9th preparatory work sheet - 9

8/10/2019 9th Preparatory Work Sheet - 9

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Class : IX (Karnataka)

Topic : S.H.M Concept III, IV, Waves & Oscillations Concept - I

Subject : Physics

PREPARATORY WORKSHEET - 9

1. An oscillator performing SHM possess [ c ]

a) only kinetic energy b) only potential energy

c) both potential and kinetic energies d) either potential energy or kinetic energy

2. Statement (A) :An oscillator is performing SHM possesses K. E due to its velocity [ a ]

Statement (B) :An oscillator is performing SHM possesses P. E due to its displacement from

equillibrium position

3. When an oscillator performs SHM during oscillation [ a,c ]

a) both K. E and P.E may vary b) both K.E and P.E remain constant

c) the sum of K.E and P.E may be conserved d) the sum of K.E and P.E is not conserved4. In SHM during oscillation [ a,b ]

a) the sum of K.E and P.E is conserved if no disipative forces are present

b) the K.E and P.E vary if no dissipative forces are present

c) the K.E and P.E remain constant if no dissipative forces are present

d) the sum of K.E and P.E is not conserved if dissipative forces are not present

5. The general equation of SHM is given by x = A sin ( ( )t + then match the following1) At x = 0 p) K.E is zero [ a ]

2) At2

Ax= q) K.E is 25% of total energy

3) At3

2x A= r) K.E is 50% of total energy

4) At x = A/2 s) K.E is 75% of total energy

5) At x = A t) K.E is equal to total energy

a) 1 - t, 2 - r, 3 - q, 4 - s, 5 - p b) 1 - r, 2 - s, 3 - q, 4 - p, 5 - t

c) 1 - q, 2 - t, 3 - r, 4 - p, 5 - s d) 1 - q, 2 - r, 3 - t, 4 - s, 5 - p

6. Statement (A) : The K.E of an oscillator performing SHM at any time t is given by

( )2 21

cos2

mA t + [ d ]

Statement (B) : The K.E of an oscillator performing SHM at any position x from mean position

is given by ( )2 2 21

2m A x

7. Starting from origin a body oscillate simple harmonically with time period T. Then match the

following [ a ]

1) At t = 0 p) KE is zero

2) At t = T/5 q) K.E is 25% of total energy

3) At t = T/6 r) K.E is 50% of total energy

4) At t = T/12 s) K.E is 75% of total enregy5) At t = T/4 t) K.E is equal to total energy

a) 1 - r, 2 - s, 3 - q, 4 - p, 5 - t b) 1 - t, 2 - r, 3 - q, 4 - s, 5 - p

c) 1 - q, 2 - t, 3 - r, 4 - p, 5 - s d) 1 - q, 2 - r, 3 - t, 4 - s, 5 - p


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8. Statement (A) : The graph between potential energy of oscillator in SHM and its displacement is

a parabola

Statement (B) :The graph between kinetic energy of oscillator in SHM and its displacement is a

straight line. [ c ]

a) Both statements are true b) Both statements are false

c) A is true, B is false d) A is false, B is true

9. The general equation of a particle of mass m in SHM is given by ( )sinx A t = + then choosethe correct statement [a,b,c ]

a) the kinetic energy of the particle at any position x is ( )2 2 21

2m A x

b) the potential energy of the particle of any position x is2 21

2m x

c) the total energy of particle at any position x is2 21

2m A

d) the kinetic energy of the particle at any position x is2 21

2m A

10. The maximum P.E of a simple harmonic oscillator is given by the expression [a,b,d ]

a)2 21

2mA b) 2 2 22 n A m c)

2 21

2m x d)

21

2kA

11. At the extreme position of a simple harmonic motion [ b,c ]

a) PE minimum & KE maximum b) PE maximum & KE is zero

c) total energy remains same d) both PE and KE maximum

12. As the amplitude of a simple pendulum is doubled then its time period [ d ]a) doubled b) become half c) become 2 times d) remains same

13. The percentage increase in the length of a pendulum is 0.4. What is percentage change in the time

period of the simple pendulum [ a ]

a) increase by 0.2% b) decrease by 0.2% c) increase by 0.4% d) decrease by 0.4%

14. The bob of a simple pendulum filled with mercury if some amount of mercury is removed its time

period [ a ]

a) increases b) decreases c) remains same d) cant say

15. Assertion (A) : The work done by the tension in the string in a simple pendulum is zero

Reason (R) :The motion of pendulum always perpendicular to the tension in the stringa) Both A and R are true and R is the correct explanation of A [ a ]

b) Both A and R are true and R is not correct explanation of A

c) A is correct and R is incorrect d) A is incorrect and R is correct.

16. The steel bob of a simple pendulum replaced by wooden bob. Then its period [ c ]

a) increases b) decreases c) constant d) inifinity

17. Statement (A) : amplitude of an oscilating pendulum decrease with time [ c ]

Statement (B) :frequency decreases with time



18. A particle of mass 200g executing SHM represented by y = 0.05 sin ( ( )20 1.6t m + [a,b,c]

a) amplitude 0.05 m b) total energy 0.12j c) a

max= 20

2 2/m s d) frequency 20 Hz


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19. The PE of a SHM 0.1 sec after crossing the mean position is1

4th of its total energy. Then the

period of oscillation is [ d ]

a) 0.2 sec b) 0.6 sec c) 0.9 sec d) 1.2 sec

20. A SHM is given by y = 0.02 sin 0.01 0.3

t x

n

then the velocity of the wave is [ a ]

a) 30 m/s b) 60 m/s c) 0.3 m/s d) 300 m/s

21. The phase difference between two simple harmonic oscilations 11 3

sin cos2 2

y t t = + and

3 1sin cos

2 2y t t = + is [ d ]

a)

2

b)

3

c)

4

d)

6

22. A particle of mass 1 kg executing SHM is given by 2cos 10 .3

y f m = + Then its maximum

P.E is [ b ]

a) 100 J b) 200 J c) 20 J d) 10 J

23. The total energy of SHM is [a,b,d ]

a) directly proportional to the square of amplitude

b) directly proportional to the square of frequency

c) directly proportional to the square of time periodd) inversely proportional to the square of time period

24. Assertion (A) : In SHM K.E is maximum at mean position [ a ]

Reason (R) :Velocity at mean position is maximum in SHM

a) Both A and R are true and R is the correct explanation of A



25. The total energy of a particle making SHM is 150 J, amplitude is 1m and force constant is 200

Nm1. The minimum P. E is [ a ]

a) 50 J b) 100 J c) 150 J d) zero

26. Starting from origin a body oscillate simple harmonically with period of 2 second. After the time

will be the KE be 75% of total energy [ a ]

a)1

sec6

b)1

sec4

c)1

sec3

d)1

sec12

27. The ratio of frequency of two pendulums are 2 : 3 then their lenghts are in the ratio [ d ]

a)2

3b)

3

2c)

4

9d)

9

4

28. To show that simplependulum executes SHM it is necessary to assume that [ c ]a) length pendulum is small b) mass of the pendulum is small

c) the amplitude of oscillation is small d) acceleration due to gravity is small is small


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29. If a amplitude is in SHM, then match the following [ a ]

1) KE = PE p) At3

2times amplitude

2) KE =1

2PE q) At

1

2times amplitude

3) KE =3

4of total energy r) At half of amplitude

4) PE =3

4of total energy s) At

3

2times amplitde

a) 1 - q, 2 - s, 3 - r, 4 - p b) 1 - r, 2 - s, 3 - q, 4 - p

c) 1 - p, 2 - q, 3 - r, 4 - s d) 1 - q, 2 - p, 3 - r, 4 - s

30. A simple pendulum whose time period of oscillation is equal to two seconds is [ a ]

a) seconds pendulum b) hours pendulum c) minutes pendulum d) both A and C

31. When a oscillator is performing SHM then match the following. [ a ]

i) Total energy p)21

2kx

ii) Kinetic energy q)2 21

2m x

iii) Potential energy r)2 21

2mA

iv) Work done s) ( )2 2 21

2m A x

a) 1 - r, 2 - s, 3 - q, 4 - p b) 1 - p, 2 - s, 3 - q, 4 - r

c) 1 - r, 2 - s, 3 - q, 4 - r d) 1 - s, 2 - r, 3 - q, 4 - p

32 The time period of simple pendulum is T. When the length is increased by 10 cm. Its time period

is T1when the length is decreased by 10 cm. Its time period is T

2then the relation between T, T

1

and T2is [ c ]

a) 2 2 21 2

2 1 1

T T T= + b) 2 2 2

1 2

2 1 1

T T T= c) 2 2 2

1 22T T T= + d) 2 2 2

1 22T T T=

33. Statement (A) :The time period of simple pendulum is 2 l

Tg

= [ a ]

Statement (B) :The total energy of a simple pendulum is21

2

gE mA

l=



34. The time period of a simple pendulum measured inside a stationary lift is T. If the lift starts moving

upwards with an acceleration g/3 what will be time period [ d ]

a) T/3 b) 3T c)3

2T d)

3

2

T


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35. For a simple pendulm making SHM match the following [ a ]

1) PE is maximum p) At mean position

2) PE is minimum q At right extreme position

3) K.E is maximum r) At left extreme position

4) T.E is constant s) At any position

a) 1 - q,r ; 2 - p; 3 - s; 4 - r b) 1 - q,r; 2 - p; 3 - p; 4 - s

c) 1 - p,s; 2 - q, 3 - r, 4 - s d) 1 - s,q; 2 - p; 3 - r; 4 - s

36. Choose the correct options [a,b,c,d]

a) time period of seconds pendulum is 2 secs

b) length of seconds pendulum is 1 m

c) length of seconds pendulum is 100 cm

d) If a simple pendulum is taken from earth to moon then its time period increases to 6 times

37. Statement (A) :The distance between the point of suspension of pendulum and centre of gravity

of the sphere is called length of pendulum [ c ]

Statement (B) :A simple pendulum whose time period of oscillations is equal to 2 seconds is

called minutes pendulum



38. Match the following [ c ]

1) Total energy of simple pendulum p)2 21

2mA

2) Total energy of S.H.M q) 2 l

g

3) Expression for time period

of simple pendulum r)g

xl

4) acceleration s)g

l

a) 1 - s, 2 - q, 3 - p, 4 - r b) 1 - q, 2 - s, 3 - p, 4 - r

c) 1 - s, 2 - p, 3 - q, 4 - r d) 1 - r, 2 - p, 3 - s, 4 - q

39. A particle is performing linear S.H.M its K.E is 2 times its P.E at a position A and its PE is 2 times

its K.E at another position B. The ratio of K.E at A to KE at B is [ c ]a) 1 : 2 b) 4 : 1 c) 2 : 1 d) 1 : 4

40. Sound wave is a [ c ]

a) Transverse mechanical wave b) Transverse electro magnetic wave

c) longitudinal mechanical wave d) longitudinal electro magnetic wave

41. Matching [ b ]

1) Progressive waves p) density, pressure are maximum

2) Mechanical waves q) Never returns to origin

3) Non mechanical waves r) Requires a material medium

4) At compression s) Pressure, density are minimum5) At rarefaction t) Do not require a medium

a) 1 - r, 2 - t, 3 - p, 4 - q, 5 - s b) 1 - q, 2 - r, 3 - t, 4 - p, 5 - s

c) 1 - t, 2 - p, 3 - r, 4 - s, 5 - q d) 1 - p, 2 - t, 3 - s, 4 - q, 5 - r


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42. 1) Waves on springs, sound waves p)2

[ c ]

2) Waves on strings, rods q) examples of transverse wave

3) Distance between crest and trough r) 4) Distance between two consecutive

compressions s) examples of longitudinal wavet) examples of stationary wave

a) 1 - s, 2 - q, 3 - p, 4 - r b) 1 - r, 2 - s, 3 - q, 4 - p

c) 1 - p, 2 - q, 3 - r, 4 - s d) 1 - q, 2 - p, 3 - r, 4 - s

43. Statement (A) :Time period is different for all particles in transverse wave [ b ]

Statement (B) :Transerse waves are possible only in solids



44. Statement (A) :The region whers the particles of the medium are crowded is called the rarefaction

Statement (B) :The region where the particle of the medium are widely seperated is called the

compression [ b ]



45. Assertion (A) :Every particle of the medium is longitudinal wave under goes S.H.M [ b ]

Reason (R) : Time period and amplitude is same for all particles in S.H.M

a) Both A and R are true and R is the correct explanation of A



46. Longitudinal wave travels through a medium is divided into [ a,c ]

a) Compressions b) Crest c) Rarefactions d) Trough47. Transverse wave travels through a medium is divided into [ a,d ]

a) Crest b) Compressions c) Rare factions d) Trough

48. In a longitudinal wave temperature at the rare faction is [ a ]

a) More b) Less c) Constant d) Zero

9th preparatory work sheet - 9

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