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A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tuning fork of frequency 416 Hz. The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to
  • a)
    1kg
  • b)
    2kg
  • c)
    4kg
  • d)
    16kg
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A sonometer wire supports a 4 kg load and vibrates in fundamental mode...
Load supported by sonometer wire = 4 kg 
Tension in sonometer wire = 4 g 
If μ = mass per unit length
then frequency 

When length is doubled, i.e,, l' = 2l
Let new load = L 
As, v' = v
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Question Description
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