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A boy is trying to start a fire by focus...

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 `1.39xx10^(9)` m and its mean distance from the earth is `1.5xx10^(11)m.` What is the diameter of the sun's image on the paper ?

A

`6.5xx10^(-5)m`

B

`12.4xx10^(-4)m`

C

`9.2xx10^(-4)m`

D

`6.5xx10^(-4)m`

Text Solution

Verified by Experts

The correct Answer is:
C


`u=1.5xx10^(11)m`
`u=f=10cm=0.1m`
`(upsilon)/(u)=(h_(i))/(h_(0))`
`rArr" "(0.1)/(1.5xx10^(11))=(h_(i))/(1.39xx10^(9))`
`h_(i)=(1.39xx10^(8))/(1.5xx10^(11))=9.2xx10^(-4)m`
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