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9. (a) A 1 m long string has a mass per unit length of 1.5×10−3 kg/m...

9. (a) A 1 m long string has a mass per unit length of 1.5×10−3 kg/m and is under a tension of 35 N. Find the first four harmonics of this string.

(b) A given pipe is 1.5 m long. If the speed of sound through this pipe is 343 m/s, what are the frequencies of the first three harmonics of the pipe when it is: (i) open at both ends, (ii) open at only one end.

10. A truck on a highway moves towards a police car sitting on the side of the highway. If the truck emits sound with a frequency of 1250 Hz as it moves, and an officer in the police car

detects a frequency of 1700 Hz for the sound, how fast is the truck moving?

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