A source s emitting sound of 400 Hz is fixed on block A which is attached to free end of a spring `S_A`. The detector D fixed on block B attached to the free end of spring `S_B` detects this sound. The blocks A and B are simultaneously displaced towards each other through a distance of 1. Om and then left to vibrate. If vibrational frequency of each block is 3 Hz, the maximum frequencies of sound detected by Dis n hz. Then, what is the value of `n/10`? `(upsilon_"sound"` = 340m/s)

Answer

`44.80`

Explanation

`omega=2piupsilon=2pi(3)=6pi`
`:. omega=18.85 "rades"^(-1)`
Maximum speed of motion of `abs(varepsilon_A) and abs(varepsilon_B)=Aomega`
`f_max=((v+v_B)/(V-V_A))f= ((340+A omega)/(340-Aomega))f`
`((340+18.85)/(340-18.85))400`
`=((358.58)/(321.15)) xx 400`
`1.12 xx 400`
`f_max=448 Hz`