JEE Main 2012 — Waves and Sound Question with Solution

A uniform tube of length $60.5\mathrm{cm}$ is held vertically with its lower end dipped in water. A sound source of frequency $500\mathrm{Hz}$ sends sound waves into the tube. When the length of tube above water is $16\mathrm{cm}$ and again when it is $50\mathrm{cm}$, the tube resonates with the source of sound. Two lowest frequencies (in $\mathrm{Hz}$ ), to which tube will resonate when it is taken out of water, are (approximately).