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 |
 53%
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Two slabs \(P\) & \(Q\) of transparent materials have a thickness in the ratio \(2:5\). If a ray of light takes the same amount of time to move from \(A\) to \(B\) and \(B\) to \(C\), then the refractive index of \(Q\) with respect to \(P\) will be:

   

1. \(0.4\)
2. \(2.5\)
3. \(1.4\)
4. \(1.85\)

Subtopic:  Refraction at Plane Surface |
 65%
From NCERT
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In the following diagram, what is the distance \(x\) if the radius of curvature is \(R= 15​​\text{cm}?\)

    

1. \(30​​\text{cm}\) 2. \(20​​\text{cm}\)
3. \(15​​\text{cm}\) 4. \(10​​\text{cm}\)  
Subtopic:  Refraction at Curved Surface |
 79%
From NCERT
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In the diagram shown below, the image of the point object \(O\) is formed at \(l\) by the convex lens of focal length \(20~\text{cm},\)  where \(F_1\) and \(F_2\) are foci of the lens. The value of \(x'\) is:
        

1. \(10~\text{cm}\) 2. \(20~\text{cm}\)
3. \(30~\text{cm}\) 4. \(40~\text{cm}\)
Subtopic:  Lenses |
 72%
From NCERT
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If the space between two convex lenses of glass in the combination shown in the figure below is filled with water, then:
               

1. the focal length of the system will decrease.
2. the focal length of the system will increase.
3. the power of the system will increase.
4. the power of the system will become infinite.

Subtopic:  Lenses |
 64%
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The focal lengths of the objective and eyepiece of a compound microscope are \(2​​\text{cm}\) and \(6.25​​\text{cm}\) respectively. An object \(AB\) is placed at a distance of \(2.5​​\text{cm}\) from the objective which forms the image \(A'B'\) as shown in the figure. The maximum magnifying power in this case, will be:
          

1. \(10\) 2. \(20\)
3. \(5\) 4. \(25\)
Subtopic:  Simple & Compound Microscope |
 69%
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A concave lens of focal length \(25~\text{cm}\) produces an image \(\frac{1}{10}\text{th}\) of the size of the object. The distance of the object from the lens is:

1. \(225~\text{cm}\) 2. \(250~\text{cm}\)
3. \(150~\text{cm}\) 4. \(175~\text{cm}\)
Subtopic:  Lenses |
 84%
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A mark on the surface of the sphere \(\left(\mu= \frac{3}{2}\right)\) is viewed from a diametrically opposite position. It appears to be at a distance \(15~\text{cm}\) from its actual position. The radius of the sphere is:
1. \(15~\text{cm}\)
2. \(5~\text{cm}\)
3. \(7.5~\text{cm}\) 
4. \(2.5~\text{cm}\)

Subtopic:  Refraction at Curved Surface |
 55%
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The correct mirror image of the figure is:
       

1. 2.
3. 4.
Subtopic:  Reflection at Plane Surface |
 79%
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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 |
 78%
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