Question

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.

Answer #1

*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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