

(a) 1 ms-1       

(b) 0.01 ms-1

(c) 5 ms-1       

(d) 0.05 ms-1

30.       A body of mass 5 kg in executing S.H.M with amplitude 10 cm. Its maximum velocity is 100 cms- . Its velocity will be 50 cms-l at a displacement from the mean position equal to choose which one is correct:

(a) 5 cm         

(b) 5cm

(c) 10 cm       

(d) 10 cm

31.       The maximum velocity Vo of the mass attached to the end of an elastic spring is choose which one is correct:

(a) v0 = x0

(b) v0 = x 

(c) v0 = x.

(d) v0 = x0

32.       The total energy of a body executing S.H.M is directly proportional to choose which one is correct:

(a) The amplitude       

(b) Square of amplitude

(c) Square root of amplitude  

(d) None of these

33.       The total energy of a mass attached with spring is choose which one is correct:

(a) Remain constant

(b) Increased

(c) Decreased

(d) None of these

34.       The force which is responsible for the motion of simple pendulum is choose which one is correct:

(a) -mg sin 0  

(b) -mg cos 0

(c) mg

(d) mg tan 0

35.       The time period of simple pendulum is given as choose which one is correct:

(a) T = 2

(b) T = 2

(c) T =

(d) T =

36.       The time period of a simple pendulum will be  directly proportional to the choose which one is correct:

(a)

(b)

(c)

(d) 

37.       If the mass of the bob of simple pendulum is doubled, its time period is choose which one is correct:

(a) One half    

(b) Double

(c) Remains constant          

(d) One fourth

38.       The time period of a simple pendulum is independent of its choose which one is correct:

(a) Mass        

(b) Length

(c) Acceleration due to gravity          

(d) Restoring force

39.       The frequency of the second pendulum is choose which one is correct:       

(a) 0.5 Hz       

(b) 15 Hz

(c) 2 Hz

(d) 1 Hz

40.       The frequency of second pendulum is given by choose which one is correct:          

(a)

(b)

(c)

(d) None of these

41. q The length of second’s pendulum is choose which one is correct:                    

(a) 0.99 m      

(b) 0 6 m

(c) 3 m

(d)  2 m

42.       When the bob of simple pendulum is at extreme position, it has choose which one is correct:

(a) Potential energy 

(b) Kinetic energy

(c) Both P.E and K.E 

(d) None of these

43.       When the bob of simple pendulum is at mean position then which energy it has choose which one is correct:

(a) Potential energy   

(b) Kinetic energy

(c) Both P.E and K.E 

(d) None of these

44.       Total energy of a particle executing SHM at any displacement X is given by choose which one is correct:

(a) T.E = kx

(b) T.E = kx02

(c) T.E = kx0

(d) T.E = kx2

45.       At the centre of the earth, the simple pendulum will choose which one is correct:

(a) Vibrate with double time period           

(b) Vibrate with halftime period

(c) Not move

(d) None of these

46.       The value of g is calculated from choose which one is correct:           

(a)

(b)

(c)

(d)

47.       The length of simple pendulum is calculated from the expression choose which one is correct:

(a)

(b)

(c)

(d)

48.       The acceleration of the body having SHM depends upon its choose which one is correct:

(a) Velocity     

(b) Mass

(c) Displacement from mean position       

(d) None of these

49.       The time period of a simple pendulum depends upon choose which one is correct:

(a) Mass of bob          

(b) Length of thread

(c) Height of bob        

(d) None of these

50.       The time period of second’s pendulum is choose which one is correct:

(a) 4 seconds 

(b) 1 seconds

(c) 3 seconds 

(d) 2 seconds

51.       The time period of the mass attached with spring executing S.H.M is choose which one is correct:

(a)

(b)

(c)

(d) None of these

52.       A heating and cooking of food evenly by Microwave oven is an example of choose which one is correct:     

(a) S.H.M       

(b) Damped oscillations

(c) Resonance

(d) None of these

53.       The angular velocity and angular frequency is related by the relation choose which one is correct:

(a)       

(b)

(c)                   

(d)

54.       Work done during horizontal mass spring system by the average force is choose which one is correct:

(a)

(b)

(c)

(d) 

55.       The direction of both acceleration and restoring force in SHM is choose which one is correct:

(a) Same direction     

(b) Opposite direction

(c) Perpendicular to each other         

(d) None of these

56.       If an oscillating body is subjected to an external force then it is said to be executing choose which one is correct:

(a) Free oscillations    

(b) Forced oscillations

(c) Mixed oscillations 

(d) Damping

57.       If a body vibrates with its natural frequency without the effect of an external force then it is said to be choose which one is correct:

(a) Free oscillations 

(b) Forced oscillations

(c) Mixed oscillations 

(d) Oscillations

58.       Loud music produced by sounding wooden boards of strings instruments is an example of choose which one is correct:

(a) Free oscillations    

(b) Beats

(c) Forced oscillations

(d) Damped oscillations

59.       When damping is small, the amplitude of vibration in resonance will be choose which one is correct:

(a) Unchanged           

(b) Large

(c) Small        

(d) None of these

60.       How long must be the length of a simple pendulum in order to have a period of one second choose which one is correct:

(a) 0.50 m      

(b) 0.25 m

(c) 1 m

(d) 3 m

61.       Shock absorber in automobiles is a practical form of choose which one is correct:

(a) SHM         

(b) Damped oscillations      

(c) Pascal’s law          

(d) None of these

62.       Damping effect applied on an aeroplane wing is choose which one is correct:         

(a) For more speed    

(b) To push upward

(c) To overcome resonance effect 

(d) To overcome gravity

63.       The amplitude of the lead ball is much greater than that of the choose which one is correct:

(a) Pitch ball

(b) Iron ball

(c) Plastic ball

(d) None of these

64.       When potential energy of the mass is maximum, the kinetic energy of the spring is choose which one is correct:

(a) Zero          

(b) Maximum

(c) Minimum 

(d) None of these

65.       If the position of oscillating object is given by the equation X = cos  then its displacement after 2 second is choose which one is correct:

(a) 3 m

(b) 2 m

(c) 1 m

(d) 0 m

66.       The projection of a particle moving along a circular path executes choose which one is correct:

(a) Simple motion      

(b) Angular motion

(c) Translatory motion

(d) S.H.M

67.       In simple harmonic motion, the acceleration is always directed choose which one is correct:

(a) Towards its mean position

(b) Away from mean position

(c) Along the tangent 

(d) None of these

68.       In oscillating motion choose which one is correct:                    

(a) P.E remains constant       

(b) K.E remains constant

(c) Total energy remains constant

(d) None of these

69.       The body oscillates due to choose which one is correct:

(a) Gravitational force

(b) Frictional force

(c) Restoring force  

(d) Deforming force

70.       The oscillatory motion which does not repeat after regular interval of time is called choose which one is correct:

(a) Periodic motion    

(b) Circular motion

(c) Non-periodic motion      

(d) Orbital motion

71.       Acceleration of spring mass system is choose which one is correct:

(a) Uniform

(b)  Variable due to both change in magnitude and direction

(c) Variation due to change in direction

(d) Variation due to change in magnitude

72.       In an isolated spring mass system, total energy is choose which one is correct:

(a) Variable    

(b) Constant

(c) Low           

(d) High

73.       The formula T =  of a simple pendulum holds only if choose which one is correct:

(a) Amplitude of the motion should be small

(b) Length of pendulum is small

(c) Length of pendulum is large         

(d) Mass of pendulum is small

74.       Potential energy of spring mass system is stored in choose which one is correct:

(a) Spring      

(b) Mass

(c) Length       

(d) None of these

75.       A quantity which indicates the state and direction of motion of a vibrating body is known as choose which one is correct:

(a) Amplitude 

(b) Displacement

(c) Phase angle        

(d) Time period

76.       In microwave oven, heating is produced by phenomenon of choose which one is correct:

(a) Harmonic vibration           

(b) Forced vibration

(c) Free vibration       

(d) Resonance

77.       The frequency of waves produced in microwave oven is choose which one is correct:

(a) 2450 MHz 

(b) 1435 MHz

(c) 1760 MHz 

(d) 2550 MHz

78.       The wavelength of the waves produced in microwave oven is choose which one is correct:

(a) 8 cm         

(b) 10 cm

(c) 14 cm       

(d) 12 cm

79.       The sharpness of the resonance curve depends on choose which one is correct:

(a) Loss of energy      

(b) Loss of potential energy

(c) Loss of kinetic energy      

(d) Frictional loss of energy

80.       The amplitude of a vibrating body at resonance in vacuum is choose which one is correct:

(a) Maximum 

(b) Infinite

(c) Minimum  

(d) None of these

81.       If F = 0.4 N and x = 2 cm then k =               

(a) 10 N/m      

(b) 20 N/m

(c) 3 N/n

(d) 30 N/n

82.       At what place motion of simple pendulum will be slowest at choose which one is correct:

(a) Equator     

(b) Poles

(c) On the surface of earth    

(d) At the centre of the earth

83.       If mass attached to spring increases, then its time period choose which one is correct:

(a) Increases 

(b) Decreases

(c) No change

(d) None of these

84.       Frequency of a vibratory motion is choose which one is correct:                    

(a) Less than time period       

(b) Equal to time period

(c) Reciprocal of time period          

(d) None of these

85.       At which of the following places motion of a simple pendulum is fastest choose which one is correct:

(a) Karachi    

(b) Rehim Yar Kan

(c) Lahore      

(d) Islamabad

86.       A cheap pendulum clock will choose which one is correct:

(a) Lose time in summer and gain time in winter

(b) Gain time in summer and lose time in winter

(c) Keep correct time

(d) None of these

87.       A simple pendulum is vibrating in an evacuation chamber it will choose which one is correct:

(a) Oscillate forever with the same amplitude frequency

(b) Come to rest eventually

(c) Oscillate with same amplitude with frequency decreasing with time

(d) None of these

88.       Total energy of a particle performing S.H.M. is directly proportional to choose which one is correct:

(a) Square root of the amplitude        

(b) Amplitude

(c) Reciprocal of amplitude   

(d) Square of amplitude

89.       When the mass and speed of a body are doubled, the K.E will becomes choose which one is correct:

(a) 5 times

(b) 4 times

(c) 8 times

(d) 16 times

90.       Solar cells are made up from the material called choose which one is correct:

(a) Iron

(b) Oxygen

(c) Carbon      

(d) Silicon

91.       At present, the hydroelectric generating capacity in Pakistan amounts to about choose which one is correct:

(a) 4000 mega watt    

(b) 3000 mega watt

(c) 5000 mega watt    

(d) None of these

92.       The consumption of energy by a 60 watt bulb in 2s in choose which one is correct:

(a) 120 J         

(b) 100 J

(c) 90J

(d) 0.02 J

93.       In SHM, the restoring force is directly proportionate to choose which one is correct:

(a) Velocity     

(b) Acceleration 

(c) Displacement      

(d) Time period          

94.       A student made a simple pendulum of time period I sec. The string used is of length I m, in order to make a simple pendulum of time period 2 sec, he should be the length of string.

(a) 2 m.          

(b) 3 m.

(c) 4 m.          

(d) 4 sec.

95.       Time period of second pendulum at moon is choose which one is correct:

(a) 1 sec.        

(b) 2 sec.

(c) 3 sec.        

(d) 4 sec.

96.       If the period of oscillation of mass M suspended from a spring is I sec., then  what will be the period of mass 4 M  choose which one is correct:

(a)  sec.          

(b)  sec.

(c) 2 sec.

(d) 4 sec.

97.       A girl is swinging on a swing in the sitting position. How will it affects the period of swing  if she stands up choose which one is correct?

(a) The period will now be shorter

(b) The period will now be longer

(c) The period will remain unchanged

(d) The period may become longer or shorter depending upon the height of girl

98.       A simple harmonic oscillator has time period T. what time will  taken by it to travel from the extreme position to half the amplitude is choose which one is correct:

(a)

(b)

(c)

(d)

99.       The frequency of oscillation of a simple pendulum of length L mounted in a cabin that is falling freely under gravity is choose which one is correct:

(a) Infinity       

(b) Zero

(c) one

(d) none

100.     A particle executes S.H.M with frequency ‘f’ the frequency with which its K.E oscillates is choose which one is correct:

(a) f

(b) 2f

(c) 3f

(d) 4f