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The length of the wire between two ends of a sonometer is 100 cm. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio of 1 : 3 : 5?              [NEET Kar. 2013]
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The length of the wire between two ends of a sonometer is 100 cm. What...
Answer :- a
Solution :- Fundamental frequency (v) = 1/L
As the fundamental frequencies are in the ratio of 1:3:5,
L1 : L2 : L3 = 1/1 : 1/3 : 1/5  => 15 : 5 : 3
Let x be the common factor , then
15x + 5x + 3x = L = 100
23x = 100 
=> x = 100/23
L1 = 15*100/23 = 1500/23
L2 = 5*100/23 = 500/23
L3 = 3*100/23 = 300/23
The bridge should be placed from A at (1500/23 , 2000/23)
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The length of the wire between two ends of a sonometer is 100 cm. What...
Answer :- a
Solution :- Fundamental frequency (v) = 1/L
As the fundamental frequencies are in the ratio of 1:3:5,
L1 : L2 : L3 = 1/1 : 1/3 : 1/5  => 15 : 5 : 3
Let x be the common factor , then
15x + 5x + 3x = L = 100
23x = 100 
=> x = 100/23
L1 = 15*100/23 = 1500/23
L2 = 5*100/23 = 500/23
L3 = 3*100/23 = 300/23
The bridge should be placed from A at (1500/23 , 2000/23)
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