Question
A student ties a rope to a flagpole and shakes the rope rhythmically, creating a wave with a wavelength of 50 cm. The student then changes the pattern, creating waves with a wavelength of 25 cm. What other effect is correlated with this change?(1 point)
Responses
a change in wave speed.
a change in wave speed.
no change is expected
no change is expected
a change in amplitude.
a change in amplitude.
a change in frequency.
Which equation shows the relationship between the components of Wave 1 and Wave 2 that pass through the same medium?(1 point)
Responses
f = λ1v1 = λ2v2
f = λ1v1 = λ2v2
v = f1λ1 = f2λ2
v = f1λ1 = f2λ2
f = v1λ1 = v2λ2
f = v1λ1 = v2λ2
v = λ1f1 = λ2f2
A student ties a rope to a flagpole and shakes the rope rhythmically, creating a wave with a wavelength of 50 cm. The student then changes the pattern, creating waves with a wavelength of 25 cm. What other effect is correlated with this change?(1 point)
Responses
a change in wave speed.
a change in wave speed.
no change is expected
no change is expected
a change in amplitude.
a change in amplitude.
a change in frequency.
Responses
a change in wave speed.
a change in wave speed.
no change is expected
no change is expected
a change in amplitude.
a change in amplitude.
a change in frequency.
Which equation shows the relationship between the components of Wave 1 and Wave 2 that pass through the same medium?(1 point)
Responses
f = λ1v1 = λ2v2
f = λ1v1 = λ2v2
v = f1λ1 = f2λ2
v = f1λ1 = f2λ2
f = v1λ1 = v2λ2
f = v1λ1 = v2λ2
v = λ1f1 = λ2f2
A student ties a rope to a flagpole and shakes the rope rhythmically, creating a wave with a wavelength of 50 cm. The student then changes the pattern, creating waves with a wavelength of 25 cm. What other effect is correlated with this change?(1 point)
Responses
a change in wave speed.
a change in wave speed.
no change is expected
no change is expected
a change in amplitude.
a change in amplitude.
a change in frequency.
Answers
GPT-4o mini
When the student creates waves with a shorter wavelength (25 cm compared to 50 cm), one of the key principles of wave behavior is that wavelength and frequency are inversely related, assuming the wave speed remains constant. As the wavelength decreases, the frequency must increase to maintain the wave’s speed. Therefore, the correct response to the first question is:
**a change in frequency.**
Regarding the equation that shows the relationship between the components of Wave 1 and Wave 2 that pass through the same medium:
The relationship that links frequency (f), wavelength (λ), and wave speed (v) is given by the equation:
**v = fλ.**
So, if you rewrite it in the context of two different waves (Wave 1 and Wave 2), we can express it as:
**v = λ1f1 = λ2f2.**
Thus, the correct response to the second question is:
**v = λ1f1 = λ2f2.**
**a change in frequency.**
Regarding the equation that shows the relationship between the components of Wave 1 and Wave 2 that pass through the same medium:
The relationship that links frequency (f), wavelength (λ), and wave speed (v) is given by the equation:
**v = fλ.**
So, if you rewrite it in the context of two different waves (Wave 1 and Wave 2), we can express it as:
**v = λ1f1 = λ2f2.**
Thus, the correct response to the second question is:
**v = λ1f1 = λ2f2.**