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  4. A tuning fork of unknown frequency produces 4 beats per second when sounded with another tuning fork of frequency 254 Hz. It gives the same number of beats per second when unknown tuning fork loaded with wax. The unknown frequency before loading with wax is

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Q. A tuning fork of unknown frequency produces $4$ beats per second when sounded with another tuning fork of frequency $254 \,Hz$. It gives the same number of beats per second when unknown tuning fork loaded with wax. The unknown frequency before loading with wax is

Waves

Solution:

Since there are $4$ beats. We know that the unknown frequency $(f)$.
$f=254+4$
Since in the second case after loading with wax frequency of $2^{\text {nd }}$ fork must have reduced. Initial frequency must be
$f=254+4=258 \,Hz$