Question

A transverse wave is observed to be moving along a lengthy rope. Adjacent crests are positioned 2 m apart. Exactly five crests are observed to move past a given point along with the medium in 5 seconds. Determine the wavelength, frequency, and speed of these waves.

Answer 1

Explanation:

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wavelength: 2.4m

frequency: 6/9.1s

speed: 2.4 m * 6/9.1s

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Answer 2

We can use the following equations to solve the problem:

Wavelength (λ) = Distance between two adjacent crests

Frequency (f) = Number of crests passing a given point per second

Wave speed (v) = λ x f

From the problem, we know that adjacent crests are positioned 2 m apart, and exactly five crests move past a given point in 5 seconds. Therefore, we can calculate the wavelength and frequency as follows:

Wavelength (λ) = Distance between two adjacent crests = 2 m

Frequency (f) = Number of crests passing a given point per second = (5 crests / 5 seconds) = 1 crest/second

Using the above values, we can calculate the wave speed as follows:

Wave speed (v) = λ x f = 2 m x 1 crest/second = 2 m/s

Therefore, the wavelength of the wave is 2 meters, the frequency is 1 hertz (Hz), and the wave speed is 2 meters per second (m/s).

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