Two waves are represented by the equations : y_1 = a, sin,(omega t + kx + 0.57), m and y

Q: Two waves are represented by the equations : $y_1 = a\, sin\,(\omega t + kx + 0.57)\, m$ and $y_2 = a\, cos\,(\omega t + kx)\, m$, where $x$ is in $metres$ and $t$ is in $seconds$ . The phase difference between them is ..... $radian$

a ${{\rm{y}}_1} = {\rm{a}}\sin (\omega {\rm{t}} + {\rm{kx}} + 0.57)$ $\therefore$ Phase, $\phi_{1}=(\omega t+k x+0.57)$ $y_{2}=\operatorname{acos}(\omega t+k x)=a \sin \left(\omega t+k x+\frac{\pi}{2}\right)$ $\therefore$ Phase, $\phi_{2}=\omega t+k x+\frac{\pi}{2}$ Phase difference, $\Delta \phi=\phi_{2}-\phi_{1}$ $=\left(\omega t+k x+\frac{\pi}{2}\right)-(\omega t+k x+0.57)$ $=\frac{\pi}{2}-0.57=1.57-0.57=1 \mathrm{\,radian}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

Two waves are represented by the equations : $y_1 = a\, sin\,(\omega t + kx + 0.57)\, m$ and $y_2 = a\, cos\,(\omega t + kx)\, m$, where $x$ is in $metres$ and $t$ is in $seconds$ . The phase difference between them is ..... $radian$

A$1.0$
B$1.25$
C$1.57$
D$0.57$

AIPMT 2011, Medium

STD 11 Science
NEET
STD 11 - 14. waves and sound
Physics

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