The tension in a uniform string is increased from T to 9T while the linear mass density remains unchanged. If the initial wave speed is v and the new wave speed is Nv, find N.
Physics · Wave Motion · question based on string wave
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Question

The tension in a uniform string is increased from T to 9T while the linear mass density remains unchanged. If the initial wave speed is v and the new wave speed is Nv, find N.

G1 Physics · Accepted Answer

Wave speed is v = √(T/μ). Therefore, v ∝ √T when μ is unchanged. Thus, v(new)/v(old) = √(9T/T) = 3. Hence, N = 3.