A wire of length 80 cm under some tension produces a sound of frequency 256 Hz. What length of wire will produce the sound of frequency 1024 Hz under the same tension?
Let initial frequency,f1=256 Hz
Final frequency, f2=1024 Hz
Initial length of the wire, l1=80 cm
Final length of the wire, l2=?
The frequency of sound produced by a stretched wire under same tension
or, fl = constant
or, l2=f1×l1f2=256×801024=20 cm