Question

If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, and the object is 0.50 m tall, how tall is the image?

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Answer 1

Let the image height = x
• 0.5:8=x:2
0.5/8=x/2
8x=1.0
x=1/8

Answer 2

Image height = 0.125 m tall

Step-by-step explanation:

As we know that magnification is given by

`m = (d_i)/(d_o) = (h_i)/(h_o)`

now we know that

`d_i = 2.0 m`

`d_o = 8.0 m`

Also we know that

`h_o = 0.50 m`

now from above equation

`(h_i)/(0.50) = (2.0)/(8.0)`

`h_i = 0.50 * (2)/(8) = 0.125 m`

So image height will be 0.125 m