A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will:
1. become zero.
2. become infinite.
3. become small, but non-zero.
4. remain unchanged.
Subtopic:  Lens Makers' Formula |
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The focal length of a glass \((\mu = 1.5)\) lens in air is \(20\) cm. If it is dipped in water \(\left(\mu= \frac{4}{3}\right)\) its focal length in water will be:
1. \(80\) cm 2. \(40\) cm
3. \(60\) cm 4. \(20\) cm
Subtopic:  Lens Makers' Formula |
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A plane-convex lens fits exactly into a plano-concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices \(\mu_1\) and \(\mu_2\) and \(R\) is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is:

1. \(\frac{R}{2(\mu_1+\mu_2)}\) 2. \(\frac{R}{2(\mu_1-\mu_2)}\)
3. \(\frac{R}{(\mu_1-\mu_2)}\) 4. \(\frac{2R}{(\mu_2-\mu_1)}\)
Subtopic:  Lens Makers' Formula |
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A plane convex lens \((\mu= 1.5)\) has a radius of curvature \(10~\text{cm}\). It is silvered on its plane surface. The focal length of the lens after silvering is:

1. \(10\) cm 2. \(20\) cm
3. \(15\) cm 4. \(25\) cm
Subtopic:  Lens Makers' Formula |
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Two identical equiconvex thin lenses each of focal lengths \(20\) cm, made of material of refractive index \(1.5\) are placed coaxially in contact as shown. Now, the space between them is filled with a liquid with a refractive index of \(1.5\). The equivalent power of this arrangement will be:

1. \(+5\) D 2. zero
3. \(+2.5\) D 4. \(+0.5\) D
Subtopic:  Lens Makers' Formula |
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