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प्रश्न
A concave lens produces an image 20 cm from the lens of an object placed 30 cm from the lens. The focal length of the lens is:
(a) 50 cm
(b) 40 cm
(c) 60 cm
(d) 30 cm
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उत्तर
60 cm
Object distance from the lens, u =-30 cm
Image distance from the lens, v =-20 cm
Using the lens formula, we get:
`1/f=1/v-1/u`
`1/f=1/-20-1/-30`
`1/f=1/-20+1/30`
`1/f=(-3+2)/60=1/60`
∴ f =- 60 cm
Therefore, the focal length of the lens is 60 cm.
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संबंधित प्रश्न
Define the following term in the context of spherical mirrors:- Principal axis
Explain the following term related to spherical lenses:- principal focus
Match the items given in Column I with one or more items of Column II.
| Column I | Column II | ||
| (a) | A plane mirror | (i) | Used as a magnifying glass. |
| (b) | A convex mirror | (ii) | Can form image of objects spread over a large area. |
| (c) | A convex lens | (iii) | Used by dentists to see enlarged image of teeth. |
| (d) | A concave mirror | (iv) | The image is always inverted and magnified. |
| (e) | A concave lens | (v) | The image is erect and of the same size as the object. |
| (vi) | The image is erect and smaller in size than the object. |
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(iii) Radius of curvature
(iv) Principal axis
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Write the spherical mirror's formula and explain the meaning of each symbol used in it.
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Illustrate your answer with the help of a ray diagram.
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The following figure shows a concave mirror with its pole (P), focus (F), and center of curvature (C). Draw a ray diagram to show the formation of the image of an object AB by the concave mirror.
Define the term Focus of a concave mirror.
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Numerical problem.
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