## WAVE OPTICS QUIZ 1

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. What happens to the interference pattern if the two slits in Young’s experiment are illuminated by two independent sources such as two sodium lamps S1 and S2 as shown in figure
•  Two sets of interference fringes overlap
•  No fringes are observed
•  The intensity of the bright fringes is doubled
•  The intensity of the bright fringes becomes four times
Solution
(b)
No fringes are observed as two independent sources are not coherent

Q2. A thin uniform film of refractive index 1.75 is placed on a sheet of glass of refractive index 1.5. At room temperature (20℃), this film is just thick enough for light with wavelength 600 nm reflected off the top of the film to be canceled by light reflected from the top of the glass. After the glass is placed in an oven and slowly heated to 170℃ , the film concels reflected light with wavelength 606 nm. The coefficient of linear expansion of the film is (Ignore any changes in the refractive index of the film due to the temperature change)
•  3.3x10-5-1
•  6.6x10-5-1
•  9.9x10-5-1
•  2.2x10-5-1
Solution

Q3. A certain region of a soap bubble reflects red light of vacuum wavelength Î»=650nm. What is the minimum thickness that this region of the soap bubble could have? Take the index of reflection of the soap film to be 1.41
•   1.2x10-7m
•  650x10-9m
•  120x107m
•  650x105m

Q4. In a Young’s double-slit experiment, the slit separation is 0.5 mm and the screen is 0.5 m away from the slit. For a monochromatic light of wavelength 500 nm, the distance of 3rd maxima from the 2nd minima on the other side of central maxima is
•  2.75 mm
•  2.5 mm
•  22.5 mm
•  2.25 mm
Solution
Q5. In Young’s double-slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by
•  12
•  18
•  24
•  30
Solution
Q6. Two thin parallel slits that are 0.012 mm apart are illuminated by a laser beam of wavelength 650 nm. On a very large distance screen, the total number of bright fringes including the central fringe and those on both sides of it is
•  38
•  37
•  40
•  39
Solution
Q7. In a double-slit experiment, the slits are separated by a distance d and the screen is at a distance D from the slits. If a maximum is formed just opposite to each slit, then what is the order of the fringe so formed?
•
d2 / 2Î»D
•
2d2 / Î»D
•
d2 / Î»D
•
d2 / 4Î»D
Solution
Q8. Two wavelengths of light Î»1 and Î»2 are sent through a Young’s double-slit apparatus simultaneously. If the third-order bright fringe coincides with the fourth-order bright fringe, then
•
Î»1 / Î»2
=
4 / 3
•
Î»1 / Î»2
=
3 / 4
•
Î»1 / Î»2
=
5 / 4
•
Î»1 / Î»2
=
4 / 5
Solution
Q9. In Young’s double-slit experiment, how many maximas can be obtained on a screen (including the central maximum) on both sides of the central fringe (Î»=2000Ã…)?
•  12
•  7
•  18
•  4
Solution
Q10. The maximum intensity in Young’s double-slit experiment is I0. Distance between the slits is d=5Î», where Î» is the wavelength of monochromatic light used in the experiment. What will be the intensity of light in front of one of the slits on a screen at a distance D=d?
•
I0 / 2
•
3 / 4
I0
•   I0
•
I0 / 4
Solution

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