Respuesta :
Given that,
Frequency = 100 Hz
Velocity = 20 m/s
Suppose, Determinar la diferencia de frecuencia entre la onda que recibe el observador directamente de la sirena y la onda que le llega reflejada en el acantilado.
We need to calculate the frequency heard by the observer directly from source
Using formula of frequency
[tex]f_{1}=f\times(\dfrac{v}{v-v_{s}})[/tex]
Where, v = speed of sound
[tex]v_{s}[/tex] = speed of source
f = frequency of source
Put the value into the formula
[tex]f_{1}=100\times\dfrac{340}{340-20}[/tex]
[tex]f_{1}=106.25\ Hz[/tex]
We need to calculate the frequency heard by the observer coming after reflection from cliff
Using formula of frequency
[tex]f_{2}=f\times(\dfrac{v}{v+v_{s}})[/tex]
Put the value into the formula
[tex]f_{2}=100\times\dfrac{340}{340+20}[/tex]
[tex]f_{2}=94.4\ Hz[/tex]
We need to calculate the difference of frequency
Using formula for difference of frequency
[tex]\Delta f=f_{1}-f_{2}[/tex]
Put the value into the formula
[tex]\Delta f=106.25-94.4[/tex]
[tex]\Delta f=11.85\ Hz[/tex]
Hence, The difference of frequency is 11.85 Hz.
