The sun is 150,000,000 km from earth; its diameter is 1,400,000 km. A student uses a 4.6-cm-diameter lens with f = 10 cm to cast an image of the sun on a piece of paper. What is the diameter of the image on the paper?

Zachery Mckee

Zachery Mckee

Answered question

2022-11-24

The sun is 150,000,000 km from earth; its diameter is 1,400,000 km. A student uses a 4.6-cm-diameter lens with f = 10 cm to cast an image of the sun on a piece of paper. What is the diameter of the image on the paper?

Answer & Explanation

Lilly Parrish

Lilly Parrish

Beginner2022-11-25Added 6 answers

the image distance 1 / v = 1 / 1 / u
Where
u= Object distance = 15 × 10 7 k m
Diameter = 1400000 km
Diameter of lens = 4.6 cm
f= Focal length ( 10 c m ) = 1 × 10 4
We can substitute to the above formula we have
1 / 15 × 10 7 k m + 1 / 1 × 10 4 V = 0.001 k m
Therefore, paper stayed on the focus, hence the sharp image

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