A guitar string is 75cm long. The wavelength of its fundamental note is

Jamb 1978

A guitar string is 75cm long. The wavelength of its fundamental note is A. 75cm B.150cm C. 37.5 cm D. 112.5 cm E. 50 cm. 

ANSWER: Option B

EXPLANATION: 

Firstly, you have to understand the difference between pipes and strings. The difference is that while we consider strings to be fixed at both ends, the pipe is either free at both ends (if it is open at both ends) or is free at one end and fixed at the other (if the tube is closed at one end).

A guitar string is 75cm long. The wavelength of its fundamental note is

So, considering the image above, the fundamental note is the first harmonic. Using the formula, you will arrive at your answer!

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