Interference of Waves
PHXII10:WAVE OPTICS

367776 The equation for two waves emitted by two light sources are as given below :
\(y_{1}=A_{1} \sin 3 \omega t, y_{2}=A_{2} \cos (3 \omega t+\pi / 6)\). What will be the value of phase difference at the time \(t\) -

1 \(3 \pi / 2\)
2 \(2 \pi / 3\)
3 \(\pi\)
4 \(\pi / 2\)
PHXII10:WAVE OPTICS

367777 In a wave, the path difference corresponding to a phase difference of \(\phi \) is

1 \(\frac{\lambda }{{2\pi }}\phi {\rm{ }}\)
2 \(\frac{{2\lambda }}{\pi }\phi \)
3 \(\frac{\pi }{\lambda }\phi \)
4 \(\frac{\lambda }{\pi }\phi \)
PHXII10:WAVE OPTICS

367778 The phase difference between incident wave and reflected wave is \(180^\circ \) when light ray

1 Enters into air from water
2 Enters into air from glass
3 Enters into glass from air
4 Enters into glass from diamond
PHXII10:WAVE OPTICS

367779 Two waves are represented by the equations \({y_1} = A\sin \omega t\) and \({y_2} = A\cos \omega t\). The first wave

1 Leads the second by \(\frac{\pi }{2}\)
2 Lags the second by \(\frac{\pi }{2}\)
3 Leads the second by \(\pi \)
4 Lags the second by \(\pi \)
PHXII10:WAVE OPTICS

367776 The equation for two waves emitted by two light sources are as given below :
\(y_{1}=A_{1} \sin 3 \omega t, y_{2}=A_{2} \cos (3 \omega t+\pi / 6)\). What will be the value of phase difference at the time \(t\) -

1 \(3 \pi / 2\)
2 \(2 \pi / 3\)
3 \(\pi\)
4 \(\pi / 2\)
PHXII10:WAVE OPTICS

367777 In a wave, the path difference corresponding to a phase difference of \(\phi \) is

1 \(\frac{\lambda }{{2\pi }}\phi {\rm{ }}\)
2 \(\frac{{2\lambda }}{\pi }\phi \)
3 \(\frac{\pi }{\lambda }\phi \)
4 \(\frac{\lambda }{\pi }\phi \)
PHXII10:WAVE OPTICS

367778 The phase difference between incident wave and reflected wave is \(180^\circ \) when light ray

1 Enters into air from water
2 Enters into air from glass
3 Enters into glass from air
4 Enters into glass from diamond
PHXII10:WAVE OPTICS

367779 Two waves are represented by the equations \({y_1} = A\sin \omega t\) and \({y_2} = A\cos \omega t\). The first wave

1 Leads the second by \(\frac{\pi }{2}\)
2 Lags the second by \(\frac{\pi }{2}\)
3 Leads the second by \(\pi \)
4 Lags the second by \(\pi \)
PHXII10:WAVE OPTICS

367776 The equation for two waves emitted by two light sources are as given below :
\(y_{1}=A_{1} \sin 3 \omega t, y_{2}=A_{2} \cos (3 \omega t+\pi / 6)\). What will be the value of phase difference at the time \(t\) -

1 \(3 \pi / 2\)
2 \(2 \pi / 3\)
3 \(\pi\)
4 \(\pi / 2\)
PHXII10:WAVE OPTICS

367777 In a wave, the path difference corresponding to a phase difference of \(\phi \) is

1 \(\frac{\lambda }{{2\pi }}\phi {\rm{ }}\)
2 \(\frac{{2\lambda }}{\pi }\phi \)
3 \(\frac{\pi }{\lambda }\phi \)
4 \(\frac{\lambda }{\pi }\phi \)
PHXII10:WAVE OPTICS

367778 The phase difference between incident wave and reflected wave is \(180^\circ \) when light ray

1 Enters into air from water
2 Enters into air from glass
3 Enters into glass from air
4 Enters into glass from diamond
PHXII10:WAVE OPTICS

367779 Two waves are represented by the equations \({y_1} = A\sin \omega t\) and \({y_2} = A\cos \omega t\). The first wave

1 Leads the second by \(\frac{\pi }{2}\)
2 Lags the second by \(\frac{\pi }{2}\)
3 Leads the second by \(\pi \)
4 Lags the second by \(\pi \)
PHXII10:WAVE OPTICS

367776 The equation for two waves emitted by two light sources are as given below :
\(y_{1}=A_{1} \sin 3 \omega t, y_{2}=A_{2} \cos (3 \omega t+\pi / 6)\). What will be the value of phase difference at the time \(t\) -

1 \(3 \pi / 2\)
2 \(2 \pi / 3\)
3 \(\pi\)
4 \(\pi / 2\)
PHXII10:WAVE OPTICS

367777 In a wave, the path difference corresponding to a phase difference of \(\phi \) is

1 \(\frac{\lambda }{{2\pi }}\phi {\rm{ }}\)
2 \(\frac{{2\lambda }}{\pi }\phi \)
3 \(\frac{\pi }{\lambda }\phi \)
4 \(\frac{\lambda }{\pi }\phi \)
PHXII10:WAVE OPTICS

367778 The phase difference between incident wave and reflected wave is \(180^\circ \) when light ray

1 Enters into air from water
2 Enters into air from glass
3 Enters into glass from air
4 Enters into glass from diamond
PHXII10:WAVE OPTICS

367779 Two waves are represented by the equations \({y_1} = A\sin \omega t\) and \({y_2} = A\cos \omega t\). The first wave

1 Leads the second by \(\frac{\pi }{2}\)
2 Lags the second by \(\frac{\pi }{2}\)
3 Leads the second by \(\pi \)
4 Lags the second by \(\pi \)