First slide

Stationary waves

Question

The tension in a piano wire is 10N. What should be the tension in the wire to produce a note of double the frequency

Moderate

A

5 N
B

20 N
C

40 N
D

80 N

Solution

$n \propto \sqrt{T} \Rightarrow \frac{n_{1}}{n_{2}} = \sqrt{\frac{T_{1}}{T_{2}}} \Rightarrow \frac{n}{2 n} = \sqrt{\frac{10}{T_{2}}} \Rightarrow T_{2} = 40 N$

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