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 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 tuning fork B before it was loaded is (A) 512 Hz (B) 507 Hz (C) 517 Hz (D) 522 Hz

Tardigrade Admin · Accepted Answer

fA ∼ fB=5 On loading fB decreases and again beats produced are 5 per second. Hence in later case fA ∼ fB=5 originally fB-fA=5 FB=5+512=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 tuning fork $B$ before it was loaded is

512 Hz

507 Hz

517 Hz

522 Hz

$f_{A} \sim f_{B} = 5$
On loading $f_{B}$ decreases and again beats produced are $5$ per second.
Hence in later case $f_{A} \sim f_{B} = 5$ originally
$f_{B} - f_{A} = 5$
$F_{B} = 5 + 512 = 517 Hz$

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 tuning fork B before it was loaded is