## Wave Optics Quiz 4

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts. .

Q1. A thin film of refractive index 1.5 and thickness 4x10-5 cm is illuminated by light normal to the surface. What wavelength within the visible spectrum will be intensified in the reflected beam?
•  4800Ã…
•  5800Ã…
•  6000Ã…
•  6800Ã…
Solution
Q2.Light of wavelength Î»=5890 Ã… falls on a double-slit arrangement having separation d=0.2 mm. A thin lens of focal length f=1 m is placed near the slits. The linear separation of fringes on a screen placed in the focal plane of the lens is
•  3 mm
•  4 mm
•  2 mm
•  1 mm
Solution
Q3.  In hydrogen spectrum the wavelength of HÎ± line is 656 nm whereas in the spectrum of a distant galaxy, HÎ± line wavelength is 706 nm. Estimated speed of the galaxy with respect to earth is
•  2× 108m/s
•  2× 107m/s
•  2× 106m/s
•  2× 105m/s
Solution

Q4. Two coherent light sources, each of wavelength Î», are separated by a distance 3Î». The maximum number of minima formed on line AB, which runs from -∞ to +∞, is
•  2
•  4
•  6
•  8
Solution
Q5.Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase between the beams is Ï€/2 at point A and Ï€ at point B. Then, the difference between the resultant intensities at A and B is
•  2I
•  4I
•  5I
•  7I
Solution
Q6. Figure shows two coherent sources S1 and S2 vibrating in same phase. AB is an irregular wire lying at a far distance from the sources S1 and S2. Let Î»/d=10-3 ∠BOA=0.12°. How many bright spots will be seen on the wire, including points A and B?
•  2
•  3
• 4
•  More than 4
Solution

Q7.In a YDSE, light of wavelength Î»=5000 Ã… is used, which emerges in phase from two slits a distance d=3×10-7m apart. A transparent sheet of thickness t= 1.5×10-7m, refractive index n=1.17, is placed over one of the slits. Where does the central maxima of the interference now appear from the center of the screen? (Find the value of y?)
•
D(Î¼-1)t / 2d
•
2D(Î¼-1)t / d
•
D(Î¼+1)t / d
•
D(Î¼-1)t / d
Solution

Q8.In Young’s double-slit experiment, the slits are 0.5 mm apart and the interference is observed on a screen at a distance of 100 cm from the slits. It is found that the ninth bright fringe is at a distance of 7.5 mm found that the ninth bright fringe is at a distance of 7.5 mm from the second dark fringe from the center of the fringe pattern. The wavelength of the light used is
•  5000 Ã…
•
5000 / 7
Ã…
•  2500 Ã…
•
2500 / 7
Ã…
Solution
Q9.In Young’s double-slit experiment, the separation between two coherent sources S1 and S2 is d and the distance between the source and screen is D. In the interference pattern, it is found that exactly in front of one slit, there occurs a minimum. Then the possible wavelengths used in the experiment are
•   Î»=
d2 / D
,
d2 / 3D
,
d2 / 5D
•   Î»=
d2 / D
,
d2 / 5D
,
d2 / 9D
•   Î»=
d2 / D
,
d2 / 2D
,
d2 / 3D
•   Î»=
d2 / 3D
,
d2 / 7D
,
d2 / 11D
Solution
Q10. Sources 1 and 2 emit lights of different wavelengths whereas 3 and 4 emit lights of different intensities. The coherence
•  Can be obtained by using sources 1 and 2
•  Can be obtained by using sources 3 and 4
•  Cannot be obtained by any of these sources
• Since contrast suffers when sources 3 and 4 are used so coherence cannot be obtained by using sources 3 and 4
Solution

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