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For a wave propagating in medium, identi...

For a wave propagating in medium, identify the property that is independent of the others.

A

velocity

B

wavelength

C

frequency

D

all these depend on each other.

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The correct Answer is:
To solve the question of identifying the property of a wave that is independent of the others when a wave propagates in a medium, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Basic Wave Properties**: - A wave has several properties: speed (V), frequency (f), and wavelength (λ). These properties are related through the equation: \[ V = f \cdot \lambda \] 2. **Identify Relationships**: - From the equation \( V = f \cdot \lambda \), we can see that speed (V) is the product of frequency (f) and wavelength (λ). This implies that if one of these properties changes, the others must adjust to maintain the equality. 3. **Consider the Medium**: - When a wave travels through different media, its speed can change. For example, light travels slower in water than in air. However, the frequency of the wave remains constant when it transitions between media. 4. **Analyze Frequency**: - Since frequency does not change when a wave moves from one medium to another, it is independent of the wavelength and speed in that context. Thus, even if the speed and wavelength change due to the medium, the frequency remains constant. 5. **Conclusion**: - Therefore, the property that is independent of the others when a wave propagates in a medium is **frequency**. ### Final Answer: The property that is independent of the others for a wave propagating in a medium is **frequency**.

To solve the question of identifying the property of a wave that is independent of the others when a wave propagates in a medium, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Basic Wave Properties**: - A wave has several properties: speed (V), frequency (f), and wavelength (λ). These properties are related through the equation: \[ V = f \cdot \lambda ...
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