UPSEE Solved Model Paper 5

A node occurs at x = 0.05 m
Given equation is y = 0.02cos (π/2+50πt) cos (10πx) =
Acos(ωt+π/2)cos kx.
Node occurs when kx = π/2 ⇒ 10πx = π/2 ⇒ x = 0.05 m
Antinode occurs when kx = π ⇒ 10πx = π ⇒ x = 0.1 m
Speed of wave , v = ω/k = 50π/10π = 5 m/s
Wavelength , λ = 2π/k = 2π10π = 0.2 m