The length of a sonometer wire AB is 110 cm. Where should the two bridges be placed from A to divide the wire in three segments whose fundamental frequencies are in the ratio of 1:2:3

Question

Dr. Abubacker · Accepted Answer

(b) As $n_{1}:n_{2}:n_{3} = 1:2:3$
$	herefore\ \ \ \ \ \ \ \ l_{1}:l_{2}:l_{3} = \frac{1}{1}:\frac{1}{2}:\frac{1}{3} = 6:3:2$
Sum of the ratio $= 6 + 3 + 2 = 11$
$	herefore\ l_{1} = \frac{110}{11} 	imes 6 = 60cm,\ l_{2} = \frac{110}{11} 	imes 3 = 30cm$
$	herefore$ wedges should be placed from A at 60cm and 90cm.

Q. The length of a sonometer wire AB is 110 cm. Where should the two bridges be placed from A to divide the wire in three segments whose fundamental frequencies are in the ratio of 1:2:3

Explanation

Reviewed by Dr. Abubacker

Want more practice?