Question

A tuning fork and a sonometer wire sounded together produce 4 beats per second when the length of the wire is 95 cm or 100 cm. the frequency of the turning fork is

Solution

Correct option is

156 Hz

 

The frequency of the wire when its vibrating length is L1 = 95 cm and when its vibrating length L2 = 100 cm are given by 

                                  

                  

Thus V1 > V2. If N is the frequency of the tuning then   

                                   

Using (ii) in (i) we get V1 = 160 Hz and V2 = 152 Hz. Now V1 – N = 4 orN = V1 – 4 = 160 – 4 = 156 Hz.

SIMILAR QUESTIONS

Q1

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1: 2: 3. What is the ratio of their fundamental frequencies?

Q2

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Q3

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Q4

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Q5

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Q6

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Q7

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Q8

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Q9

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Q10

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