Q. A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2π m and frequency of 1/π Hz is represented by
A) y = sin (x – 2t)
B) y = sin (2πx – 2πt)
C) y = sin (10πx – 20πt)
D) y = sin (2πx + 2πt)
Explanation
[Solution from source] k = 2π/λ = 2π/2π = 1 m⁻¹ and ω = 2πf = 2π × (1/π) = 2 rad s⁻¹, amplitude 1 m. A wave along +x is y = A sin(kx − ωt) = sin(x − 2t). A plus sign between the terms would describe a wave moving along −x. Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.