Two tuning forks, A and B, produce notes of frequencies 258 Hz and 262 Hz. An unknown note sounded with A produces certain beats. When the same note is sounded with B, the beat frequency gets doubled. The unknown frequency is

Question

Two tuning forks, A and B, produce notes of frequencies 258 Hz and 262 Hz. An unknown note sounded with A produces certain beats. When the same note is sounded with B, the beat frequency gets doubled. The unknown frequency is (A) 250 Hz (B) 252 Hz (C) 254 Hz (D) 256 Hz

Tardigrade Admin · Accepted Answer

Given, nA=258 Hz, nB=262 Hz If it produces x beats with 258 and 2 x with 262 . 262-(258-x) =2 x 262-258+x =2 x x =4 n =254 Hz

Q. Two tuning forks, $A$ and $B$ , produce notes of frequencies $258 Hz$ and $262 Hz$ . An unknown note sounded with $A$ produces certain beats. When the same note is sounded with $B$ , the beat frequency gets doubled. The unknown frequency is

$250 Hz$

$252 Hz$

$254 Hz$

$256 Hz$

Given, $n_{A} = 258 Hz, n_{B} = 262 Hz$
If it produces $x$ beats with 258 and $2 x$ with $262.$
$262 - (258 - x) = 2 x$
$262 - 258 + x = 2 x$
$x = 4$
$n = 254 Hz$

Q. Two tuning forks, A and B, produce notes of frequencies 258Hz and 262Hz. An unknown note sounded with A produces certain beats. When the same note is sounded with B, the beat frequency gets doubled. The unknown frequency is

250Hz

252Hz

254Hz

256Hz