Total length of the wire, L=114 cm n1:n2:n3=1:3:4 Let L1, L2 and L3 be the lengths of the three parts As n∝ L1 ∴L1:L2:L3=11:31:41=12:4:3∴L1=72 cm(12+4+312×114)L2=24 cm(194×114) and L3=18 cm(193×114) Hence the bridges should be placed at 72 cm and 72+24=96 cm from one end.
A sonometer wire of length 114 ~cm is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments…
JEE Main 2013 — Physics Waves & Oscillations
2013mcqmedium
A sonometer wire of length 114 cm is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio 1:3:4 ?
Official previous-year question
Held on 23 Apr 2013 · Verified 6 Jul 2026.
Options
- A
At 36 cm and 84 cm from one end
- B
At 24 cm and 72 cm from one end
- C
At 48 cm and 96 cm from one end
- D
At 72 cm and 96 cm from one end
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