An air column in a pipe, which is closed at one end, will be in resonance wtih a vibrating tuning fork of frequency 264 ~Hz if the length of the column in cm is (velocity of sound =330 ~m / s )

Step-by-step solution

Given : Frequency of tuning fork, n=264 ~Hz Length of column L= ? For closed organ pipe aligned & n= v 4 l & l= v 4 n = 330 4 264 =0.3125 & or, l=0.3125 100=31.25 ~cm aligned In case of closed organ pipe only odd harmonics are possible. Therefore value of l will be (2 n-1) l Hence option (b) i.e. 3 31.25=93.75 ~cm is correct.