Guitar Strings

Q. A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1:2:3. What is the ratio of their fundamental frequencies?

1. 3:2:1
2. 4:2:1
3. 5:3:2
4. 6:3:2

Q. The length of a sonometer wire $\text{AB}$ is $110\text{cm}$. Where should the two bridges be placed (from $\text{A}$) to divide the wire into $3$ segments, whose fundamental frequencies are in the ratio of $1:2:3$ ?

1. $30\text{cm}$ and $90\text{cm}$
2. $40\text{cm}$ and $80\text{cm}$
3. $60\text{cm}$ and $90\text{cm}$
4. $30\text{cm}$ and $60\text{cm}$