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    A convex mirror is made from a section of the surface of a sphere of radius 10.0cm. Its principal focus is at a distance of from its pole.
    Question

    A convex mirror is made from a section of the surface of a sphere of radius 10.0cm. Its principal focus is at a distance of from its pole.

    A.

    10.0cm

    B.

    20.0cm

    C.

    5.0cm

    D.

    40.0cm

    Correct option is C

    The correct answer is option (c) 5 cm

    Given : 

    Convex mirror

    radius of curvature R=10.0cmR = 10.0 \, \text{cm}R=10.0cm  

    Formula used :- ​For a convex mirror, the principal focus fff is related to the radius of curvature RRR by the formula:

    f=R2f=\frac{R}{2}

    Solution :                                                       

    f=102f=\frac{10}{2}

              f=5cmf=5 cm

    Thus, the principal focus is at a distance of 5.0 cm from the pole.​​

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