Question #cef58
1 Answer
Explanation:
The idea here is that wavelength and frequency have an inverse relationship that depends on the speed of the wave
#color(blue)(ul(color(black)(lamda * nu = v)))#
Here
#lamda# is the wavelength of the wave#nu# is its frequency#v# is the speed of the wave
In your case, you know that the generator produces
#nu = "50 pulses"/"1 s" = "50 s"^(-1)#
Rearrange the equation to solve for
#lamda * nu = v implies lamda = v/(nu)#
and plug in your values to find
#lamda = ("2.0 cm" color(red)(cancel(color(black)("s"^(-1)))))/(50color(red)(cancel(color(black)("s"^(-1))))) = "0.04 cm"#
If you want, you can convert this to meters by using the fact that
#"1 m" = 10^2# #"cm"#
to get
#color(darkgreen)(ul(color(black)(lamda = 4 * 10^(-4)color(white)(.)"m")))#
The answer is rounded to one significant figure.