A transverse wave on a string moves in the -direction with amplitude

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

Problem

A transverse wave on a string moves in the

+x

-direction with amplitude

0.05\,\text{m}

, frequency

5\,\text{Hz}

and wavelength

0.80\,\text{m}

. At

t=0

, the displacement at

x=0

+0.025\,\text{m}

and is increasing. Which one of the following equations (SI units) satisfies these conditions? (a)

y = 0.05\,\sin\bigl(2.5\pi x - 10\pi t + \dfrac{5\pi}{6}\bigr)

(b)

y = 0.05\,\sin\bigl(2.5\pi x - 10\pi t + \dfrac{\pi}{6}\bigr)

(c)

y = 0.05\,\sin\bigl(2.5\pi x + 10\pi t + \dfrac{5\pi}{6}\bigr)

(d)

y = 0.05\,\sin\bigl(10\pi x - 10\pi t + \dfrac{5\pi}{6}\bigr)