In normal adjustment, the angular magnification of an astronomical telescope is \(39\). If length of the tube is \(2\) m, then focal length of the objective and eyepiece are respectively:

1. \(195~\text{cm}, 5~\text{cm}\) 2. \(190~\text{cm}, 10~\text{cm}\)
3. \(20~\text{cm}, 180~\text{cm}\) 4. \(10~\text{cm}, 190~\text{cm}\)

Subtopic:  Telescope |
 84%
Level 1: 80%+
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A ray of light is incident on an equilateral prism at an angle of incidence \(i\) such that it is incident normally on other refracting faces. Find \(i\). [Take\(\mu_{\text{glass}}=2\)]
1. \(30^{\circ}\)
2. \(45^{\circ}\)
3. \(60^{\circ}\)
4. Not possible
Subtopic:  Prisms |
 63%
Level 2: 60%+
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The ratio of the velocity of light in a medium to the velocity of light in a vacuum is \(\frac{4}{5}\). If the ray of light is emerging from this medium into the air, then the critical angle for this interface of medium and air will be:
1. \(30^\circ\) 2. \(37^\circ\)
3. \(53^\circ\) 4. \(45^\circ\)
Subtopic:  Total Internal Reflection |
 86%
Level 1: 80%+
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If a light ray is incident normally on face \(AB\) of a prism, then for no emergent ray from second face \(AC\):
\([\mu \rightarrow\) refractive index of glass of prism]

          

1. \(\mu=\frac{2}{\sqrt{3}}\) 2. \(\mu>\frac{2}{\sqrt{3}}\)
3. \(\mu<\frac{2}{\sqrt{3}}\) 4. \(\mu\) can have any value.
Subtopic:  Prisms |
 74%
Level 2: 60%+
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In a glass \((\mu = 1.5)\) sphere with a radius of \(10​​\text{cm},\) there is an air bubble \(B\) at a distance of \(5​​\text{cm}\) from \(C.\) The distance of the bubble from the surface of the sphere (i.e., point \(A\)) as observed from the point \(P\) in the air will be:

            

1. \(4.5​​\text{cm}\) 2. \(20.0​​\text{cm}\)
3. \(9.37​​\text{cm}\) 4. \(6.67​​\text{cm}\)
Subtopic:  Refraction at Curved Surface |
 61%
Level 2: 60%+
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A lens forms an image of a point object placed at distance \(20~\text{cm}\) from it. The image is formed just in front of the object at a distance \(4~\text{cm}\) from the object (and towards the lens). The power of the lens is:
1. \(-2.25~\text D\) 
2. \(1.75~\text D\) 
3. \(-1.25~\text D\) 
4. \(1.4~\text D\) 

Subtopic:  Lenses |
 79%
Level 2: 60%+
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The distance between the object and its real image formed by a concave mirror is minimum when the distance of the object from the center of curvature of the mirror is: (where\(f\) is the focal length of the mirror)
1. zero
2. \(\dfrac{f}{2}\)
3. \(f\)
4. \(2f\)

Subtopic:  Reflection at Spherical Surface |
 55%
Level 3: 35%-60%
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A point object \(O\) is placed at a distance \(20\) cm from a biconvex lens of the radius of curvature \(20\) cm and \(\mu=1.5.\) The final image produced by lens and mirror combination will be at:

       
1. \(10\) cm from the mirror
2. \(20\) cm from the lens
3. \(-20\) cm from the lens
4. \(-15\) cm from the mirror
Subtopic:  Lenses |
 54%
Level 3: 35%-60%
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A person can see objects clearly between \(1~\text{m} \)and \(3~\text{m}. \). The power of the lens required to correct near point will be:
1. \(-2.5~\text{D}\)
2. \(3~\text{D}\)
3. \(+ 1.5~\text{D}\)
4. \(- 1.75~\text{D}\)

Subtopic:  Human Eye |
 67%
Level 2: 60%+
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In the case of a compound microscope, the image formed by the objective lens is:

1. Virtual, erect, and diminished.
2. Real, erect, and magnified.
3. Virtual, inverted, and enlarged. 
4. Real, inverted, and enlarged.

Subtopic:  Simple & Compound Microscope |
 73%
Level 2: 60%+
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