Two oscillations are described by and

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Two oscillations are described by

y_1 = 3\sin(100\pi t)

and

y_2 = 3\sin(100\pi t + \dfrac{\pi}{2})

, where

t

is in seconds. The time by which the second oscillation lags behind the first is (a)

\dfrac{1}{400}\,\text{s}

(b)

\dfrac{\pi}{200}\,\text{s}

(c)

\dfrac{1}{200}\,\text{s}

(d)

\dfrac{1}{100}\,\text{s}