Power of an equi-convex lens is \(P\). After cutting it in different ways, the combination of lenses is given in Column-I and their effective power is given in Column-II. Match the following two columns.
Column-I Column-II
A.   P. zero
B.   Q. \(P\)
C.   R. \(2P\)
D.   S. \(P\over 2\)
 
1. A → Q, B → P, C → S, D → R 
2. A → S, B → R, C → Q, D → P
3. A → Q, B → S, C → Q, D → R
4. A → S, B → R, C → Q, D → Q

Subtopic:  Lenses |
 79%
From NCERT
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The diagram represents a concave mirror, where \(F\) is the principal focus and \(f\) is the focal length. The mirror is used to produce an image of an object.
       
Which of the following statements are correct?
(Assume the mirror is parabolic.)
(A) Incident rays travelling parallel to the principal axis always pass through \(F\) after reflection.
(B) Incident rays passing through \(F\) always travel parallel to the principal axis after reflection.
(C) The image formed is always inverted.
(D) The image formed is always real.
(E) The image formed is always larger than the object.

1. (A) and (C) only 
2. (C), (D) and (E) only
3. (B) and (D) only
4. (A) and (B) only
Subtopic:  Reflection at Spherical Surface |
 82%
From NCERT
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Given below are two statements: 
Statement I: In total internal reflection, the angle of incidence must be greater than a certain minimum angle which depends on the media involved.
Statement II: Total internal reflection cannot occur when light is travelling from an optically rarer to a denser medium.
 
1. Statement I is incorrect and statement II is correct.
2. Both statement I and statement II are correct.
3. Both statement I and statement II are incorrect.
4. Statement I is correct and statement II is incorrect.
Subtopic:  Total Internal Reflection |
 72%
From NCERT
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Given below are two statements: 
Assertion (A): The focal length of the objective of the telescope is larger than that of the eyepiece.
Reason (R): The resolving power of the telescope increases when the aperture of the objective is small.
  
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Telescope |
 60%
From NCERT
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Given below are two statements: 
Assertion (A): Critical angle of light passing from angle to air is minimum for violet colour.
Reason (R): The wavelength of violet light is greater than the light of other colours.
  
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Total Internal Reflection |
 73%
From NCERT
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Given below are two statements: 
Assertion (A): The angle of deviation depends on the angle of the prism.
Reason (R): For the thin prism, \(\delta=(\mu-1)A.\)
  
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Prisms |
 71%
From NCERT
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A biconvex lens is cut into two halves along (i) XOX' and (ii) YOY' as shown in the figure. Let \(f\), \(f'\) \(f''\) be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively.
   
Choose the correct statement from the following:

1. \(f' = f,f'' =2f\) 2. \(f' = 2f, f''=f\)
3. \(f' =f, f''=f\) 4. \(f'=2f, f''=2f\)
Subtopic:  Lenses |
 80%
From NCERT
AIPMT - 2003
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A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will:

1. become zero.
2. become infinite.
3. become small, but non-zero.
4. remain unchanged.

Subtopic:  Lens Makers' Formula |
 70%
From NCERT
AIPMT - 2003
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In a compound microscope, the magnification is \(95\), the distance of the object from the objective lens is \(\frac{1}{3.8}~\text{cm}\) and the focal length of the objective is \(\frac{1}{4}~\text{cm}\). What is the magnification of the eyepiece when the final image is formed at the least distance of distinct vision?
1. \(5\)
2. \(10\)
3. \(100\)
4. none of the above

Subtopic:  Simple & Compound Microscope |
From NCERT
AIPMT - 1999
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A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of a convex lens. If the distance between parallel walls is 'd' then the required focal length of the lens placed in between the walls is:

1. Only \(\frac{\mathrm{d}}{4}\)
2. Only \(\frac{\mathrm{d}}{2}\)
3. More than \(\frac{\mathrm{d}}{4}\)but less than \(\frac{\mathrm{d}}{2}\)
4. Less than or equal to \(\frac{\mathrm{d}}{4}\)

Subtopic:  Lenses |
From NCERT
AIPMT - 2002
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