A sonometer wire when vibrated in full length has frequency n. Now, it is divided by the help of bridges into a number of segments of lenths `l_(1),l_(2),l_(3)…` when vibration these segments have frequencies `n_(1), n_(2), n_(3),,,` Then, the correct relation is

A sonometer wire when vibrated in full length has frequency n. Now, it is divided by the help of bridges into a number of segments of lengths l_(1),l_(2),l_(3)… when vibrating these segments have frequencies n_(1), n_(2), n_(3),,, Then, the correct relation is

When a string is divided into three segments of lengths l_(1),l_(2) and l_(3) the fundamental frequencies of these three segments are v_(1), v_(2) and v_(3) respectively. The original fundamental frequency (v) of the string is

When a string is divided into three segments of lengths l_(1),l_(2) and l_(3) the fundamental frequencies of these three segments are v_(1), v_(2) and v_(3) respectively. The original fundamental frequency (v) of the string is

When a string is divided into three segments of length l_(1) , l_(2), and l_(3) the fundamental frequencies of these three segments are v_(1) , v_(2) and v_(3) respectively . The original fundamental frequency (v) of the string is

A stretched wire of lenth 110 cm is divided into three segments whose frequencies are in ratio 1 : 2 : 3. Their length must be

A stretched wire of lenth 110 cm is divided into three segments whose frequencies are in ratio 1 : 2 : 3. Their length must be

A thin wire of 99 cm is fixed at both ends as shown in figure. The wire is kept under a tension and is divided into three segments of lengths l_(1),l_(2) and l_(3) as shown in figure. When the wire is made to vibrate, the segment vibrate respectively with their fundamental frequencies in the ratio 1:2:3 . Then the lenghts l_(1),l_(2),l_(3) of the segments respectively are (in cm)