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Waves Test - 75...

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  • Question 1
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    Maximum acceleration of an object in simple harmonic motion is 24 m/s2m/s^2 and maximum velocity is 16 m/sec. The amplitude of object is 

  • Question 2
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    Directions For Questions

    A block of mass MM is suspended from on end of a light spring as shown. The origin OO is considered at distance equal to the natural length of the spring from the ceiling and vertical downward direction as positive yy- axis. When the system is in equilibrium, a bullet of mass m/3m/3 moving in a vertical upward direction with velocity v0v_{0} strikes the block and embeds into it. As a result, the block (with a bullet embedded into it) moves up and starts oscillating.
    Based on the given information answer the following question:

    ...view full instructions

    The time taken by block-bullet system to move from y=mgky = \dfrac { m g } { k } (initial equilibrium position) to y=0y = 0 (natural length of spring) is (AA represents the amplitude of motion).

  • Question 3
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    A person observe two points on a string as a travelling wave passes them. The points are at x1=0x _ { 1 } = 0 and x2=1mx_2 = 1m. The transverse motions of the two points are found to be as follows: y1=0.2sin3πty _ { 1 } = 0.2 \sin 3 \pi t
    y2=0.2sin(3πt+π/8)y _ { 2 } = 0.2 \sin ( 3 \pi t + \pi/8 ) What is the frequency in HzHz?

  • Question 4
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    A wave pulse is given by the equation y=f(x,t)=Aexp(B(xvt)2)y=f(x,t)=A exp(-B(x-vt)^{2}). Given A=1.0m.B=1.0m2A=1.0m.B=1.0m^{-2} and v=+2.0m/sv=+2.0m/s. which of the following graph shows the correct wave profile at the instant t=1st=1s?

  • Question 5
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    A particle starts from the origin, goes along XX- axis to the point (20 m, 0)(20\ m,\ 0) and then returns along the same line to the point (20m, 0)(-20m,\ 0). The distance and displacement of the particle during the trip are

  • Question 6
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    A particle executes simple harmonic motion with a time period of 16 s. At time t=2s, the particle crosses the mean position. Its velocity is 4ms14 ms^{-1} when t=4s. The amplitude of motion is 

  • Question 7
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    A particle executes SHM with a time period of 16 second .at time t is equal 2 second the particle crosses the mean position while at t is equal to 4 second its velocity is 4 m per second the amplitude of motion in metre is

  • Question 8
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    The distance between consecutive maxima and minima is given by

  • Question 9
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    The amplitude of a wave represented by displacement equation :
     y=1a sinωt±1b cosωt y=\frac { 1 }{ \sqrt { a }  } sin\omega t\pm \frac { 1 }{ \sqrt { b }  } cos\omega t will be :

  • Question 10
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    A body is performing linear SHM, If the displacement, acceleration and the corresponding velocity of the body are y, 'a' and v respectievly, which of the following graphs is/are correct?

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