A tuning fork A of frequency 512 Hz produces 5 beats per second when sounded with another tuning fork B of unknown frequency. If B is loaded with wax the number of beats is again 5 per second. The frequency of the tuning fork B before it was loaded is

Question

A tuning fork A of frequency 512 Hz produces 5 beats per second when sounded with another tuning fork B of unknown frequency. If B is loaded with wax the number of beats is again 5 per second. The frequency of the tuning fork B before it was loaded is (A) 502 Hz (B) 507 Hz (C) 517 Hz (D) 522 Hz

Tardigrade Admin · Accepted Answer

Frequency of A , n =512 Hz Number of beats / sec , m =5 ∴ Frequency of B , n '=512 ± 5=517 or 505 On loading B, its frequency decreases from 517 to 505 , so that number of beats per second remains 5 . Hence, frequency of B, when not loaded =517 Hz

Q. $A$ tuning fork $A$ of frequency $512 Hz$ produces $5$ beats per second when sounded with another tuning fork $B$ of unknown frequency. If $B$ is loaded with wax the number of beats is again $5$ per second. The frequency of the tuning fork $B$ before it was loaded is

$502 Hz$

$507 Hz$

$517 Hz$

$522 Hz$

Frequency of $A, n = 512 Hz$
Number of beats $/ sec, m = 5$
$∴$ Frequency of $B, n^{'} = 512 \pm 5 = 517$ or $505$
On loading $B$ , its frequency decreases from $517$ to $505$ ,
so that number of beats per second remains $5$ .
Hence, frequency of $B$ , when not loaded $= 517 Hz$

Q. A tuning fork A of frequency 512Hz produces 5 beats per second when sounded with another tuning fork B of unknown frequency. If B is loaded with wax the number of beats is again 5 per second. The frequency of the tuning fork B before it was loaded is

502Hz

507Hz

517Hz

522Hz