Interference of Waves
PHXII10:WAVE OPTICS

367772 White light reflected from a soap film (Refractive index \( = {\rm{ }}1.5)\) has a maximum at \(600\,nm\) and a minimum at \(450\,nm\) with no minimum in between. Then the thickness of the film is \(x \times {10^7}m\). The value x is

1 1
2 2
3 3
4 4
PHXII10:WAVE OPTICS

367773 The light of wavelength 5890 \( \mathop A^{~~\circ} \) falls normally on a thin air film. The minimum thickness of the film such that the film appears dark in reflected light is:

1 \(2.945 \times {10^{ - 7}}\;m\)
2 \(3.945 \times {10^{ - 7}}\;m\)
3 \(4.95 \times {10^{ - 7}}\;m\)
4 \(1.945 \times {10^{ - 7}}\;m\)
PHXII10:WAVE OPTICS

367774 The path difference between two waves \(y_{1}=A_{1} \sin \omega t \quad\) and \(\quad y_{2}=A_{2} \cos (\omega t+\phi)\) when they arrive at a given point will be

1 \((\lambda / 2 \pi) \phi\)
2 \((\lambda / 2 \pi)(\phi+\pi / 2)\)
3 \((2 \pi / \lambda)(\phi-\pi / 2)\)
4 \((2 \pi / \lambda) \phi\)
PHXII10:WAVE OPTICS

367775 Two light rays initially in same phase travel through two media of equal length \(L\) having refractive index \({\mu _1}\) and \({\mu _2}\) \(\left( {{\mu _1} > {\mu _2}} \right)\) as shown in the figure. If the wavelength of light ray in air is \(\lambda \), the phase difference of the emerging rays is given by
supporting img

1 Zero
2 \(\frac{{2\pi \left( {{\mu _2} - {\mu _1}} \right)L}}{\lambda }\)
3 \(\frac{{\left( {{\mu _2} - {\mu _1}} \right)L}}{{2\pi \lambda }}\)
4 \(\frac{{L{\mu _1}}}{{\lambda {\mu _2}}}\)
PHXII10:WAVE OPTICS

367772 White light reflected from a soap film (Refractive index \( = {\rm{ }}1.5)\) has a maximum at \(600\,nm\) and a minimum at \(450\,nm\) with no minimum in between. Then the thickness of the film is \(x \times {10^7}m\). The value x is

1 1
2 2
3 3
4 4
PHXII10:WAVE OPTICS

367773 The light of wavelength 5890 \( \mathop A^{~~\circ} \) falls normally on a thin air film. The minimum thickness of the film such that the film appears dark in reflected light is:

1 \(2.945 \times {10^{ - 7}}\;m\)
2 \(3.945 \times {10^{ - 7}}\;m\)
3 \(4.95 \times {10^{ - 7}}\;m\)
4 \(1.945 \times {10^{ - 7}}\;m\)
PHXII10:WAVE OPTICS

367774 The path difference between two waves \(y_{1}=A_{1} \sin \omega t \quad\) and \(\quad y_{2}=A_{2} \cos (\omega t+\phi)\) when they arrive at a given point will be

1 \((\lambda / 2 \pi) \phi\)
2 \((\lambda / 2 \pi)(\phi+\pi / 2)\)
3 \((2 \pi / \lambda)(\phi-\pi / 2)\)
4 \((2 \pi / \lambda) \phi\)
PHXII10:WAVE OPTICS

367775 Two light rays initially in same phase travel through two media of equal length \(L\) having refractive index \({\mu _1}\) and \({\mu _2}\) \(\left( {{\mu _1} > {\mu _2}} \right)\) as shown in the figure. If the wavelength of light ray in air is \(\lambda \), the phase difference of the emerging rays is given by
supporting img

1 Zero
2 \(\frac{{2\pi \left( {{\mu _2} - {\mu _1}} \right)L}}{\lambda }\)
3 \(\frac{{\left( {{\mu _2} - {\mu _1}} \right)L}}{{2\pi \lambda }}\)
4 \(\frac{{L{\mu _1}}}{{\lambda {\mu _2}}}\)
PHXII10:WAVE OPTICS

367772 White light reflected from a soap film (Refractive index \( = {\rm{ }}1.5)\) has a maximum at \(600\,nm\) and a minimum at \(450\,nm\) with no minimum in between. Then the thickness of the film is \(x \times {10^7}m\). The value x is

1 1
2 2
3 3
4 4
PHXII10:WAVE OPTICS

367773 The light of wavelength 5890 \( \mathop A^{~~\circ} \) falls normally on a thin air film. The minimum thickness of the film such that the film appears dark in reflected light is:

1 \(2.945 \times {10^{ - 7}}\;m\)
2 \(3.945 \times {10^{ - 7}}\;m\)
3 \(4.95 \times {10^{ - 7}}\;m\)
4 \(1.945 \times {10^{ - 7}}\;m\)
PHXII10:WAVE OPTICS

367774 The path difference between two waves \(y_{1}=A_{1} \sin \omega t \quad\) and \(\quad y_{2}=A_{2} \cos (\omega t+\phi)\) when they arrive at a given point will be

1 \((\lambda / 2 \pi) \phi\)
2 \((\lambda / 2 \pi)(\phi+\pi / 2)\)
3 \((2 \pi / \lambda)(\phi-\pi / 2)\)
4 \((2 \pi / \lambda) \phi\)
PHXII10:WAVE OPTICS

367775 Two light rays initially in same phase travel through two media of equal length \(L\) having refractive index \({\mu _1}\) and \({\mu _2}\) \(\left( {{\mu _1} > {\mu _2}} \right)\) as shown in the figure. If the wavelength of light ray in air is \(\lambda \), the phase difference of the emerging rays is given by
supporting img

1 Zero
2 \(\frac{{2\pi \left( {{\mu _2} - {\mu _1}} \right)L}}{\lambda }\)
3 \(\frac{{\left( {{\mu _2} - {\mu _1}} \right)L}}{{2\pi \lambda }}\)
4 \(\frac{{L{\mu _1}}}{{\lambda {\mu _2}}}\)
PHXII10:WAVE OPTICS

367772 White light reflected from a soap film (Refractive index \( = {\rm{ }}1.5)\) has a maximum at \(600\,nm\) and a minimum at \(450\,nm\) with no minimum in between. Then the thickness of the film is \(x \times {10^7}m\). The value x is

1 1
2 2
3 3
4 4
PHXII10:WAVE OPTICS

367773 The light of wavelength 5890 \( \mathop A^{~~\circ} \) falls normally on a thin air film. The minimum thickness of the film such that the film appears dark in reflected light is:

1 \(2.945 \times {10^{ - 7}}\;m\)
2 \(3.945 \times {10^{ - 7}}\;m\)
3 \(4.95 \times {10^{ - 7}}\;m\)
4 \(1.945 \times {10^{ - 7}}\;m\)
PHXII10:WAVE OPTICS

367774 The path difference between two waves \(y_{1}=A_{1} \sin \omega t \quad\) and \(\quad y_{2}=A_{2} \cos (\omega t+\phi)\) when they arrive at a given point will be

1 \((\lambda / 2 \pi) \phi\)
2 \((\lambda / 2 \pi)(\phi+\pi / 2)\)
3 \((2 \pi / \lambda)(\phi-\pi / 2)\)
4 \((2 \pi / \lambda) \phi\)
PHXII10:WAVE OPTICS

367775 Two light rays initially in same phase travel through two media of equal length \(L\) having refractive index \({\mu _1}\) and \({\mu _2}\) \(\left( {{\mu _1} > {\mu _2}} \right)\) as shown in the figure. If the wavelength of light ray in air is \(\lambda \), the phase difference of the emerging rays is given by
supporting img

1 Zero
2 \(\frac{{2\pi \left( {{\mu _2} - {\mu _1}} \right)L}}{\lambda }\)
3 \(\frac{{\left( {{\mu _2} - {\mu _1}} \right)L}}{{2\pi \lambda }}\)
4 \(\frac{{L{\mu _1}}}{{\lambda {\mu _2}}}\)