+1, 10. Oscillations

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CHOOSE THE CORRECT ANSWER

7. The displacement of a simple harmonic
motion is given by y(t) = A sin (ωt + φ)
where A is amplitude of the oscillation,
ω is the angular frequency and φ
is the phase. Let the amplitude of
the oscillation be 8cm and the time
period of the oscillation is 24s. If the
displacement at initial time (t = 0s) is
4cm, then the displacement at t = 6s is *

1 point

1. In a simple harmonic oscillation, the acceleration against displacement for one complete oscillation will be *

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a) an ellipse

b) a circle

c) a parabola

d) a straight line

4. A simple pendulum is suspended from the roof of a school bus which movesin a horizontal direction with an acceleration a, then the time period is *

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Option 1

Option 2

Option 3

Option 4

11. A hollow sphere is filled with water. Itis hung by a long thread. As the water flows out of a hole at the bottom, the period of oscillation will *

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a) first increase and then decrease

b) first decrease and then increase

c) increase continuously

d) decrease continuously

8. A simple pendulum has a time period T1. When its point of suspension is moved vertically upwards accordingas y = k t2, where y is vertical distance covered and k = 1 ms−2, its time period becomes T2. Then, TT1222 is (g = 10 m s−2)(IIT 2005) *

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a) 5/6

b) 11/10

c) 6/5

d) 5/4

2.CLASS AND SECTION *

1. NAME OF THE STUDENT *

2. A particle executing SHM crosses points A and B with the same velocity.Having taken 3 s in passing from A toB, it returns to B after another 3 s. The time period is *

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a) 15 s

b) 6 s

c) 12 s

d) 9 s

3. The length of a second’s pendulumon the surface of the Earth is 0.9 m.The length of the same pendulumon surface of planet X such that the acceleration of the planet X is n times greater than the Earth is *

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Option 1

Option 2

Option 3

Option 4

6. A spring is connected to a mass msuspended from it and its time period for vertical oscillation is T. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillation is *

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Option 1

Option 2

Option 3

Option 4

5. Two bodies A and B whose masses arein the ratio 1:2 are suspended fromtwo separate massless springs of forceconstants kA and kB respectively. If thetwo bodies oscillate vertically such thattheir maximum velocities are in the ratio 1:2, the ratio of the amplitude Ato that of B is *

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Option 1

Option 2

Option 3

Option 4

13. Let the total energy of a particleexecuting simple harmonic motion with angular frequency is 1 rad s–1 is 0.256J. If
the displacement of the particle at time t =π2s is 8 2 cm then the amplitude of motion is *

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a)8cm

b) 16cm

c) 32cm

d)64cm

9. An ideal spring of spring constant k, issuspended from the ceiling of a room and a block of mass M is fastened toits lower end. If the block is released when the spring is un-stretched, then the maximum extension in the spring is (IIT 2002) *

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a) 4Mg/k

b) Mg/k

c) 2Mg/k

d) Mg2k

12. The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are *

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a) kg m s−1

b) kg m s−2

c) kg s−1

(d) kg s

15.A mass of 3 kg is attached at the end ofa spring moves with simple harmonic motion on a horizontal frictionless table with time period 2π and with amplitudeof 2m, then the maximum fore exerted on the spring is *

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a)1.5N

b)3N

c)6N

d)12N

10. A pendulum is hung in a very high building oscillates to and fro motion freely like a simple harmonic oscillator.If the acceleration of the bob is 16 ms−2at a distance of 4 m from the mean position, then the time period is(NEET 2018 model) *

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a) 2 s

b) 1 s

c) 2πs

(d) πs

14. A particle executes simple harmonic
motion and displacement y at time t0,2t0 and 3t0are A, B and C, respectively.Then the value of ∙A+C2B ∙ is *

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