These prolems are fer pmetice oniy and do fhot eoant Jor your mark. tse them to

Question

These prolems are fer pmetice oniy and do fhot eoant Jor your mark. tse them to develop yaur problem-soleing skslla.10. As a T. Comsider a cord with txo sections, of linesr denaity freqey 0.122kg/m and 0.238 kg/m, respectively. A harmonle wae travels along the Brst section of the cord as shown: servedl fre sound In 5.30m th The ware on the lighter section of the cond is given by at Ilzt: the r,t) 0031 sin(607s-10.5t) where r and y are in meters, and t in seconds. What is the wavelength of this wave when it travels along the heavier so wate tion of the cord? (ans. 0.741 m) nd+ 8. A tightrope walker notices a scorpion on the middle of the uion locee by wiggling

Explanation / Answer

from the given equation

k = 6.07 m^-1

the relation between wave number and wavelength is

k = 2 pi/ lamda1

lamda 1 = 2 pi/ k = 2 pi/6.07 = 1.035 m

k1/ k2 = lamda2/ lamda 1

The relation between v, w and k

v= w/ k

sqrt T/ u = w/ k

T/u = sqrt w/k

k1/ k2 = lamda 2/ lamda1 = sqrt u1/ u2

lamda 2 = lamda 1 sqrt u1/ u2

= 1.035 sqrt 0.122/0.238

=0.741 m

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