Two organ pipes, closed at one end, when sounded together produce 3 beats/second. If their lengths are in the ratio of `101 : 100` , then the fundamental notes produced by them have the frequencies ( in Hz)

Options

A. 100 and 103
B. 206 and 203
C. 300 and 303
D. 400 and 403

Answer

C

Explanation

`n_(1)/n_(2) = l_(2)/l_(1) = 100/101 l_(1) gt l_(2) :. n_(1) lt n_(2) `
` :. (n_(2) - 3)/n_(2) = 100/101 `
`:. 101n_(2) - 303 = 100 n_(2) `
` :. n_(2) = 303 " Hz and " n_(1) = 300 ` Hz