More mirrors. Object O stands on the central axis of a spherical or plane mirror

Question

More mirrors. Object O stands on the central axis of a spherical or plane mirror. The table refers to the focal distance f, the object distance p, the image distance i, and the lateral magnification m. The image is located on the same side of the mirror as O. Fill in the missing information, including signs. NEED i(cm) & m

f (cm) p (cm) i (cm) m

*28 +65 ? ? * sign not given

Describe the mirror and image. (Select all that apply.)

plane mirror

concave mirror

convex mirror

real image

virtual image

upright image

inverted image

Explanation / Answer

by mirror formula we have to use 1/p + 1/i = 1/f
By cartesian sign convention as p is +ve then mirror has to be convex and object is virtual
Plug p = +65, f = +28 (since convex)
So i = p*f /(p-f) = +37
magnification = i/p = 37/65 = 0.569
Hence mirror is CONVEX
Image VIRTUAL
UPRIGHT

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