Physics, asked by darshangunjal36, 10 months ago

a string is divided into three segments so that the segments hava fundamental frequencies in the ratio 1 : 2 : 3 the length of three segments are in the ratio ​

Answers

Answered by gadakhsanket
6

Dear Student,

◆ Answer -

6 : 3 : 2

● Explanation -

We know that fundamental frequency of the waves is inversely proportional to length of the string.

f ∝ 1/l

So now ratio of lengths will be -

l1 : l2 : l3 = 1/f1 : 1/f2 : 1/f3

l1 : l2 : l3 = 1/1 : 1/2 : 1/3

l1 : l2 : l3 = 6 : 3 : 2

Hence, the length of three segments are in the ratio 6:3:2.

Thanks dear. Hope this helps you..

Answered by aristocles
0

Answer:

Ratio of the length of three segments is given as

L_1 : L_2 : L_3 = 1 : \frac{1}{2} : \frac{1}{3}

Explanation:

As we know that fundamental frequency is given by the formula

f = \frac{1}{2L}\sqrt{\frac{T}{\mu}}

now we know that ratio of frequency in the string is

f_1 : f_2 : f_3 = 1 : 2 : 3

now by above formula we know that

\frac{1}{2L_1}\sqrt{\frac{T}{\mu}} : \frac{1}{2L_2}\sqrt{\frac{T}{\mu}} : \frac{1}{2L_3}\sqrt{\frac{T}{\mu}} = 1 : 2 : 3

so we will have

L_1 : L_2 : L_3 = 1 : \frac{1}{2} : \frac{1}{3}

#Learn

Topic : Standing waves

brainly.in/question/1986806

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