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a.) What is the mass of the string?

b.) With what tension must the string be stretched so that it vibrates in three segments at 150 Hz?

This is what I came up with:

a.) f=v/2L, v=2Lf=2*2*150=600 m/s

v=sqrt(T/μ), v^2=T/μ, μ=T/v^2=18/600^2=.00005 kg/m

M=2*.00005=

**.0001 kg**

b.) L=3λ/2, 2=3λ/2, λ=4/3

v=fλ=150*4/3=200 m/s

v^2=T/μ, T=μ*v^2=.00005*200^2=

**2 N**

Am I working both problems correctly?

Thanks