Solving Sonar Wavelength for Bats Detecting Mosquitos

[wakejosh]

Homework Statement

a bat operates on SONAR system at a frequency of about 50khz. Since SONAR only responds to targets larger than one wavelength in size, can't he bat detect mosquitos that are about 2mm in size?

Homework Equations

v= change in x/change in t

The Attempt at a Solution

for 50 KHz i find the wavelength to be 6.88 mm, so the bat will not detect the small 2mm mosquitos. is this correct?

 

[Kurdt]

looks alright to me, but I'm not sure why you posted that equation. The one you need to use and it looks like you have is $$c=f\lambda$$