Question

11. A stretched sonometer Wire is in unison with
a tuning fork, When the length of the wire is
increased by 5%, the oumber of beats per second
is 10. Find the Frequency of tuning Fork​

Answer 1

Answer:

Let length of wire is L

Length is increased by 4%

then number of beat heard per second =6

n

1

−n

2

=6/s=6Hz..................(1)

n

1

and n

2

are the frequency of initial and final.

n=

2l

1

m

T

Now,n

1

l

1

=n

2

l

2

n

1

l

1

=n

2

×1.042

or,n

1

=n

2

×1.04

or,n

1

=

25

26

n

2

or,25n

1

=26n

2

or,n

2

=

26

25

n

2

.........(2)

from(1)and(2)weget

n

1

−

26

25

n

1

=6

or,n

1

=156Hz

∴Frequencyofturningforkis156Hz