Two pipes are each 50,cm in length. One of th | vedclass

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(D) For a pipe of length $L = 0.5\,m$ closed at one end,the resonant frequencies are given by $f_c = \frac{(2n-1)v}{4L}$,where $n = 1, 2, 3, \dots$ Su

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(D) For a pipe of length $L = 0.5\,m$ closed at one end,the resonant frequencies are given by $f_c = \frac{(2n-1)v}{4L}$,where $n = 1, 2, 3, \dots$ Substituting values: $f_c = \frac{(2n-1) 	imes 340}{4 	imes 0.5} = (2n-1) 	imes 170\,Hz$. This gives frequencies: $170\,Hz, 510\,Hz, 850\,Hz, \dots$ For a pipe of length $L = 0.5\,m$ open at both ends,the resonant frequencies are given by $f_o = \frac{mv}{2L}$,where $m = 1, 2, 3, \dots$ Substituting values: $f_o = \frac{m 	imes 340}{2 	imes 0.5} = m 	imes 340\,Hz$. This gives frequencies: $340\,Hz, 680\,Hz, 1020\,Hz, \dots$ Comparing the two sets of frequencies,there is no common frequency at which both pipes can resonate.

Two pipes are each $50\,cm$ in length. One of them is closed at one end while the other is open at both ends. The speed of sound in air is $340\,ms^{-1}.$ The frequency at which both the pipes can resonate is

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