NEET Physics - New - Oscillations and Waves

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Question - 1

Spring of force constant k is cut into lengths of ratio 1 : 2 : 3. They are connected in series and the new force constant is k', Then they are connected in parallel and force constant is k". then k' : k" is:

  • A 1:9
  • B 1:11
  • C 1:14
  • D 1:6 

Question - 2

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:

  • A \(\sqrt{5}\)/2π
  • B 4π/\(\sqrt{5}\)
  • C 2π/\(\sqrt{5}\)
  • D \(\sqrt{5}\)/π

Question - 3

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is

  • A 3/4
  • B 4/3
  • C 16/9
  • D 9/16

Question - 4

When two displacements represented by yl = a sin (ωt) and y2 = b cos (ωt)are superimposed the motion is :

  • A not a simple harmonic
  • B simple harmonic with amplitude a/b
  • C simple harmonic with amplitude \(\sqrt { { a }^{ 2 }+{ b }^{ 2 } } \)
  • D simple harmonic with amplitude (a+b)/2

Question - 5

The oscillation of a body on a smooth horizontal surface is represented by the equation X = A cos (ωt), where X = displacement at time t, ω = frequency of oscillation. Which one of the following graph shows correctly variation of 'a' with 't?

  • A
  • B
  • C
  • D

Question - 6

If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by:

  • A 1/n = 1/nl + 1/n2 + 1/n3
  • B 1/\(\sqrt { n_{ 1 } } \)+1/\(\sqrt { n_{ 2 } } \)+1/\(\sqrt { n_{ 3 } } \)
  • C \(\sqrt { n_{ } } \)=\(\sqrt { n_{ 1 } } \)+\(\sqrt { n_{ 2 } } \)+\(\sqrt { n_{ 3 } } \)
  • D n=n1+n2+n3

Question - 7

The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are: (velocity of sound = 340m/s)

  • A 4
  • B 5
  • C 7
  • D 6

Question - 8

The equation of a simple harmonic wave is given by y = 3 sin π/2 (50t - x) where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is :

  • A 3π/2
  • B
  • C 2π/3
  • D

Question - 9

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be:

  • A πa/T
  • B 3π2a/T
  • C πa\(\sqrt{3}\)/T
  • D πa\(\sqrt{3/2}\)/T

Question - 10

A particle is executing SHM along a straight line. Its velocities at.distances x1 and x2 from the mean position are V1 and V2, respectively. Its time period is:

  • A \(2\pi \sqrt { ({ x }_{ 1 }^{ 2 }+{ x }_{ 2 }^{ 2 })/({ V }_{ 1 }^{ 2 }+{ V }_{ 2 }^{ 2 }) } \)
  • B \(2\pi \sqrt { ({ x }_{ 2 }^{ 2 }-{ x }_{ 1 }^{ 2 })/({ V }_{ 1 }^{ 2 }+{ V }_{ 2 }^{ 2 }) } \)
  • C \(2\pi \sqrt { ({ x }_{ 2 }^{ 2 }-{ x }_{ 1 }^{ 2 })/({ V }_{ 1 }^{ 2 }-{ V }_{ 2 }^{ 2 }) } \)
  • D \(2\pi \sqrt { ({ V }_{ 1 }^{ 2 }+{ V }_{ 2 }^{ 2 })/({ x }_{ 1 }^{ 2 }-x_{ 2 }^{ 2 }) } \)