A person with a normal near point \((25~\text{cm})\) using a compound microscope with an objective of focal length \(8.0~\text{mm}\)  and an eyepiece of focal length \(2.5~\text{cm}\) can bring an object placed at \(9.0~\text{mm}\) from the objective in sharp focus. What is the separation between the two lenses?
1. \(7.20~\text{cm}\)
2. \(9.47~\text{cm}\)
3. \(2.50~\text{cm}\)
4. \(2.27~\text{cm}\)

Subtopic:  Simple & Compound Microscope |
 68%
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A small telescope has an objective lens of a focal length \(144\) cm and an eyepiece of focal length \(6.0\) cm. What is the magnifying power of the telescope?
1. \(30\)
2. \(20\)
3. \(24\)
4. \(32\)

Subtopic:  Telescope |
 87%
From NCERT
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A giant refracting telescope at an observatory has an objective lens of focal length \(15\) m. If an eyepiece of focal length \(1.0\) cm is used, what is the angular magnification of the telescope?
1. \(1175\)
2. \(1250\)
3. \(1300\)
4. \(1500\)

Subtopic:  Telescope |
 83%
From NCERT
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A small pin fixed on a table top is viewed from above from a distance of \(50~\text{cm}\). By what distance would the pin appear to be raised if it is viewed from the same point through a \(15~\text{cm}\) thick glass slab held parallel to the table? (The Refractive index of glass is \(1.5\))
1. \(5~\text{cm}\)
2. \(3~\text{cm}\)
3. \(3.5~\text{cm}\)
4. \(4.5~\text{cm}\)

Subtopic:  Refraction at Plane Surface |
 72%
From NCERT
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A cross-section of a ‘light pipe’ made of a glass fiber of refractive index 1.68. The outer covering of the pipe is made of a material of refractive index 1.44. What is the range of the angles of the incident rays with the axis of the pipe for which total reflections inside the pipe take place, as shown in the figure?



1. \(0^\circ<i<45^\circ\)
2. \(0^\circ<i<60^\circ\)
3. \(45^\circ<i<75^\circ\)
4. \(45^\circ<i<90^\circ\)

Subtopic:  Total Internal Reflection |
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The image of a small electric bulb fixed on the wall of a room is to be obtained on the opposite wall 3 m away by means of a large convex lens. What is the maximum possible focal length of the lens required for the purpose?

1. 0.60 cm
2. 0.01 m
3. 0.75 m
4. 0.65 m

Subtopic:  Lenses |
 60%
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A screen is placed \(90~\text{cm}\) from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by \(20~\text{cm}\). The focal length of the lens is:
1. \(18.81~\text{cm}\)
2. \(20.04~\text{cm}\)
3. \(13.01~\text{cm}\)
4. \(21.39~\text{cm}\)

Subtopic:  Lenses |
 51%
From NCERT
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At what angle should a ray of light be incident on the face of a prism of refracting angle \(60^{\circ}\) so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is \(1.524\).
1. \(29.75^\circ\)
2.\(19^\circ\)
3.\(17.23^\circ\)
4.\(19.57^\circ\)

Subtopic:  Prisms |
From NCERT
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A man with a normal near point (\(25~\text{cm}\)) reads a book with small print, using a magnifying glass: a thin convex lens of focal length \(5~\text{cm}\). What is the closest distance at which he should keep the lens from the page so that he can read the book when viewing through the magnifying glass?
1. \(3.5~\text{cm}\)
2. \(4.2~\text{cm}\)
3. \(4.9~\text{cm}\)
4. \(5.0~\text{cm}\)

Subtopic:  Lenses |
 66%
From NCERT
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A man with normal near point (\(25~\text{cm}\)) reads a book with small print using a magnifying glass: a thin convex lens of focal length \(5~\text{cm}\). What is the ratio of maximum and the minimum angular magnification (magnifying power) possible using the above simple microscope?
1. \(\frac65\)
2. \(\frac56\)
3. \(\frac32\)
4. \(\frac23\)

Subtopic:  Simple & Compound Microscope |
 67%
From NCERT
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