JEE Main 2025 Physics question

PhysicsWavesJEE Main 2025

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest P is at x = 0 at t = 0 sec and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave?

Answer: (2)

Solution

K = 2π/7.5 = 0.83 cm⁻¹, v = 1.2/0.3 = ω/K, ω = 3.35; since crest at x=0,t=0, y = 2cos(0.83x-3.35t).

Question ID VK-002459