A string is clamped at both the ends and it is vibrating in its 4 t h harmonic. The equation of the stationary wave is y = 0.3 sin ⁡ 0.157 x c o s ( 200 π t ) . The length of the string is (All quantities are in S I units.)

Question

A string is clamped at both the ends and it is vibrating in its 4 t h harmonic. The equation of the stationary wave is y = 0.3 sin ⁡ 0.157 x c o s ( 200 π t ) . The length of the string is (All quantities are in S I units.), 20 m, 60 m, 40 m, 80 m

MARKS App · Accepted Answer

From the equation, k = 0.157 2 π λ = 0.157 λ = 40 m But, length of the wire in 4 th harmonic, l = 4 × λ 2 = 2 λ = 80 m .

Search any question & find its solution

Looking for more such questions to practice?