Consider two uniform wires vibrating simultaneously in their fundamental notes. The tension, densities, lengths and diameter of the two wires are in the ratio 8:1, 1:2, x:y and 4:1 respectively. If the note of the higher pitch has a frequency of 360 Hz and the number of beats produced per second is 10, then the value of x:y is

Options

A. `36:35`
B. `35 :36`
C. `1:1`
D. `1:2`

Answer

A

Explanation

No. of beats =10
Frequency of higher pitch`f_(1)=360 Hz`
Frequency of lower pitch `f_(2)=360-10`
`=350 Hz`
`x:y` = Ratio of length
`l prop f`
`l_(1) : l_(1)= x:y= f_(1):f_(2)`
`=360 :350`
`36:35`