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 $\frac{1}{v^{2}}$ .

Question

Quizplus · Accepted Answer

The Answer is E

The Wave Equation Is Written Down in an Exam As d2ydx2=v2d2ydt2\frac{d^{2} y}{d x^{2}}=v^{2} \frac{d^{2} y}{d t^{2}}dx2d2y​=v2dt2d2y​

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