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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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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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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For the given incident ray as shown in the figure, in the condition of the total internal reflection of this ray, the minimum refractive index of the prism will be:

       

1. 3+12

2. 2+12

3. 32

4. 76

Subtopic:  Total Internal Reflection |
 55%
From NCERT
AIPMT - 2002
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The refractive index of the material of a prism is 2 and its refracting angle is \(30^{\circ}\). One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face will retrace its path after reflection from the mirrored surface if its angle of incidence on the prism is:
1. \(60^{\circ}\)
2. \(0^{\circ}\)
3. \(30^{\circ}\)
4. \(45^{\circ}\)

Subtopic:  Prisms |
 78%
From NCERT
AIPMT - 2004
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A beam of light composed of red and green rays is incident obliquely at a point on the face of a rectangular glass slab. When coming out on the opposite parallel face, the red and green rays emerge from:

1. Two points propagating in two different parallel directions
2. One point propagating in two different directions through the slab
3. One point propagating in the same direction through the slab
4. Two points propagating in two different non-parallel directions
Subtopic:  Refraction at Plane Surface |
 55%
From NCERT
AIPMT - 2004
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A tall man, of height \(6\) feet, wants to see his full image. The required minimum length of the mirror will be:

1. \(12\) feet 2. \(3\) feet
3. \(6\) feet 4. Any length
Subtopic:  Reflection at Plane Surface |
 85%
From NCERT
AIPMT - 2000
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Light enters at an angle of incidence in a transparent rod of refractive index n. For what value of the refractive index of the material of the rod, will the light, once entered into it, not leave it through its lateral face whatsoever be the value of the angle of incidence?
1. n >2
2. 1.0
3. 1.3
4. 1.4

Subtopic:  Total Internal Reflection |
 73%
From NCERT
AIPMT - 1998
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A plane convex lens (µ = 1.5) has a radius of curvature \(10~\mathrm{cm}\). It is silvered on its plane surface. The focal length of the lens after silvering is:

1. 10 cm

2. 20 cm

3. 15 cm

4. 25 cm

Subtopic:  Lens Makers' Formula |
 59%
From NCERT
AIPMT - 2000
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