Question

the shortest wavelength emitted in air by a bat is about 0.33cm,what is the highest frequency abat can emit?

Answer 1

Given:

Wavelength = 0.33 cm

To find:

Frequency = ?

Formula:

The relation between frequency and wavelength is given by,

c = n $\ lambda$

Solution:

The relation between frequency and wavelength is given by,

c = n $\ lambda$

where c = speed of light = 3 × $10^{8}$ $\frac{m}{s}$

$\lambda$ = wavelength emitted in air

n = frequency

Thus, $n = \frac{c}{\lambda}$

$n = \frac{3\times10^{8}}{0.33\times 10^{-2}}$

n = 9.09 $\times 10^{10}$ Hertz

thus, highest frequency emitted by bat is 9.09 $\times 10^{10}$ Hertz

Answer 2

The shortest wavelength in air emitted by a bat,

Wavelength = lemda = 0.33 cm = 0.33 x 10^-4 m

V = frequency * wavelength

You haven’t mentioned the velocity. If you have the value then just put in the equation with,

Frequency = v / wavelength

Frequency = v / (33 x 10^-4) Hz