Question

A dedicated sports car enthusiast polishes the inside and cutside surfaces of a hubcap that is a thin section of a sphere. When she looks into one side of the huticag, she sees an image of her face 25.0 cm in the back of the hubcap. She then flips the hubcap over and sees another image of her face 10.0 cm in the back of the hubcap. (a) How far (in cm ) is her face from the hubcap? cm (b) What is the radius of curvature (in cm) of the hubeap? वा? (c) What If? If the wishes to project an image of herself on the garage wall 2.40 m behrid hec how far from her face fin cm) ahould she hold the hiscap? A cm (d) What is the magnification of the image on the wali?

Answer 1

For part (a)
If she sees herself 25 cm in the back of the hubcap, then her face is 5 cm in front ( 25 - 20)

For part (b)
The radius of curvature is 6 cm

For part (c)
If the hubcap is to be projected on a wall 2.40 m behind her, then she should hold it 16.5 cm in front of her

For part (d)
The magnification of the image on the wall will be 3 times larger than the image on the hubcap