The Wave Equation Is Written Down in an Exam As $\frac{d^{2} y}{d x^{2}}=v^{2} \frac{d^{2} y}{d t^{2}}$

question 38

Multiple Choice

The wave equation is written down in an exam as: $\frac{d^{2} y}{d x^{2}}=v^{2} \frac{d^{2} y}{d t^{2}}$ From dimensional considerations we see that:

• A)v2 should be replaced by \(\frac{T}{\mu}\) .
• B)v2 should be replaced by \(\sqrt{\frac{T}{\mu}}\) .
• C)v2 should be replaced by v.
• D)v2 should be replaced by \(\frac{1}{v}\) .
• E)v2 should be replaced by \(\frac{1}{v^{2}}\) .

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