As shown in the figure, a sinusoidal wave travels to the right at a speed of v1

Question

As shown in the figure, a sinusoidal wave travels to the right at a speed of v1 along string 1, which has linear mass density µ1. This wave has frequency f1 and wavelength ?1. Since string 1 is attached to string 2 (which has linear mass density µ2 = 3µ1), the first wave will excite a new wave in string 2, which will also move to the right.

http://www.webassign.net/bauerphys1/15-p-057.gif

What is the frequency, f2 , of the wave produced in string 2? (Use the following as necessary: f1.)
f2 =

What is the speed, v2, of the wave produced in string 2? (Use the following as necessary: v1.)
v2 =

What is the wavelength, ?2, of the wave produced in string 2? (Use the following as necessary: ?1.)
?2 =

Explanation / Answer

frequecy depends on the source not on the medium f_2 = f_1 velocity v = sqrt(T / ) here T tenstion in the string is constant , v_2 / v_1 = sqrt( _1 / _2 ) = sqrt(1/3) v_2 = 0.577 v_1 wavelenghth = frequency * velocity frequency   is constant _2 / _1 = v_2 /v_1 _2 = 0.577 _1

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