Question

How can a stretched string of length 114cmbe divide into three segments so that fundamental frequency of three segments be ratio of 1:3:4??

Answer 1

114 cm and three parts with frequency ratio of 1:3:4 ;;
Simple just divide the string in the same ratio..

1st part - 1/8*114 = 14.25cm
2nd part - 3/8*114 = 42.75cm
3rd part - 4/8*114 = 57 cm

And that you string divided..
Hope this helps..