A bat (Bat 1) flying at a speed of 12 ms-1 emits ultrasound at a frequency of 30 kHz. Another bat (Bat 2) is flying directly towards the first one at 5+ N/20 ms-1, where N is given by the last two digits of your student number. Bat 2 reflects back some of the ultrasound and the echo is detected by Bat 1. Take the speed of sound in air to be 334 m s-1. (a) What is the frequency detected by Bat 2? (b) What is the frequency of the echo detected by Bat 1? Calculate both frequencies to an accuracy of 1 Hz. Hints: Start with the general formula for the Doppler effect. Check in each case that the detected frequency has increased or decreased as expected.

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A bat (Bat 1) flying at a speed of 12 m s-1 emits ultrasound at a frequency of 30 kHz. Another
bat (Bat 2) is flying directly towards the first one at 5 + N/20 ms-1, where N is given by the
last two digits of your student number. Bat 2 reflects back some of the ultrasound and the echo
is detected by Bat 1. Take the speed of sound in air to be 334 ms-1.
(a) What is the frequency detected by Bat 2?
(b) What is the frequency of the echo detected by Bat 1?
Calculate both frequencies to an accuracy of 1 Hz.
Hints: Start with the general formula for the Doppler effect. Check in each case that the
detected frequency has increased or decreased as expected.
Transcribed Image Text:A bat (Bat 1) flying at a speed of 12 m s-1 emits ultrasound at a frequency of 30 kHz. Another bat (Bat 2) is flying directly towards the first one at 5 + N/20 ms-1, where N is given by the last two digits of your student number. Bat 2 reflects back some of the ultrasound and the echo is detected by Bat 1. Take the speed of sound in air to be 334 ms-1. (a) What is the frequency detected by Bat 2? (b) What is the frequency of the echo detected by Bat 1? Calculate both frequencies to an accuracy of 1 Hz. Hints: Start with the general formula for the Doppler effect. Check in each case that the detected frequency has increased or decreased as expected.
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