Two uniform strings a and b made of steel

Asked by admin @ 12/08/2021 in Physics viewed by 262 People

Two uniform strings 'A' and 'B' made of steel

are made to vibrate under the same tension. If thefirst overtone of 'A' is equal to the second overtoneof 'B' and if the radius of 'A' is twice that of 'B' theratio of the lengths of the string is

Answered by admin @ 12/08/2021

Answer:

2:1

Explanation:

f={(1/2L) × root of ( T/ pie r^2 d) }

L is directly proportional to r

therefore, L1:L2 =rA/rB

or, L1:L2=2rB/rB

or, L1:L2= 2:1

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