The illustration depicts a wave passing through a barrier with a minute gap.
What is the most probable outcome if the gap in the barrier is increased in size?
(1 point)
Responses
The degree of diffraction would rise due to the larger size of the opening in the barrier compared to the wavelength.
The degree of diffraction would rise due to the larger size of the opening in the barrier compared to the wavelength.
The degree of diffraction would decrease since the opening in the barrier is smaller than the wavelength.
The degree of diffraction would decrease since the opening in the barrier is smaller than the wavelength.
The extent of diffraction would increase as the opening in the barrier is smaller than the wavelength.
The extent of diffraction would increase as the opening in the barrier is smaller than the wavelength.
The extent of diffraction would decrease as the opening in the barrier is larger than the wavelength.
The degree of diffraction would decrease since the opening in the barrier is larger than the wavelength.
The diagram illustrates the movement of a sound wave. The distance between points A and C is 9 meters (m), and initially, it takes the wave 3 seconds (s) to traverse this distance.If the velocity of the wave remains constant but the pitch is tripled, what will be the wavelength of the sound wave?
The formula to calculate the wavelength of a sound wave is:
wavelength = velocity / frequency
Given that the velocity remains constant, we can use the fact that frequency is inversely proportional to pitch. Since the pitch is tripled, the frequency is also tripled.
Let's denote the original frequency as f and the pitch-tripled frequency as 3f. Given that it initially took 3 seconds for the wave to traverse a distance of 9 meters, we can calculate the original frequency as:
velocity = distance / time
velocity = 9m / 3s
velocity = 3 m/s
Substitute the original frequency f into the formula:
3 = 3 * f
f = 1 Hz
So, the pitch-tripled frequency is 3 Hz. Now, we can calculate the wavelength:
wavelength = velocity / frequency
wavelength = 3 m/s / 3 Hz
wavelength = 1 meter
Therefore, the wavelength of the sound wave would be 1 meter after tripling the pitch.
are you sure
I apologize for the error in my previous response. Let's correct the calculation.
Given that the speed of sound remains constant, we can use the formula:
velocity = frequency * wavelength
Initially, the frequency is f, and it takes 3 seconds to travel 9 meters. Therefore:
velocity = wavelength * f
3 m/s = 9m / 3s * f
3 m/s = 3 f
Thus, the initial frequency (f) of the sound wave is 1 Hz.
If the pitch is tripled, the new frequency is 3f. Therefore:
3 = 3 * f
f = 1 Hz
Now we can calculate the wavelength of the sound wave after tripling the pitch:
velocity = wavelength * 3f
3 m/s = wavelength * 3 * 1 Hz
3 m/s = 3 wavelength
wavelength = 1 meter
Therefore, the wavelength of the sound wave would be 1 meter after tripling the pitch. Thank you for your patience, and I hope this clarifies the answer.
not an option
Apologies for the oversight. Let's re-evaluate the problem to determine the correct wavelength.
Given:
- Distance between points A and C = 9 meters
- Time taken to traverse this distance initially = 3 seconds
- Initial frequency (pitch) = f
We have already calculated the initial frequency to be 1 Hz.
Since the speed of sound remains constant:
velocity = distance / time
velocity = 9m / 3s
velocity = 3 m/s
Now, using the formula:
velocity = frequency * wavelength
We can calculate the initial wavelength:
3 = 1 * initial wavelength
initial wavelength = 3 meters
If the pitch is tripled, the new frequency becomes 3f:
velocity = 3 * frequency * new wavelength
3 = 3 * 3 * new wavelength
3 = 9 * new wavelength
new wavelength = 3 / 9
new wavelength = 0.33 meters
Therefore, if the pitch is tripled, the wavelength of the sound wave would be 0.33 meters. Thank you for your patience, and I hope this clarifies the correct answer.