Two identical oscillators and execute simple harmonic motion along the same straight…

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

Problem

Two identical oscillators

P

and

Q

execute simple harmonic motion along the same straight line with equal amplitudes. For

Q

, the displacement is zero and increasing at

t=0\,\text{s}

and again at

t=0.40\,\text{s}

. For

P

, the displacement is zero and increasing at

t=0.10\,\text{s}

and again at

t=0.50\,\text{s}

. Taking

\phi = \text{(phase of }P) - \text{(phase of }Q)

, find the phase difference

\phi

in radians (

0<\phi<2\pi

). (a)

\dfrac{3\pi}{4}

(b)

\dfrac{\pi}{2}

(c)

\dfrac{3\pi}{2}

(d)

\dfrac{\pi}{4}