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# Answer to Question #122357 in Mechanics | Relativity for Lilly

Question #122357
A wave train moves can travel through 76 cm of a tight spring in 0.23 seconds, and it forms
3 crests in a distance of 24.0 cm. It then enters a loose spring and its speed decreases to
1.1 m/s. What is the wavelength in the loose spring? (Which property remains the same?)
1
2020-06-23T13:00:38-0400

Explanations & Calculations

• Velocity of the wave train within the first medium can be calculated to be,

• Magnitude of the wavelength is defined as the distance between 2 identical points — one crest to another closest one, one trough to another closest one.
• Therefore, 3 crests in a given distance means 2 wavelengths are generated within.

• Therefore, the wavelength for the first medium ("\\lambda_1" ) could be calculated,

• For a wave propagates between several media, the frequency ("f" ) remains unchanged, only the wavelength changes due to the friction from the medium resulting a change in its velocity.

• Therefore, for the wave within first medium,

• For the second situation,

• Since the "f" is same,

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