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show that when a string fixed as its two ends vibrates in 1 loop,2 loop,3loop and 4loops. the frequencies are in the ratio 1:2:3:4

Asked by futureisbright051101 4th March 2018, 7:05 PM
Answered by Expert
Answer:
Figure shows the wavelenths for 1-loop, 2-loop, 3-loop and 4-loop.
 
The relation connecting frequency n, wavelengh λ and velocit v is :  v = nλ  
 
hence we have n = v/λ
 
As given in the figure, frequency ratio is [ v / (2 l ) ] : [ v / l ] : [ v / ( (2/3) l ) ] : [ v / (l/2) ]  = 1 : 2 : 3 : 4
Answered by Expert 6th March 2018, 6:01 PM
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