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    ​The magnification of an image is +1.5 and the object distance is 30 cm from a spherical mirror. The image is formed at ______________.​
    Question

    The magnification of an image is +1.5 and the object distance is 30 cm from a spherical mirror. The image is formed at ______________.

    A.

    45 cm in front of the mirror


    B.

    20 cm in front of the mirror


    C.

    45 cm behind the mirror


    D.

    20 cm behind the mirror

    Correct option is C

    The correct answer is (c) 45 cm behind the mirror

    Explanation: The magnification (M) produced by a mirror is the ratio of the height of the image to the height of the object. It can also be related to the object and image distances:

    M= ImagedistanceObjectdistance\frac{Image distance}{Object distance}

    thus, Image distance = M x Object distance= 1.5 x 30 = 45 cm behind the mirror.

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