What is the period of a wave with a wavelength of 8 cm and a frequency of 0.5 hertz?(1 point) Responses 0.0625 seconds 0.0625 seconds 2 seconds 2 seconds 4 seconds 4 seconds 0.125 seconds
The formula to calculate the period of a wave is T = 1/f, where T is the period and f is the frequency.
Given that the wavelength is 8 cm and the frequency is 0.5 Hz:
T = 1 / 0.5 = 2 seconds
Therefore, the period of a wave with a wavelength of 8 cm and a frequency of 0.5 Hz is 2 seconds.
So the correct answer is: 2 seconds
What is the period of a wave with a wavelength of 8 cm and a frequency of 0.5 hertz?(1 point) Responses 4 seconds 4 seconds 0.0625 seconds 0.0625 seconds 0.125 seconds 0.125 seconds 2 seconds
To find the period of the wave, you can use the formula:
Period (T) = 1 / frequency (f)
Given that the frequency is 0.5 Hz, you can calculate the period as:
T = 1 / 0.5 Hz
T = 2 seconds
Therefore, the period of a wave with a wavelength of 8 cm and a frequency of 0.5 hertz is 2 seconds.
So, the correct answer is: 2 seconds
Two ropes are identical. A wave traveling through the first rope has a frequency of 1.5 hertz and a wavelength of 6 meters. What is the frequency of a wave in the second rope if its wavelength is 2 meters?(1 point) Responses 1.5 hertz 1.5 hertz 3 hertz 3 hertz 9 hertz 9 hertz 4.5 hertz
We can use the formula:
v = f * λ
where:
v is the wave speed,
f is the frequency, and
λ is the wavelength.
Given that the two ropes are identical, the wave speed through both ropes is the same. Since the ropes are identical, the wave speed (v) is the same. Also, the wave speed is independent of the medium, so it remains constant.
For the first rope:
f1 = 1.5 Hz
λ1 = 6 m
For the second rope:
λ2 = 2 m (the wavelength is given)
Using v = f * λ:
v1 = f1 * λ1 = 1.5 Hz * 6 m = 9 m/s
Since the wave speed is the same in both ropes, we can calculate the frequency of the wave in the second rope using v = f * λ2:
f2 = v / λ2 = 9 m/s / 2 m = 4.5 Hz
Therefore, the frequency of the wave in the second rope with a wavelength of 2 meters is 4.5 hertz.
The correct answer is: 4.5 hertz.
If the wavelength of a wave in a particular medium is tripled, what will happen to the frequency of the wave?(1 point) Responses It will remain constant. It will remain constant. It will become one third of its original value. It will become one third of its original value. It will become triple its original value. It will become triple its original value. It will depend on the speed of the wave.
The speed of a wave is constant in a particular medium given that the properties of the medium remain constant. The speed of a wave is calculated as the product of its wavelength and frequency:
v = f * λ
If the wavelength of a wave in a particular medium is tripled, its frequency will decrease. This decrease is because the speed of the wave is constant, and the wavelength and frequency are inversely proportional. Therefore, if the wavelength increases (tripled in this case), the frequency must decrease to keep the speed constant.
Hence, if the wavelength is tripled, the frequency will become one third of its original value.
The correct response is: It will become one third of its original value.
In music, the note G above middle C has a frequency of about 392 hertz. If the speed of sound in the air is 340 m/s, what is the approximate wavelength of this note?(1 point) Responses 0.87 meters 0.87 meters 1.2 meters 1.2 meters 8.7 meters 8.7 meters 0.0026 meters
To find the wavelength of a sound wave, you can use the formula:
v = f * λ
Where:
v = Speed of sound in air (340 m/s)
f = Frequency of the note (392 Hz)
λ = Wavelength of the sound wave
Rearrange the formula to solve for wavelength (λ):
λ = v / f
Substitute the values given:
λ = 340 m/s / 392 Hz ≈ 0.86734694 meters
So, the approximate wavelength of the note G above middle C is about 0.87 meters.
The closest provided option is: 0.87 meters.