Question

Select from the following for the next question:

A	virtual, inverted and smaller than the object
B	real, upright and larger than the object
C	real, inverted and smaller than the object
D	real, upright and smaller than the object
E	virtual, upright and smaller than the object
F	virtual, inverted and larger than the object
G	real, inverted and larger than the object
	H virtual, upright and larger than the object

An object is placed 6.4 cm away from a spherical convex mirror. The radius of curvature of the mirror is 20.0 cm. Select the statement from the list above which best describes the image

Answer 1

Radius of curvature = 20 cm

focal length = -20/2 = -10 cm = - 0.1 m

1/u + 1/v = 1/f

u = 6.4 cm = 0.064 m

1/v = 1/f - 1/u

v = f*u/(u - f)

v = -0.1*0.064/(0.064 - (-0.1))

v = -0.039 m = -3.9 cm

since v is negative which means image is virtual

magnification = v/u = -3.9/6.4 = -0.609

image is upright and smaller than object

Correct option is E.