Question

The figure shows the snapshot of a sound certain instant the snapshot of a sound wave in a certain medium at a certain instant
(i) What is the amplitude of the wave?
(ii) If the velocity of the wave is 4 m s 1, calculate the wavelength of the wave if its frequency is 20 Hz.
(iii) If a wave of same type but with higher frequency is passed in the given medium, will the speed of the wave increase, decrease or remain the same?​

Answer 1

Answer:

i) Amplitude of wave is 12 cm

ii) Wavelength of the wave is 20 cm

iii) speed of wave will be same as initial speed

Explanation:

i) Amplitude of the wave is the maximum displacement from its mean position

from the graph maximum displacement is given as

A = 12 cm

ii) velocity of the wave is

v = 4m/s

frequency of the wave is

f = 20 Hz

now wavelength is given as

$\lambda = \frac{v}{f}$

$\lambda = \frac{4}{20}$

$\lambda = 20 cm$

iii) Speed of the wave propagation depends on the properties of the medium

So here wave speed will not change if the frequency of the wave changes while medium property will remain same.

So here speed of wave will be same as initial speed

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Topic : Waves

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Answer 2

i) Amplitude of any periodic oscillation is the maximum displacement of its energy parameter from its mean or equilibrium position.

ii) $\lambda=0.2\ m$

iii) When a wave of same type but higher frequency passes through the same medium and the if its wavelength is same the it will move at a faster rate.

Explanation:

i) Amplitude of any periodic oscillation is the maximum displacement of its energy parameter from its mean or equilibrium position.

So, here we can observe that the amplitude of the given wave is 12 cm.

ii) When the wave has a velocity of $v=4\ m.s^{-1}$

its frequency is given that, $f=20\ Hz$

So, from the equation:

$\lambda=\frac{v}{f}$

where:

$\lambda=$ wavelength

$\lambda=\frac{4}{20}$

$\lambda=0.2\ m$

iii) When a wave of same type but higher frequency passes through the same medium and the if its wavelength is same the it will move at a faster rate.

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TOPIC: wavelength frequency

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