The string of a guitar is 80 cm long and has a fundamental frequency o

1.	The string of a guitar is 80 cm long and has a fundamental frequency of 112 Hz. If a guitarist wishes to produce a frequency of 160 Hz, where should the person press the string ?
Answer» Data : L₁ = 80 cm n₁ = 112 Hz, n₂ = 160 Hz According to the law of length, n₁L₁ = n₂L₂ . ∴ The vibrating length to produce the fundamental frequency of 160 Hz, L₂= \(\frac{n_1L_1}{n_2}\) = \(\frac{112(80)}{160}\) = 56 cm

The string of a guitar is 80 cm long and has a fundamental frequency of 112 Hz. If a guitarist wishes to produce a frequency of 160 Hz, where should the person press the string ?

Answer»

Data : L₁ = 80 cm n₁ = 112 Hz, n₂ = 160 Hz According to the law of length, n₁L₁ = n₂L₂ .

∴ The vibrating length to produce the fundamental frequency of 160 Hz,

L₂= \(\frac{n_1L_1}{n_2}\) = \(\frac{112(80)}{160}\) = 56 cm