Question

a transverse sinusoidal wave of amplitude a, wavelength λ and frequency is travelling on a stretched strength. the maximum speed of any point on the string is ν/10, where ν is the speed of propagation of the wave . if a = 10^-3

Answer 1

Answer:

Explanation:

Maximum speed of any point on the string =aω=a(2πf)

∴ =v10=1010=1 (Given, v=10m/s)

∴ 2πaf=1⇒ ∴f=12πa

a=10−3m(Given)

∴ f=12π×10−3=

Speed of wave v=fλ

∴ (10 m/s)=(1032πs−1)λ⇒ ∴λ=2π×10−2m