A string of mass per unit length $\mu = 0.01$ kg/m is under tension $T = 100$ N. Wave speed on it is:
A$1$ m/s, the ratio of mass to tension here
B$10000$ m/s, the product of tension and rope mass
C$100$ m/s, from $v = \sqrt{T/\mu} = \sqrt{10000}$
D$10$ m/s, the square of the ratio rather than the root
Answer & Solution
Correct answer: C. $100$ m/s, from $v = \sqrt{T/\mu} = \sqrt{10000}$
$v = \sqrt{T/\mu} = \sqrt{100/0.01} = \sqrt{10000} = 100$ m/s.
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