You are creating a transverse wave in a rope by shaking your hand from side to side. Without changing the distance that your hand moves, you begin to shake it slower and slower.
What happens to the frequency? What happens to the amplitude? What happens to the wavelength?
A. it increases
B. it decreases
C. it stays the same
D. need to know the exact change in speed
The amplitude would be C. The wavelength would be A. The frequency would be C or B?
The frequency is how often you shake your hand up and down. That goes down in this case, because they say so. The wavelength gets longer, but you have to know what happens to wave speed to say how much. The wave speed depends upon how tightly the rope is held (the tension).
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ok gets
To understand what happens to the frequency, amplitude, and wavelength as you shake your hand slower and slower, let's break down these properties in a transverse wave:
1. Frequency: The frequency of a wave refers to the number of complete oscillations or cycles the wave completes in a given time. It is measured in hertz (Hz).
As you shake your hand slower and slower, the number of complete oscillations or cycles in a given time decreases. So, the frequency decreases.
2. Amplitude: The amplitude of a wave refers to the maximum displacement or maximum value the wave reaches from its equilibrium position. In other words, it measures the maximum height or depth of a wave.
The question states that you are not changing the distance your hand moves while shaking it. Therefore, the amplitude remains the same (C – it stays the same).
3. Wavelength: The wavelength of a wave is the distance between two corresponding points on consecutive cycles of a wave. It is usually represented by the Greek letter lambda (λ).
The wavelength and frequency of a wave are inversely proportional. In other words, as the frequency decreases (shaking your hand slower), the wavelength also decreases. Therefore, the wavelength decreases (B – it decreases).
So, to summarize:
- The frequency decreases.
- The amplitude stays the same.
- The wavelength decreases.
Therefore, the correct answers are:
- The frequency: B. it decreases
- The amplitude: C. it stays the same
- The wavelength: B. it decreases.