Sound WavesHard
Question
A transverse sinusoidal wave of amplitude a, wavelength λ and frequency f is travelling on a stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If a = 10-3 and v = 10 m/s, then λ and are given by
Options
A.λ = 2π × 10-2 m
B.λ = 10-3 m
C.f = 
Hz
HzD.f = 104
Solution
Maximum speed of any point on the string is = aω
= a(2πf)
∴ =
(Given : v = 10 m/s)
∴ a2πf = 1
∴ f =
a = 10-3 m
∴ f =
Hz
Speed of wave v = fλ
∴ (10m/s) =
λ
∴ λ = 2π × 10-2 m
= a(2πf)
∴ =
(Given : v = 10 m/s)∴ a2πf = 1
∴ f =
a = 10-3 m
∴ f =
Hz Speed of wave v = fλ
∴ (10m/s) =
λ∴ λ = 2π × 10-2 m
Create a free account to view solution
View Solution FreeMore Sound Waves Questions
Two notes A and B. sounded together, produce 2 beats per sec. Notes B and C sounded together produce 3 beats per sec. Th...For displacement(s)-x graph shown for a sound wave, select appropriate excess pressure(p)-x graph....A boat at anchor is rocked by waves whose crests are 100m apart and velocity is 25m/s. The boat bounces up once in every...Two wires are fixed in a sonometer. Their tensions are in the ratio 8:1. The lengths are in the ratio 36:35. the diamete...A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridge wh...