a) A light string is attatched to a heavy rope, and the whole thing is pulled ti

Question

a) A light string is attatched to a heavy rope, and the whole thing is pulled tight.   A wave is sent along the light string.   When it hits the heavy rope, compared to the wave on the string, the wave that propagates along the rope has the same (A) frequency (B) wavelength (C) both frequency and wavelength (D) neither?

b) Under water, dolphins emit sounds which have a wavelength of 5.76 mm. In air the same sounds have a wavelength of 1.36 mm. From this information, and the fact that the speed of sound is 343 m/s in air, how large is the speed of sound in water?

Explanation / Answer

a)

here , for both the ropes ,

as fundamental wavelength will be 2*L

frequency will be difference as the mass density of rods will be different.

the wave propagates along the rope has the same B) Wavelength

b)

as the frequency of sound waves will be same

frequency = speed of sound/wavelength

speed of sound in water/5.76 = 343/1.36

solving

speed of sound in water = 1452.7 m/s

the speed of sound in water is 1452.7 m/s

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