Question

Which of these waves has the greatest frequency?

Question 46 options:

Wave having a length of 9 meters and a height of 6 meters.

Wave having a length of 20 meters and a height of .5 meters.

Wave having a length of 10 meters and a height of 1.5 meters.

Wave having a length of 14 meters and a height of 4 meters.

Answer 1

To determine which wave has the greatest frequency, we need the wave speed or the period along with the wavelength. Without this information, we cannot accurately calculate the frequency from just the wave's length and height.

Step-by-step explanation:

The question related to wave frequency requires an understanding of the relationship between the wavelength and frequency. According to wave mechanics, the frequency of a wave is inversely proportional to its wavelength, given by the formula f = v / λ, where f is the frequency, v is the speed of the wave, and λ is the wavelength. The speed of the waves is not given, but it is assumed to be constant for all the waves under consideration. Therefore, the wave with the shortest wavelength will have the highest frequency.

In this case, without any information about the speed of the waves or the time they take to pass a fixed point, we cannot determine which one has the greatest frequency based solely on the provided wave lengths and heights. We would need either the wave speed or period to calculate the frequency.

Answer 2

Wave having a length of 9 meters and a height of 6 meters.

Step-by-step explanation:

Assuming that this is a sound wave or an electromagnetic wave, we know that those have a constant speed.

The speed of sound and speed of light are the same for any sound or electromagnetic wave respectively.

And we also have the equation:

v = λ*f

Where:

v = velocity

f = frequency

λ = wavelength

And because v is a constant, we can write:

f = v/λ

Now the wavelength is in the denominator, then the wave with the smaller wavelength will be the one with a larger frequency.

The option with the smallest wavelength is

Wave having a length of 9 meters and a height of 6 meters.

Notice that the height of the waves is also given, this is actually related to the intensity of the wave, so that information does not affect this particular question.