A wave pulse on a string moves a distance of 8 m in 0.04 s. What would be the wavelength of the wave on the same string if its frequency is 200 Hz?
(A) 0.4 m (B) 0.5 m
(C) 0.8 m (D) 0.10 m.
f*wavelength=speed
200 L=8/.04
solve for L
To find the wavelength of the wave, we can use the formula:
wavelength = speed / frequency
First, we need to find the speed of the wave on the string. The speed of a wave on a string can be calculated using the formula:
speed = distance / time
In this case, the distance is given as 8 m and the time is given as 0.04 s. Plugging these values into the formula, we get:
speed = 8 m / 0.04 s = 200 m/s
Now that we have the speed of the wave, we can plug it into the wavelength formula along with the given frequency (200 Hz):
wavelength = speed / frequency = 200 m/s / 200 Hz = 1 m
Therefore, the wavelength of the wave on the same string would be 1 m.
Since none of the answer options provided match the calculated wavelength, it seems that there may have been an error in the given options or in the question itself.