MCQ
A student has obtained an image of a well-illuminated distant object on a screen to determine the focal length, $\text{F}_{1}$  of the given spherical mirror. The teacher then gave him another mirror of focal length, $\text{F}_{2}$  and asked him to obtain a focussed 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 $\text{F}_{1} < \text{F}_{2}$
  • B
    Concave and $\text{F}_{1} > \text{F}_{2}$
  • C
    Convex and $\text{F}_{1} < \text{F}_{2}$
  • D
    Convex and $\text{F}_{1} > \text{F}_{2}$

Answer

  1. Concave and F1 < F2.

​​​​​​​​​​​​​​Explanation:

Since the image is focused, the spherical mirror is a concave mirror. For second mirror the distance is increased to focus the image on the screen. Hence, focal length is more than that of first mirror.

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