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Ray Optics and Optical Instruments

  1. A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the Sun is 1.39 ×109 m and its mean distance from the earth is 1.5 × 1011 m. What is the diameter of the Sun’s image on the paper?​​
    1. 9.2 × 10–4 m
    2. 6.5 × 10–4 m
    3. 6.5 × 10–5 m
    4. 12.4 × 10–4 m
Correct Option: A

We have ,
v
=
Size of image
uSize of object

or , Size of image =
v
× Size of object
u

=
10-1
× (1.39 × 109)
1.5 × 1011

= 0.92 ×10–3 m = 9.2 × 10–4 m
∴ Diameter of the sun’s image  = 9.2 × 10–4 m.



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