Two thin lenses are of the same focal lengths (\(f\)), but one is convex and the other one is concave. When they are placed in contact with each other, the equivalent focal length of the combination will be:
1. infinite
2. zero
3. \(f/4\)
4. \(f/2\)
Subtopic:  Lenses |
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A lens is made up of \(3\) different transparent media as shown in the figure. A point object \(O\) is placed on its axis beyond \(2f\). How many real images will be obtained on the other side?
        
1. \(2\)
2. \(1\)
3. No image will be formed
4. \(3\)
Subtopic:  Lenses |
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A biconvex lens has radii of curvature, \(20~\text{cm}\) each. If the refractive index of the material of the lens is \(1.5,\) the power of the lens is:
1. infinity 2. \(+2~\text{D}\) 
3. \(+20 ~\text{D}\)  4. \(+5~\text{D}\) 
Subtopic:  Lenses |
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A concave lens of focal length \(-25\) cm is sandwiched between two convex lenses, each of focal length, \(40\) cm. The power in dioptre of the combined lens would be:

1. \(55\) 2. \(9\)
3. \(1\) 4. \(0.01\)
Subtopic:  Lenses |
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A convex lens A of focal length \(20~\text{cm}\) and a concave lens \(B\) of focal length \(5~\text{cm}\) are kept along the same axis with the distance \(d\) between them. If a parallel beam of light falling on \(A\) leaves \(B\) as a parallel beam, then distance \(d\) in \(\text{cm}\) will be:
1. \(25\)                         
2. \(15\) 
3. \(30\)                         
4. \(50\)

Subtopic:  Lenses |
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A convex lens \({A}\) of focal length \(20~\text{cm}\) and a concave lens \({B}\) of focal length \(5~\text{cm}\) are kept along the same axis with a distance \(d\) between them. If a parallel beam of light falling on \(A\) leaves \(B\) as a parallel beam, then the distance \(d\) in cm will be: 
1. \(50\)
2. \(30\)
3. \(25\)
4. \(15\)

Subtopic:  Lenses |
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A point object is placed at a distance of \(60~\text{cm}\) from a convex lens of focal length \(30~\text{cm}\). If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of \(40~\text{cm}\) from it, the final image would be formed at a distance of:

1. \(30~\text{cm}\) from the plane mirror, it would be a virtual image.
2. \(20~\text{cm}\) from the plane mirror, it would be a virtual image.
3. \(20~\text{cm}\) from the lens, it would be a real image.
4. \(30~\text{cm}\) from the lens, it would be a real image.
Subtopic:  Lenses |
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A plane-convex lens of unknown material and unknown focal length is given. With the help of a spherometer, we can measure the

1. focal length of the lens.
2. radius of curvature of the curved surface.
3. aperture of the lens.
4. refractive index of the material.

Subtopic:  Lenses |
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The power of a biconvex lens is \(10\) dioptre and the radius of curvature of each surface is \(10\) cm. The refractive index of the material of the lens is:

1. \( \dfrac{4}{3} \) 2. \( \dfrac{9}{8} \)
3. \( \dfrac{5}{3} \) 4. \( \dfrac{3}{2}\)
Subtopic:  Lenses |
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A biconvex lens has power \(P.\) It is cut into two symmetrical halves by a plane containing the principal axis. The power of one part will be:

1. \(0\) 2. \(\dfrac{P}{2}\)
3. \(\dfrac{P}{4}\) 4. \(P\)
Subtopic:  Lenses |
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