A wave on a string has amplitude

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

A wave on a string has amplitude 3 cm3\,\text{cm}, wavelength 40 cm40\,\text{cm} and frequency 25 Hz25\,\text{Hz}. It travels along the +x+x-axis, and the displacement at the origin is zero at t=0t=0. Which one of the following equations (in SI units) describes the wave? (a) y=0.03 sin⁡(5πx+50πt)y = 0.03\,\sin(5\pi x + 50\pi t) (b) y=0.03 sin⁡(10πx−50πt)y = 0.03\,\sin(10\pi x - 50\pi t) (c) y=0.03 sin⁡(5πx−50πt)y = 0.03\,\sin(5\pi x - 50\pi t) (d) y=0.03 sin⁡(5πx−25πt)y = 0.03\,\sin(5\pi x - 25\pi t)

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