Sound waves propagates with a speed of 350 m / s through air and with a speed of 3500 m / s th

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Sound waves propagates with a speed of 350 m / s through...

Sound waves propagates with a speed of $350 \mathrm{~m} / \mathrm{s}$ through air and with a speed of $3500 \mathrm{~m} / \mathrm{s}$ through brass. If a sound wave having frequency $700 \mathrm{~Hz}$ passes from air to brass, then its wavelength ......... (A) decreases by a fraction of 10 (B) increases 20 times (C) increases 10 times (D) decreases by a fraction of 20

Sound waves propagates with a speed of $350 \mathrm{~m} / \mathrm{s}$ through air and with a speed of $3500 \mathrm{~m} / \mathrm{s}$ through brass. If a sound wave having frequency $700 \mathrm{~Hz}$ passes from air to brass, then its wavelength .........
(A) decreases by a fraction of 10
(B) increases 20 times
(C) increases 10 times
(D) decreases by a fraction of 20

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Key Concepts

Medium-Dependent Changes in Wavelength

Since the speed of sound can vary significantly between different media, the wavelength of the sound wave will adjust accordingly when transitioning between these media. With the frequency unchanged, an increase in the speed of sound in a new medium results in a proportional increase in the wavelength.

Wave Propagation in Different Media

This concept refers to the fact that the speed of a wave, such as a sound wave, depends on the properties of the medium through which it is traveling. Different media have different densities and elastic properties, which affect how fast waves can move through them.

Relationship Between Speed, Frequency, and Wavelength

The fundamental wave equation, which states that the speed of a wave is equal to the product of its frequency and its wavelength, underpins the behavior of all waves. This relationship allows for the calculation of any one of these parameters if the other two are known.

Invariance of Frequency Across Media Boundaries

When a wave travels from one medium to another, its frequency remains constant. This means that any change in the wave's speed as it enters a different medium will result in a corresponding change in its wavelength, as governed by the wave equation.

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