Suppose you watch a leaf bobbing up and down as ripples pass it by in a pond. you notice that it does two full up and down bobs each second. which statement is true of the ripples on the pond?

Question: Suppose you watch a leaf bobbing up and down as ripples pass it by in a pond. you notice that it does two full up and down bobs each second. which statement is true of the ripples on the pond?

In this blog post, we will explore the physics of water waves and how they affect objects floating on the surface. We will use a simple example of a leaf bobbing up and down as ripples pass it by in a pond. We will also learn how to measure the frequency and wavelength of the ripples and what they tell us about the speed of the waves.

Let's start with some definitions. A wave is a disturbance that travels through a medium, such as water, air, or solid. A ripple is a type of wave that forms on the surface of water when it is disturbed by wind, rain, or other factors. A leaf is an object that floats on the water and moves up and down as the ripples pass underneath it.

The frequency of a wave is the number of times it repeats itself in a given time interval. For example, if a leaf does two full up and down bobs each second, then the frequency of the ripples is two cycles per second, or two hertz (Hz). The frequency of a wave depends on the source of the disturbance and how fast it moves.

The wavelength of a wave is the distance between two consecutive points that have the same phase, such as two crests or two troughs. For example, if the distance between two adjacent crests of the ripples is 10 cm, then the wavelength of the ripples is 10 cm. The wavelength of a wave depends on the frequency and the speed of the wave.

The speed of a wave is the distance it travels in a given time interval. For example, if a ripple travels 20 cm in one second, then the speed of the ripple is 20 cm/s. The speed of a wave depends on the properties of the medium, such as its density and elasticity.

Now that we have these concepts clear, let's go back to our question: which statement is true of the ripples on the pond?

A) The ripples have a frequency of 2 Hz and a wavelength of 10 cm.

B) The ripples have a frequency of 2 Hz and a speed of 10 cm/s.

C) The ripples have a wavelength of 10 cm and a speed of 20 cm/s.

D) The ripples have a frequency of 2 Hz and a speed of 20 cm/s.

The correct answer is D. We can use the formula v = f * λ to calculate the speed of the ripples, where v is the speed, f is the frequency, and λ is the wavelength. Plugging in the values we know, we get:

v = 2 Hz * 10 cm

v = 20 cm/s

Therefore, the ripples have a frequency of 2 Hz and a speed of 20 cm/s. This means that they travel 20 cm in one second and complete two cycles in that time.

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