A spherical silver Christmas tree ornament, 20 cm in diameter, acts as a mirror.
(a) Are the images one sees in it real or virtual, upright or inverted? (Select all that apply.)
-real
-virtual
-upright
-inverted
(b) Find the image height of a man 1.9 m tall, standing 3.4 m from
the ornament.
a) Since it is spherical mirror So it is like a convex mirror /
The image is inside the mirror So it is VIRTUAL .
The image in convex mirror is virtual and upright .
So Answer is
VIRTUAL , UPRIGHT .
b) Using mirror equation
1/f =1/v+1/u
1/v=1/f -1/u...1
here f=R/2 since R=20/2 =10 cm So f=10/2 =5 cm , u= -3.4 m=-340 cm ( I am using cartesian sign convention )
Put these value in equation 1
1/v=1/5-(-1/340) =1/5+1/340
1/v=(68+1)/340
v=340/69
v=4.93 cm
magnification
m=h'/h =-v/u
h' =-vh/u
here v=4.93 cm ,u=-340cm , h=1.9 m
h' =-(4.93*1.9)/(-340)
h'=0.02755 m
h'=0.028 m Answer
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