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  4. A source x of unknown frequency produces 8 beats with a source of 250 Hz and 12 beats with a source of 270 Hz. The frequency of source X is

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Q. A source x of unknown frequency produces 8 beats with a source of 250 Hz and 12 beats with a source of 270 Hz. The frequency of source X is

Waves

Solution:

Beats per second $=\left|v_{ x }-v_{ y }\right|$
So from the first condition, we get $v_{x}=258 Hz$ or $242 Hz$
So from the first condition, we get $v_{x}=258 Hz$ or $282 Hz$
Thus frequency is $258 Hz$.