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Map h Sapling Learning Dolphins rely on echolocation to be able to survive in the ocean. In a 20
°C ocean, a dolphin produces an ultrasonic sound with a frequency of 115 kHz. What is the
wavelength of this sound, in meters? Incorrect. Recall that the speed v of a wave is related to the
wavelength and wave frequency fby Number 13304.4 While remaining stationary, the dolphin
emits a sound pulse and receives an echo after 0.220 s. How far away, in meters, is the reflecting
object from the dolphin? Number 163.24 In Previous #Try Again ) Next Exit
Solution
Part A.
Wavelength is given by:
lambda = v/f
f = frequency = 115 kHz
v = speed of sound in water at 20 C = 1530 m/sec
So,
wavelength = 1530 m/sec/(115*10^3 Hz) = 1.33*10^-2 m = 0.0133 m
Part B.
Suppose that object is d meters away
Time taken for echo to return, T = 0.22 sec
T = t1 + t2
t1 = time taken for sound to reach the object
t2 = time taken by echo to return to dolphin from object
since both time sound have to travel same distance at same speed, So
t1 = t2
t1 + t2 = 0.220 sec
t1 = 0.220/2 = 0.110 sec
Now we know that
distance = speed*time
d = V*t = 1530*0.110
d = 168.3 m
Please Upvote.

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  • 1. Map h Sapling Learning Dolphins rely on echolocation to be able to survive in the ocean. In a 20 °C ocean, a dolphin produces an ultrasonic sound with a frequency of 115 kHz. What is the wavelength of this sound, in meters? Incorrect. Recall that the speed v of a wave is related to the wavelength and wave frequency fby Number 13304.4 While remaining stationary, the dolphin emits a sound pulse and receives an echo after 0.220 s. How far away, in meters, is the reflecting object from the dolphin? Number 163.24 In Previous #Try Again ) Next Exit Solution Part A. Wavelength is given by: lambda = v/f f = frequency = 115 kHz v = speed of sound in water at 20 C = 1530 m/sec So, wavelength = 1530 m/sec/(115*10^3 Hz) = 1.33*10^-2 m = 0.0133 m Part B. Suppose that object is d meters away Time taken for echo to return, T = 0.22 sec T = t1 + t2 t1 = time taken for sound to reach the object t2 = time taken by echo to return to dolphin from object since both time sound have to travel same distance at same speed, So
  • 2. t1 = t2 t1 + t2 = 0.220 sec t1 = 0.220/2 = 0.110 sec Now we know that distance = speed*time d = V*t = 1530*0.110 d = 168.3 m Please Upvote.