Question

To increase the frequency of a stringed musical instrument, one should

• A. loosen and shorten the string
• B. tighten and loosen the string
• C. shorten and tighten the String
• D. lengthen and loosen the string

Answer 1

The correct option is C shorten and tighten the String

frequency $f=\frac{1}{2l}\sqrt{\frac{T}{\mu }}$
$\therefore f\alpha \frac{1}{l}\Rightarrow$ length has to be shortened by tightenins tension increases
$\therefore$ frequency increases when length is shortened and tension is increased