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A student has obtained an image of a well-illuminated distant object on a screen to determine the focal length, $${F_1}$$ of the given spherical mirror. The teacher then gave him another mirror of focal length, $${F_2}$$ and asked him to obtain a focused image of the same object on the same screen. The student found that in order to focus the same object using the second mirror, he has to move the mirror away from the screen. From this observation it may be concluded that both the spherical mirrors given to the student were (select the correct option)


A
Concave and F1< F2
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B
Concave and F1> F2
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C
Convex and F1 < F2
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D
Convex and F1 > F2
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Solution

The correct option is C Concave and $${F_1}$$< $${F_2}$$
Both the mirrors have to be concave, as the light is converged and focused on the screen from a distant object. Also, Since the second mirror is moved further from the screen, it means it has a greater focal length than the first concave mirror. So, we can conclude that the mirror is concave and $$F_{1}$$ < $$F_{2}$$

Physics
NCERT
Standard XII

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