A sonometer wire has vibrating length 1 m, tension 100 N and linear mass density 0.01 kg/m. If its fundamental frequency is N Hz, find N.

Question

G1 Physics · Accepted Answer

Wave speed on the wire is v = √(T/μ) = √(100/0.01) = √10000 = 100 m/s. For the fundamental mode, f = v/(2L) = 100/[2(1)] = 50 Hz. Hence, N = 50.