Question

A. B and C are three tuning forks. Frequency of A is 350Hz. Beats produced by A and B are 5 per second and by B and C are 4 per second. When a wax is put on A beat frequency between A and B is 2Hz and between A and C is 6Hz. Then, find the frequency of B and C respectively.

Answer 1

$answer:f_b=345Hz,f_c=341$ or $349Hz$

$f_a=350$

$|f_a-f_b|=5$

$|f_b-f_c|=4$

since on adding wax frequency of A reduced , the difference between frequency of A and B also reduced this means frequency A >frequency B

now ,

$f_a-f_b=5$

$350-f_b=5$

$f_b=345$

if $f_b>f_c$

$f_b-f_c=4$

$f_c=341Hz$

if $f_b<f_c$

$f_c-f_b=4$

$f_c=349Hz$