An unknown frequency x produces 8 beats per seconds with a freque… - Vidyadip

MCQ

An unknown frequency $x$ produces $8$ beats per seconds with a frequency of $250 Hz$ and $12$ beats with $270 Hz$ source, then $x$ is .... $Hz$

✓
$258$
B
$242$
C
$262$
D
$282$

✓

Answer

Correct option: A.

$258$

a
(a) Since source of frequency $x$ gives $8$ beats per second with frequency $250 Hz, $

it's possible frequency are $258$ or $242.$

As source of frequency $x$ gives $12$ beats per second with a frequency $270 Hz,$

it's possible frequencies $282$ or $258 Hz.$

The only possible frequency of $x$ which gives $8$ beats with frequency $250 Hz$ also $12$ beats per second with $258 Hz.$

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