A concave mirror of the focal length \(f_1\) is placed at a distance of \(d\) from a convex lens of focal length \(f_2\). A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance \(d\) must be equal to:
1. \(f_1+f_2\)
2. \(-f_1+f_2\)
3. \(2f_1+f_2\)
4. \(-2f_1+f_2\)

Subtopic:  Reflection at Spherical Surface |
From NCERT
AIPMT - 2012
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The magnifying power of a telescope is \(9\). When it is adjusted for parallel rays the distance between the objective and eyepiece is \(20~\text{cm}\). The focal length of the lenses is:
1. \(10~\text{cm}, ~10~\text{cm}\)
2. \(15~\text{cm}, ~5~\text{cm}\)
3. \(18~\text{cm}, ~2~\text{cm}\)
4. \(11~\text{cm}, ~9~\text{cm}\)

Subtopic:  Telescope |
 83%
From NCERT
AIPMT - 2012
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A biconvex lens \((\mu=1.5)\)  has a radius of curvature of magnitude \(20~\text{cm}\). Which one of the following options, best describes, the image formed by an object of height \(2\) cm placed \(30~\text{cm}\) from the lens?
1. virtual, upright, height \(=0.5\) cm
2. real, inverted, height \(=4\) cm
3. real, inverted, height \(=1\) cm
4. virtual, upright, height \(=1\) cm
Subtopic:  Lenses | Lens Makers' Formula | Refraction at Curved Surface |
 70%
From NCERT
AIPMT - 2011
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Which of the following is not due to total internal reflection?
 
1. Difference between apparent and real depth of the pond
2. Mirage on hot summer days
3. Brilliance of the diamond
4. Working of optical fibre
Subtopic:  Total Internal Reflection |
 85%
From NCERT
AIPMT - 2011
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A ray of light travelling in a transparent medium of refractive index \(\mu\) falls on a surface separating the medium from the air at an angle of incidence of \(45^{\circ}\). For which of the following value of \(\mu\), the ray can undergo total internal reflection?
1. \(\mu = 1.33\)
2. \(\mu =1.40\)
3. \(\mu=1.50\)
4. \(\mu = 1.25\)

Subtopic:  Total Internal Reflection |
 63%
From NCERT
AIPMT - 2010
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A lens having focal length \(f\) and aperture of diameter \(d\) forms an image of intensity \(I\). An aperture of diameter \(\frac{d}{2}\) in central region of lens is covered by a black paper. The focal length of lens and intensity of the image now will be respectively:
1. \(f\) and \(\frac{I}{4}\)
2. \(\frac{3f}{4}\) and \(\frac{I}{2}\)
3. \(f\) and \(\frac{3I}{4}\)
4. \(\frac{f}{2}\) and \(\frac{I}{2}\)

Subtopic:  Lenses |
 57%
From NCERT
AIPMT - 2010
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Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of the combination is:

1. f1f2

2. f2f1

3. f1+f2f1f2

4. None of the above

Subtopic:  Lenses |
 87%
From NCERT
AIPMT - 2008
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A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of a focal length of \(10\) cm. The diameter of the sun is \(1.39\times10^9\) m and its mean distance from the earth is \(1.5\times10^{11}\) m. What is the diameter of the sun's image on the paper?
 

1. \(9.2\times10^{-4}\) m 2. \(6.5\times10^{-4}\) m
3. \(6.5\times10^{-5}\) m 4. \(12.4\times10^{-4}\) m
Subtopic:  Lenses |
 58%
From NCERT
AIPMT - 2008
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A small coin is resting on the bottom of a beaker filled with a liquid. A ray of light from the coin travels up, to the surface of the liquid and moves along its surface (see figure). 
             
How fast is the light traveling in the liquid?
1. \(1.8 \times 10^8 ~\text{m/s}\) 2. \(2.4 \times 10^8~\text{m/s}\)
3. \(3.0 \times 10^8~\text{m/s}\) 4. \(1.2 \times 10^8~\text{m/s}\)
Subtopic:  Total Internal Reflection |
 63%
From NCERT
AIPMT - 2007
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The frequency of a light wave in a material is 2×1014 Hz and the wavelength is 5000 Å. The refractive index of the material will be:

1. 1.40

2. 1.50

3. 3.00

4. 1.33

Subtopic:  Refraction at Plane Surface |
 77%
From NCERT
AIPMT - 2007
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