You have two string segments of equal length. Segment 1 has linear mass density μ₁and segment 2 has linear mass density μ2. You splice the two together and then tie the combination tautly between two posts. You've spliced in such a way that, once attached to the posts, the length of segment 1 to the left of the splice is the same as the length of segment 2 to the right of the splice. When you pluck at a particular frequency you set up a standing wave that has this pattern: nodes at the splice and where each segment is attached to its pole, plus m more nodes in segment 1 and n more nodes in segment 2. a) What is the numerical value of ¹? Draw 2 diagrams with a few H₂ different values of m and n so that you can see the pattern for different m and n

You have two string segments of equal length. Segment 1 has linear mass density μ₁and segment 2 has linear mass density μ2. You splice the two together and then tie the combination tautly between two posts. You've spliced in such a way that, once attached to the posts, the length of segment 1 to the left of the splice is the same as the length of segment 2 to the right of the splice. When you pluck at a particular frequency you set up a standing wave that has this pattern: nodes at the splice and where each segment is attached to its pole, plus m more nodes in segment 1 and n more nodes in segment 2. a) What is the numerical value of ¹? Draw 2 diagrams with a few H₂ different values of m and n so that you can see the pattern for different m and n