A 160 cm long string has two adjacent resonances at frequencies of 85 Hz and 102 Hz. What is the fundamental frequency of the spring?

The mass of the string is negligible, using harmonic frequency is the best way to solve it
The mass of the string is negligible, using harmonic frequency is the best way to solve it
The lowest frequency produced by any particular instrument is known as the fundamental frequency. The fundamental frequency is also called the first harmonic of the instrument
The frequency of the nth harmonic (where n represents the harmonic # of any of the harmonics) is n times the frequency of the first harmonic.
In equation form
f_n = n f_1
Adjacent resonances 85 Hz and 102 Hz
f_n=85Hz
write the integral multiple of the numbers 85 and 102
85 = 17 * 5 ( f_n = n f_1 here n = 5, f_1 = 17 )
102 = 17 * 6 ( f_n = n f_1 here n = 6, f_1 = 17 )
Hence,
The fundamental frequency f_1 = 17