Interference due to thin film
WAVE OPTICS

283470 On introducing a thin film in the path of one of the two interfering beam, the central fringe will shift by one fringe width. If \(\mu=1.5\), the thickness of the film is (wavelength of monochromatic light is \(\lambda\) )

1 \(4 \lambda\)
2 \(3 \lambda\)
3 \(2 \lambda\)
4 \(\lambda\)
WAVE OPTICS

283474 Two straight and narrow slits \(0.3 \mathrm{~mm}\) apart are illuminated by a monochromatic source of wavelength \(5.9 \times 10^{-7} \mathrm{~m}\). Fringes are obtained at a distance of \(0.30 \mathrm{~m}\) from the slit. The width of the fringe is

1 \(5.9 \times 10^{-4} \mathrm{~m}\)
2 \(5.9 \times 10^{-3} \mathrm{~m}\)
3 \(2.95 \times 10^{-6} \mathrm{~m}\)
4 \(2.95 \times 10^{-5} \mathrm{~m}\)
WAVE OPTICS

283466 Assertion: Thin films such a soap bubble or a thin layer of oil on water show beautiful colours when illuminated by white light.
Reason: It happens due to the interference of light reflected from the upper surface of the thin film.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
WAVE OPTICS

283475 Two coherent point sources \(S_1\) and \(S_2\) vibrating in phase emit light of wavelength \(\lambda\). The separation between them is \(2 \lambda\) as shown in figure. The first bright fringe is formed at \(P\) due to interference on a screen placed at a distance \(D\) from \(S_1(D>>)\), then OP is
original image

1 \(\sqrt{2} \mathrm{D}\)
2 \(1.5 \mathrm{D}\)
3 \(\sqrt{3} \mathrm{D}\)
4 \(2 \mathrm{D}\)
WAVE OPTICS

283470 On introducing a thin film in the path of one of the two interfering beam, the central fringe will shift by one fringe width. If \(\mu=1.5\), the thickness of the film is (wavelength of monochromatic light is \(\lambda\) )

1 \(4 \lambda\)
2 \(3 \lambda\)
3 \(2 \lambda\)
4 \(\lambda\)
WAVE OPTICS

283474 Two straight and narrow slits \(0.3 \mathrm{~mm}\) apart are illuminated by a monochromatic source of wavelength \(5.9 \times 10^{-7} \mathrm{~m}\). Fringes are obtained at a distance of \(0.30 \mathrm{~m}\) from the slit. The width of the fringe is

1 \(5.9 \times 10^{-4} \mathrm{~m}\)
2 \(5.9 \times 10^{-3} \mathrm{~m}\)
3 \(2.95 \times 10^{-6} \mathrm{~m}\)
4 \(2.95 \times 10^{-5} \mathrm{~m}\)
WAVE OPTICS

283466 Assertion: Thin films such a soap bubble or a thin layer of oil on water show beautiful colours when illuminated by white light.
Reason: It happens due to the interference of light reflected from the upper surface of the thin film.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
WAVE OPTICS

283475 Two coherent point sources \(S_1\) and \(S_2\) vibrating in phase emit light of wavelength \(\lambda\). The separation between them is \(2 \lambda\) as shown in figure. The first bright fringe is formed at \(P\) due to interference on a screen placed at a distance \(D\) from \(S_1(D>>)\), then OP is
original image

1 \(\sqrt{2} \mathrm{D}\)
2 \(1.5 \mathrm{D}\)
3 \(\sqrt{3} \mathrm{D}\)
4 \(2 \mathrm{D}\)
WAVE OPTICS

283470 On introducing a thin film in the path of one of the two interfering beam, the central fringe will shift by one fringe width. If \(\mu=1.5\), the thickness of the film is (wavelength of monochromatic light is \(\lambda\) )

1 \(4 \lambda\)
2 \(3 \lambda\)
3 \(2 \lambda\)
4 \(\lambda\)
WAVE OPTICS

283474 Two straight and narrow slits \(0.3 \mathrm{~mm}\) apart are illuminated by a monochromatic source of wavelength \(5.9 \times 10^{-7} \mathrm{~m}\). Fringes are obtained at a distance of \(0.30 \mathrm{~m}\) from the slit. The width of the fringe is

1 \(5.9 \times 10^{-4} \mathrm{~m}\)
2 \(5.9 \times 10^{-3} \mathrm{~m}\)
3 \(2.95 \times 10^{-6} \mathrm{~m}\)
4 \(2.95 \times 10^{-5} \mathrm{~m}\)
WAVE OPTICS

283466 Assertion: Thin films such a soap bubble or a thin layer of oil on water show beautiful colours when illuminated by white light.
Reason: It happens due to the interference of light reflected from the upper surface of the thin film.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
WAVE OPTICS

283475 Two coherent point sources \(S_1\) and \(S_2\) vibrating in phase emit light of wavelength \(\lambda\). The separation between them is \(2 \lambda\) as shown in figure. The first bright fringe is formed at \(P\) due to interference on a screen placed at a distance \(D\) from \(S_1(D>>)\), then OP is
original image

1 \(\sqrt{2} \mathrm{D}\)
2 \(1.5 \mathrm{D}\)
3 \(\sqrt{3} \mathrm{D}\)
4 \(2 \mathrm{D}\)
WAVE OPTICS

283470 On introducing a thin film in the path of one of the two interfering beam, the central fringe will shift by one fringe width. If \(\mu=1.5\), the thickness of the film is (wavelength of monochromatic light is \(\lambda\) )

1 \(4 \lambda\)
2 \(3 \lambda\)
3 \(2 \lambda\)
4 \(\lambda\)
WAVE OPTICS

283474 Two straight and narrow slits \(0.3 \mathrm{~mm}\) apart are illuminated by a monochromatic source of wavelength \(5.9 \times 10^{-7} \mathrm{~m}\). Fringes are obtained at a distance of \(0.30 \mathrm{~m}\) from the slit. The width of the fringe is

1 \(5.9 \times 10^{-4} \mathrm{~m}\)
2 \(5.9 \times 10^{-3} \mathrm{~m}\)
3 \(2.95 \times 10^{-6} \mathrm{~m}\)
4 \(2.95 \times 10^{-5} \mathrm{~m}\)
WAVE OPTICS

283466 Assertion: Thin films such a soap bubble or a thin layer of oil on water show beautiful colours when illuminated by white light.
Reason: It happens due to the interference of light reflected from the upper surface of the thin film.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
WAVE OPTICS

283475 Two coherent point sources \(S_1\) and \(S_2\) vibrating in phase emit light of wavelength \(\lambda\). The separation between them is \(2 \lambda\) as shown in figure. The first bright fringe is formed at \(P\) due to interference on a screen placed at a distance \(D\) from \(S_1(D>>)\), then OP is
original image

1 \(\sqrt{2} \mathrm{D}\)
2 \(1.5 \mathrm{D}\)
3 \(\sqrt{3} \mathrm{D}\)
4 \(2 \mathrm{D}\)