A particular guitar wire is 300 cm long and vibrates at a frequency of 196 Hz when no finger is placed on it. The next higher notes on the scale are 220 Hz, 247 Hz, 262 Hz and 294 Hz. How far from the end of the string must the finger be placed to play these notes?

267 cm, 238 cm, 224 cm and 200 cm

It is known to us that,



So,


Putting the values of f, f’, L we get,


L’=0.267 cm=26.7 cm


Doing the same with case 3,



Putting f’’=247 Hz


L’’=23.8 cm.


In the same way,


L’’’=22.4 cm, L’’’’=20 cm


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