Question

The violin has another string, called the D string, which is tuned to resonate at $293.7Hz$. If the lengths of a violin A and D string are decreased by half, what is the difference in resonant frequency between these two strings? (Round your answer to the nearest Hz.)

• A. $393$
• B. $394$
• C. $494$
• D. $586$

Answer 1

Answer: (A)

$393$

When length of both Strings is Halved ,their respective Frequencies becomes double as explained above

So new Frequencies will be $880Hz,587.4Hz$

Now, the difference between these frequencies will be

$\Rightarrow 880Hz-587.4Hz=292.6Hz$

and the Option Closest to the Answer is $\left(A\right)$