Interference of Waves
PHXII10:WAVE OPTICS

367794 Three waves of equal frequency having amplitudes \(10\mu m,4\mu m,7\mu m\) arrive at a given point with successive phase difference of \(\frac{\pi }{2}\), the amplitude of the resulting wave \(\left( {in\,\,\mu m} \right)\) s given by

1 5
2 4
3 7
4 6
PHXII10:WAVE OPTICS

367795 Two identical light waves, propagating in the same direction, have a phase difference \(\delta \). After they superimpose, the intensity of the resulting wave will be proportional to

1 \({\cos ^2}\left( {\delta /2} \right)\)
2 \(\cos \delta \)
3 \(\cos \left( {\delta /2} \right)\)
4 \({\cos ^2}\delta \)
PHXII10:WAVE OPTICS

367796 Two coherent light sources \({A}\) and \({B}\) are at a distance \(3 \lambda\) from each other \((\lambda=\) wavelength \()\). The distance from \({A}\) on the \(+{X}\)-axis at which the first constructive interference is found to be \({N} \lambda\). What is the value of \({N}\) ?
supporting img

1 \(2\,\lambda \)
2 \(4\,\lambda \)
3 \(7\,\lambda \)
4 \(1\,\lambda \)
PHXII10:WAVE OPTICS

367797 The coherent waves each of intensity \(I_{0}\) produce interference pattern. The resultant intensity at the point of observation will be: (given \(\phi\) is the phase difference at the instant of arriving at that point)

1 \(I=2 I_{0}[1+\cos \phi]\)
2 \(I=I_{0}[1+\cos \phi]\)
3 \(I=\dfrac{[1+\cos \phi]}{I_{0}}\)
4 \(I=\dfrac{[1+\cos \phi]}{2 I_{0}}\)
PHXII10:WAVE OPTICS

367798 Two beams of light having intensities \(I\) and \(4I\) interfere to produce a fringe pattern on a screen.
The phase difference between the beams is \(\frac{\pi }{2}\) at point \(A\) and \(\pi \) at point \(B\). Then the difference between the resulting intensities at \(A\) and \(B\) is

1 \(2I\)
2 \(4I\)
3 \(5I\)
4 \(7I\)
PHXII10:WAVE OPTICS

367794 Three waves of equal frequency having amplitudes \(10\mu m,4\mu m,7\mu m\) arrive at a given point with successive phase difference of \(\frac{\pi }{2}\), the amplitude of the resulting wave \(\left( {in\,\,\mu m} \right)\) s given by

1 5
2 4
3 7
4 6
PHXII10:WAVE OPTICS

367795 Two identical light waves, propagating in the same direction, have a phase difference \(\delta \). After they superimpose, the intensity of the resulting wave will be proportional to

1 \({\cos ^2}\left( {\delta /2} \right)\)
2 \(\cos \delta \)
3 \(\cos \left( {\delta /2} \right)\)
4 \({\cos ^2}\delta \)
PHXII10:WAVE OPTICS

367796 Two coherent light sources \({A}\) and \({B}\) are at a distance \(3 \lambda\) from each other \((\lambda=\) wavelength \()\). The distance from \({A}\) on the \(+{X}\)-axis at which the first constructive interference is found to be \({N} \lambda\). What is the value of \({N}\) ?
supporting img

1 \(2\,\lambda \)
2 \(4\,\lambda \)
3 \(7\,\lambda \)
4 \(1\,\lambda \)
PHXII10:WAVE OPTICS

367797 The coherent waves each of intensity \(I_{0}\) produce interference pattern. The resultant intensity at the point of observation will be: (given \(\phi\) is the phase difference at the instant of arriving at that point)

1 \(I=2 I_{0}[1+\cos \phi]\)
2 \(I=I_{0}[1+\cos \phi]\)
3 \(I=\dfrac{[1+\cos \phi]}{I_{0}}\)
4 \(I=\dfrac{[1+\cos \phi]}{2 I_{0}}\)
PHXII10:WAVE OPTICS

367798 Two beams of light having intensities \(I\) and \(4I\) interfere to produce a fringe pattern on a screen.
The phase difference between the beams is \(\frac{\pi }{2}\) at point \(A\) and \(\pi \) at point \(B\). Then the difference between the resulting intensities at \(A\) and \(B\) is

1 \(2I\)
2 \(4I\)
3 \(5I\)
4 \(7I\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII10:WAVE OPTICS

367794 Three waves of equal frequency having amplitudes \(10\mu m,4\mu m,7\mu m\) arrive at a given point with successive phase difference of \(\frac{\pi }{2}\), the amplitude of the resulting wave \(\left( {in\,\,\mu m} \right)\) s given by

1 5
2 4
3 7
4 6
PHXII10:WAVE OPTICS

367795 Two identical light waves, propagating in the same direction, have a phase difference \(\delta \). After they superimpose, the intensity of the resulting wave will be proportional to

1 \({\cos ^2}\left( {\delta /2} \right)\)
2 \(\cos \delta \)
3 \(\cos \left( {\delta /2} \right)\)
4 \({\cos ^2}\delta \)
PHXII10:WAVE OPTICS

367796 Two coherent light sources \({A}\) and \({B}\) are at a distance \(3 \lambda\) from each other \((\lambda=\) wavelength \()\). The distance from \({A}\) on the \(+{X}\)-axis at which the first constructive interference is found to be \({N} \lambda\). What is the value of \({N}\) ?
supporting img

1 \(2\,\lambda \)
2 \(4\,\lambda \)
3 \(7\,\lambda \)
4 \(1\,\lambda \)
PHXII10:WAVE OPTICS

367797 The coherent waves each of intensity \(I_{0}\) produce interference pattern. The resultant intensity at the point of observation will be: (given \(\phi\) is the phase difference at the instant of arriving at that point)

1 \(I=2 I_{0}[1+\cos \phi]\)
2 \(I=I_{0}[1+\cos \phi]\)
3 \(I=\dfrac{[1+\cos \phi]}{I_{0}}\)
4 \(I=\dfrac{[1+\cos \phi]}{2 I_{0}}\)
PHXII10:WAVE OPTICS

367798 Two beams of light having intensities \(I\) and \(4I\) interfere to produce a fringe pattern on a screen.
The phase difference between the beams is \(\frac{\pi }{2}\) at point \(A\) and \(\pi \) at point \(B\). Then the difference between the resulting intensities at \(A\) and \(B\) is

1 \(2I\)
2 \(4I\)
3 \(5I\)
4 \(7I\)
PHXII10:WAVE OPTICS

367794 Three waves of equal frequency having amplitudes \(10\mu m,4\mu m,7\mu m\) arrive at a given point with successive phase difference of \(\frac{\pi }{2}\), the amplitude of the resulting wave \(\left( {in\,\,\mu m} \right)\) s given by

1 5
2 4
3 7
4 6
PHXII10:WAVE OPTICS

367795 Two identical light waves, propagating in the same direction, have a phase difference \(\delta \). After they superimpose, the intensity of the resulting wave will be proportional to

1 \({\cos ^2}\left( {\delta /2} \right)\)
2 \(\cos \delta \)
3 \(\cos \left( {\delta /2} \right)\)
4 \({\cos ^2}\delta \)
PHXII10:WAVE OPTICS

367796 Two coherent light sources \({A}\) and \({B}\) are at a distance \(3 \lambda\) from each other \((\lambda=\) wavelength \()\). The distance from \({A}\) on the \(+{X}\)-axis at which the first constructive interference is found to be \({N} \lambda\). What is the value of \({N}\) ?
supporting img

1 \(2\,\lambda \)
2 \(4\,\lambda \)
3 \(7\,\lambda \)
4 \(1\,\lambda \)
PHXII10:WAVE OPTICS

367797 The coherent waves each of intensity \(I_{0}\) produce interference pattern. The resultant intensity at the point of observation will be: (given \(\phi\) is the phase difference at the instant of arriving at that point)

1 \(I=2 I_{0}[1+\cos \phi]\)
2 \(I=I_{0}[1+\cos \phi]\)
3 \(I=\dfrac{[1+\cos \phi]}{I_{0}}\)
4 \(I=\dfrac{[1+\cos \phi]}{2 I_{0}}\)
PHXII10:WAVE OPTICS

367798 Two beams of light having intensities \(I\) and \(4I\) interfere to produce a fringe pattern on a screen.
The phase difference between the beams is \(\frac{\pi }{2}\) at point \(A\) and \(\pi \) at point \(B\). Then the difference between the resulting intensities at \(A\) and \(B\) is

1 \(2I\)
2 \(4I\)
3 \(5I\)
4 \(7I\)
PHXII10:WAVE OPTICS

367794 Three waves of equal frequency having amplitudes \(10\mu m,4\mu m,7\mu m\) arrive at a given point with successive phase difference of \(\frac{\pi }{2}\), the amplitude of the resulting wave \(\left( {in\,\,\mu m} \right)\) s given by

1 5
2 4
3 7
4 6
PHXII10:WAVE OPTICS

367795 Two identical light waves, propagating in the same direction, have a phase difference \(\delta \). After they superimpose, the intensity of the resulting wave will be proportional to

1 \({\cos ^2}\left( {\delta /2} \right)\)
2 \(\cos \delta \)
3 \(\cos \left( {\delta /2} \right)\)
4 \({\cos ^2}\delta \)
PHXII10:WAVE OPTICS

367796 Two coherent light sources \({A}\) and \({B}\) are at a distance \(3 \lambda\) from each other \((\lambda=\) wavelength \()\). The distance from \({A}\) on the \(+{X}\)-axis at which the first constructive interference is found to be \({N} \lambda\). What is the value of \({N}\) ?
supporting img

1 \(2\,\lambda \)
2 \(4\,\lambda \)
3 \(7\,\lambda \)
4 \(1\,\lambda \)
PHXII10:WAVE OPTICS

367797 The coherent waves each of intensity \(I_{0}\) produce interference pattern. The resultant intensity at the point of observation will be: (given \(\phi\) is the phase difference at the instant of arriving at that point)

1 \(I=2 I_{0}[1+\cos \phi]\)
2 \(I=I_{0}[1+\cos \phi]\)
3 \(I=\dfrac{[1+\cos \phi]}{I_{0}}\)
4 \(I=\dfrac{[1+\cos \phi]}{2 I_{0}}\)
PHXII10:WAVE OPTICS

367798 Two beams of light having intensities \(I\) and \(4I\) interfere to produce a fringe pattern on a screen.
The phase difference between the beams is \(\frac{\pi }{2}\) at point \(A\) and \(\pi \) at point \(B\). Then the difference between the resulting intensities at \(A\) and \(B\) is

1 \(2I\)
2 \(4I\)
3 \(5I\)
4 \(7I\)