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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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