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 1:3: 5 .
A
cm, 
cm
B
cm, 
cm
C
cm, 
cm
D
cm, 
cm
Text Solution
Verified by ExpertsThe correct answer is:
D
Let 
be the length of the wire and 
and 
are the lengths of the segments as shown in the figure.
Fundamental frequency, 
As the fundamental frequencies are in the ratio of 1 
Let 
be the common factor. Then
cm
cm; 
cm
The bridges should be placed from 
at 
cm and 
cm respectively.
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