Respuesta :
Answer:
6.136 mm
Explanation:
given,
frequency emitted by the bat = 5.59 x 10⁴ Hz
speed of sound = 343 m/s
smallest insect bat can hear will be equal to the wavelength of the sound the bat make.
[tex]\lambda = \dfrac{v}{f}[/tex]
[tex]\lambda = \dfrac{343}{5.59\times 10^4}[/tex]
[tex]\lambda = 6.136\times 10^{-3}}[/tex]
λ = 6.136 mm
so, the smallest size of insect that bat can hear is equal to 6.136 mm
The smallest insect a bat can detect is of size 6.13 mm
Explanation:
Velocity = Wavelength x Frequency
v = fλ
Velocity of sound, v = 343 m/s
Frequency, f = 5.59 x 10⁴ Hz
Substituting
343 = Wavelength x 5.59 x 10⁴
Wavelength = 6.13 x 10⁻³ m = 6.13 mm
A bat can detect small objects, such as an insect, whose size is approximately equal to one wavelength of the sound the bat makes.
The smallest insect a bat can detect is of size 6.13 mm