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16 days ago

Below you are given data about a wave in three different substances.

Physics

1 answer:

inna [2.2K]16 days ago

7 0

1) The wave's period remains constant across different media

2) The wave's velocity varies depending on the medium it travels through

3) As a wave transitions between media, its speed, direction, and wavelength can change, while its frequency stays unchanged

Clarification:

The period of a wave signifies the duration it takes for one full oscillation.

The wave's period is the inverse of its frequency:

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

where

T denotes the period

f is the frequency

The provided table illustrates that the frequency remains consistent across the three media; hence, the period is unchanged as it solely relies on frequency. We can compute it as we know that

f = 350 Hz

thus the period equals

$T=\frac{1}{350}=2.86\cdot 10^{-3} s = 2.86 ms$

The velocity of a wave can be derived from the wave equation:

$v=f \lambda$

where

f indicates the frequency

$\lambda$ is the wavelength

$f=350 Hz, \lambda = 0.75 m$ , resulting in a speed of

$v_1 = (350)(0.75)=262.5 m/s$

In the second medium,

$f=350 Hz, \lambda = 0.70 m$ , leading to a speed of

$v_2 = (350)(0.70)=245 m/s$

In the third medium,

$f=350 Hz, \lambda = 0.65 m$ , showing a speed of

$v_3 = (350)(0.65)=227.5 m/s$

As a result, we conclude that the wave's speed varies with the medium.

- The wave's direction alters. Specifically, if the subsequent medium is of greater optical density, the wave bends towards the normal; conversely, it bends away if the second medium is of lesser optical density.

- The wave's speed is affected. The wave decelerates in media with higher optical density and accelerates in those with lower optical density.

- The wave's frequency remains unchanged.

- Ultimately, the wave's wavelength is modified. If moving into a medium of greater optical density, the wavelength decreases, while it increases in one of lower optical density.

Discover more about waves here:

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