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Sound Test - 46

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Sound Test - 46
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  • Question 1
    1 / -0
    The speed of a sound wave is $$340\;ms^{-1}$$. What is the wavelength of the wave if its frequency is $$500\;Hz$$ ?
    Solution
    Given: Speed of the sound wave $$=340\, ms^{-1}$$
    Frequency $$=500\,Hz$$

    We have the equation,

    $$\text{Wavelength}=\dfrac{\text{Speed of the wave}}{\text{Frequency}}$$

    Substituting the values we get, 

    $$ \text{Wavelength}=\dfrac{340}{500}=0.68\,m$$

    Hence the wavelength of the sound wave is $$0.68\,m$$.
  • Question 2
    1 / -0
    The time period of a vibrating body is $$0.01\;sec$$. Its frequency will be :
    Solution
    Given,
    Time period $$=0.01\,sec$$
    We have to find the frequency.
    We have the relation, $$Frequency=\dfrac{1}{Time\,Period}$$
    $$\therefore Frequency=\dfrac{1}{0.01}=100\,s^{-1}$$
  • Question 3
    1 / -0
    A normal man is unable to hear the sound emitted by source. Out of the possible reasons, the one which is not applicable is
    Solution

  • Question 4
    1 / -0
    Sound waves cannot pass through
    Solution
    Sound cannot travel through a perfect vacuum. A vacuum is a space without any medium. Sound requires a material medium for its propagation, and hence 'Sound waves cannot pass through a perfect vacuum.'
  • Question 5
    1 / -0
    A sound wave completes $$20$$ vibrations in $$2.5\;s$$. Its frequency will be equal to :
    Solution
    We have,

    $$Frequency=\frac{Number\,of\,vibration}{Time\,taken}$$

    It is given that the sound wave completes 20 vibrations in 2.5 seconds

    Hence,

    $$Frequency=\frac{20}{2.5}=8\,Hz$$
  • Question 6
    1 / -0
    The product of the time period of a sound wave and its frequency is equal to:
    Solution
    We have the equation,

    $$f=\frac{1}{T}$$

    where,

    $$f$$ is the frequency

    $$T$$ is the time period

    Hence the product of the time period of the sound wave and its frequency is equal to unity.
  • Question 7
    1 / -0
    Imagine a cannon being fired on the surface of the moon. Then
    Solution
    Sound waves need a material medium to propagate. Since there is no atmosphere on the moon, so sound cannot propagate in space and hence no sound will be heard at the surface of the earth as well as on the moon.
  • Question 8
    1 / -0
    The echo will be heard if the orginal sound reflected by an obstacle reaches our ears after
    Solution
    As the sensation of sound persists in our brain for about 0.1 second, to hear a distinct echo the time interval between the original sound and the reflected one must be at least 0.1 second.
  • Question 9
    1 / -0
    The frequency of sound waves is $$11\ kHz$$ and its wavelength is $$20\ cm$$, then the velocity of sound waves is ______.
    Solution
    Given,
    Frequency, $$ f= 11 \times 10^{3}\ Hz$$
    Wavelength, $$\lambda = 20\ cm=0.2\ m$$ 
    Velocity of sound wave, $$v$$

    We know,
    $$ v =f \times \lambda$$
    $$v= 11 \times 10^{3} \times 0.2$$
    $$v =2200\ m/s$$

  • Question 10
    1 / -0
    An echo will be heard if the minimum distance between the source of sound and the obstacle is
    Solution
    As the sensation of sound persists in our brain for about 0.1 s, to hear a distinct echo the time interval between the original sound and the reflected one must be at least 0.1s. If we take the speed of sound to be 344 m/s at a given temperature, say at 22 ºC in air, sound must go to the obstacle and reach back the ear of the listener on reflection after 0.1s.
     
    Hence, the total distance covered by the sound from the point of generation to the reflecting surface and back should be at least (344 m/s) ×0.1 s = 34.4 m. Thus, for hearing distinct echoes, the minimum distance of the obstacle from the source of sound must be half of this distance. I.e., 34.4/2 = 17 m.
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