Question

if you look at yourself in a shiny christmas tree ball with a diameter of 8.9 cm when your face is 26.0 cm away from it, where is your image? express your answer using two significant figures.

Answer 1

The image distance is calculated to be 2.44 cm.

Given that, diameter of the ball is 8.9 cm

Radius of the ball = d/2 = 8.9/2 = 4.45 cm

Object distance u = 26 cm

Now let us find out the image distance using mirror formula,

1/f = 1/u + 1/v ----(1)

where, u is object distance

v is image distance

f is focal length

We know that, focal length f = r/2 = 4.45/2 = 2.23 cm

Let us substitute the values in (1),

1/v = 1/f - 1/u

1/v = 1/2.23 - 1/26

1/v = 0.45 - 0.04

1/v = 0.41

v = 2.44 cm

Thus, the image distance is calculated to be 2.44 cm.

To know more about mirrors:

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