1.

A tuning fork vibrating with a sonometer wire of length 20cm produces 5 beats per second. The beat frequency does not change if the length of the wire is changed to 21cm. The frequency of the tuning fork must be

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Answer:

Fundamental frequency is:

n = 1/2l √T/m

n 1/l

assume for 20CM frequency is n1

and for 21 CM frequency is n2

So

n1/n2 = 21/20

then n1 = 21x and n2 = 20x

Let frequency NF for producing 5 beats so n1 > nf > n2

So n1 - nf = 5

21x - nf = 5 ....(i)

And nf - n2 = 5

nf - 20x = 5 .....(ii)

from (1) ans (2) we GET x = 205 hz


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