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RAY OPTICS AND OPTICAL INSTRUMENTS-21 Quiz

Dear Readers,

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.  Statement 1: The setting sun appears to be red
Statement 2: Scattering of light is directly proportional to the wavelength
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
The sun and its surroundings appears red during sunset or sunrise because of scattering of light. The amount of scattered light is inversely proportional to the fourth power of wavelength of light, i.e.,I∝1/λ^4

Q2.Statement 1: The stars twinkle while the planets do not
Statement 2: The stars are much bigger in size than the planets
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
The stars twinkle while the planets do not. It is due to variation in density of atmospheric layer. As the stars are very far and giving light continuously to us. So, the light coming from stars is found to change their intensity continuously. Hence they are seen twinkling. Also stars are much bigger in size than planets but it has nothing to deal with twinkling phenomenon

Q3.  Statement 1: We cannot produce a real image by plane or convex mirrors under any circumstances
Statement 2: The focal length of a convex mirror is always taken as positive
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
We can produce a real image by a plane or convex mirror
Focal length of a convex mirror is taken positive

Q4. At what distance from itself will the fish see the image of the eye by direct observation? Statement 1: H(1/2+μ)
Statement 2: H(1/2-μ)
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
(a) Fish observing eye: (i)Direct observation
H_1=H/2+μH
H_1=H(1/2+μ)
(ii)Fish observing image of eye by mirror. Hence, distance of the eye image from fish,
H_2=μH+H+H/2
H_2=H(3/2+μ) Eye observing fish:
(i)Direct observation
H_1=H+H/2μ=H(1+1/2μ)
(ii)Eye observing image of the fish
H_2^'=H+H/μ+H/2μ=H(1+2/2μ)
H_2^'=H+3/2μ


Q5. Statement 1: In optical fibre, the diameter of the core is kept small
Statement 2: This smaller diameter of the core ensures that the fibre should have incident angle more than the critical angle required for total internal reflection
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
 For smaller diameter incident angle at A(i'') will be greater than critical angle to cause total internal reflection

Q6. Statement 1: Just before setting, the sun may appear to be elliptical. This happens due to refraction
Statement 2: Refraction of light ray through the atmosphere may cause different magnification in mutually perpendicular directions
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
The frequency of the incident, reflected and refracted beam depends on the source of the light because it is the property related to the energy of the light. It does not vary with the change in the medium. The incident, reflected and refracted ray all lie in the same plane and therefore they are coplanar. The assertion and reason both are correct but the reason is not the correct explanation of assertion.

Q7.Statement 1: The frequencies of incident, reflected and refracted beam of monochromatic light incident from one medium to another are same
Statement 2: The incident, reflected and refracted rays are coplanar
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
When the sun is close to setting, refraction will effect the top part of the sun differently from the bottom half. The top half will radiate its image truly, while the bottom portion will send an apparent image. Since the bottom portion of sun is being seen through thicker, more dense atmosphere. The bottom image is being bent intensely and gives the impression of being squashed or “flattened” or elliptical shape

Q8. Statement 1: We cannot produce a real image by plane or convex mirrors under any circumstances
Statement 2: The focal length of a convex mirror is always taken as positive
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
We can produce a real image by plane or convex mirror
Focal length of convex mirror is taken positive


Q9. Statement 1: The colour of the green flower seen through red glass appears to be dark
Statement 2: Red glass transmits only red light
  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
Red glass transmits only red light and absorbs all the colours of which light. Thus, when green flower is seen through red glass it absorbs the green colour, so it appears to be dark

Q10. Statement 1: The focal length of a lens does not depend on the medium in which it is submerged
Statement 2: 1/f=(μ_2-μ_1)/μ_1 (1/R_1 -1/R_2 )

  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •   Statement 1 is True, Statement 2 is False
  •   Statement 1 is False, Statement 2 is True
Solution
As can be seen from the expression of f,
it depends upon the refractive index of the medium in which the lens is submerged

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