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Wave speed v on a string depends on tension F and mass per length μ. Then v is proportional to?
A√(F/μ)
B√(μ/F)
CF/μ
D√(Fμ)
Answer & Solution
Correct answer: A. √(F/μ)
Matching [L T⁻¹] with [M L T⁻²]^a [M L⁻¹]^b gives a = 1/2 and b = -1/2, so v varies as √(F/μ).
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