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Oscillations and Waves Test - 3

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Oscillations and Waves Test - 3
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  • Question 1
    1 / -0
    The first overtone of a stretched wire of given length is 320 Hz. The first harmonic is
  • Question 2
    1 / -0

    Period of a periodic motion is the ________ interval of time after which the motion is __________.

    Solution

    Time period of an oscillatory motion is the smallest interval of time for one complete oscillation.As when we apply the force on the bob,bob moves from mean position to extreme position then form extreme position to mean position and then again from mean to extreme in opposite direction and at last come to mean position.The time taken by bob in this whole process is called period of oscillation.

  • Question 3
    1 / -0
    A ball of mass 2 kg is moving with a velocity of 3 m/s. It collides with a spring of natural length 2 m and force constant 72 N/m. What will be the length of the compressed spring?
  • Question 4
    1 / -0

    Oscillatory motion is best described by 

    Solution

    In oscillatory motion object moves to and fro about mean position periodically or after a particular interval of time.All oscillatory motions are periodic in nature

  • Question 5
    1 / -0
    A uniform wire of linear density 0.004 kg-m-1 when stretched between two rigid supports, with a tension 3.6 x 102 N, resonates with a frequency of 420 Hz. The next harmonic frequency with which the wire resonates is 490 Hz. The length of the wire in metres is
  • Question 6
    1 / -0

    The pendulum of a wall clock executes

    Solution

    It executes simple harmonic motion because in this motion restoring force is directly proportional to the displacement towards the mean position at any time.

  • Question 7
    1 / -0
    The angular amplitude of a simple pendulum is θ0. What will be the maximum tension in its string?
  • Question 8
    1 / -0
    A source and an observer are approaching each other with 50 ms-1 velocity. What will be its original frequency if the observer receives 400 cycles/s? Take speed of sound = 340 m/s
  • Question 9
    1 / -0
    A point mass m is suspended at the end of a massless wire of length L and cross section A. If Y is Young's modulus for the wire, what will be the frequency of oscillation for the SHM along the vertical line?
  • Question 10
    1 / -0
    A simple pendulum is released from A, as shown in the figure. If m and l represent the mass of the bob and the length of the pendulum, respectively, then the gain in kinetic energy at B is

  • Question 11
    1 / -0
    What is the beat frequency produced when the following two waves are sounded together?

    x1 = 10 sin (404πt - 5πx), x2 = 10 sin (400πt - 5πx)
  • Question 12
    1 / -0
    A particle executes linear simple harmonic motion with amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Its time period (in seconds) is
  • Question 13
    1 / -0
    A particle in SHM is described by the displacement equation x(t) = A cos (ωt + θ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is π cm/s, then what is its amplitude? (The angular frequency of the particle is πs-1.)
  • Question 14
    1 / -0
    A simple pendulum with a bob of mass m and a conducting wire of length L swings under gravity through an angle 2θ. The earth's magnetic field component in the direction perpendicular to the swing is B. The maximum potential difference induced across the pendulum is

  • Question 15
    1 / -0
    Two identical springs are connected in series and parallel as shown in the figure. If fs and fp are frequencies of series and parallel arrangements, respectively, then what is ?

     
  • Question 16
    1 / -0
    The equation of a simple harmonic wave is given by y = 5 sin  (100t - x), where x and y are in metres and t is in seconds. The period of the wave will be
  • Question 17
    1 / -0
    The frequency of a tuning fork is 256 Hz. The velocity of sound in air is 344 ms-1. The distance travelled (in metres) by the sound during the time in which the tuning fork completes 32 vibrations is
  • Question 18
    1 / -0
    When both the listener and the source are moving towards each other, then which of the following is true regarding the frequency and wavelength of the wave observed by the observer?
  • Question 19
    1 / -0

    How can you describe a periodic motion 

    Solution

    A motion of a body that repeats itself at regular intervals of time on the same path like rotation of earth around sun in 365.25 days

  • Question 20
    1 / -0
    The time period of a particle in simple harmonic motion is 8 seconds. At t = 0, it is at the mean position. The ratio of the distances travelled by it in the 1st second and the 2nd second is
  • Question 21
    1 / -0

    Frequency of the periodic motion is

    Solution

    Frequency is defined as number of oscillation completed by an oscillating body in unit time i.e. in one second during oscillatory motion.

       ν=1/T

  • Question 22
    1 / -0
    A particle starts SHM from a mean position. Its amplitude is 'a' and total energy is E. At one instant, its kinetic energy is 3E/4. Its displacement at that instant is
  • Question 23
    1 / -0
    The time period of a simple pendulum of length l is T1, and the time period of a uniform rod of the same length l pivoted at one end and oscillating in a vertical plane is T2. The amplitude of oscillations in both the cases is small. Then, T1/T2 is 
  • Question 24
    1 / -0
    A particle is executing two different simple harmonic motions mutually perpendicular to different amplitudes and having a phase difference of π/2. The path of the particle will be
  • Question 25
    1 / -0
    The factor determining the pitch of a tuning fork is
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