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JEE Advanced 2018Paper 1
Exam
JEE Advanced
Year
2018
Paper
Paper 1
Subject
Physics
Chapter
Ray Optics

JEE Advanced 2018 · Paper 1 · Physics · Ray Optics

Sunlight of intensity 1.3kW m ^ - 2 is incident normally on a thin...

Sunlight of intensity 1.3kWm−21.3kW{m}^{- 2} is incident normally on a thin convex lens of focal length 20cm20cm . Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal length. The average intensity of light, in kWm−2kW{m}^{- 2} , at a distance 22cm22cm from the lens on the other side is __________.Sunlight of intensity 1.3kW m ^ - 2 is incident normally on a thin convex lens of focal length 20cm . Ignore the energy

Correct answer

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Step-by-step solution

Sunlight of intensity 1.3kW m ^ - 2 is incident normally on a thin convex lens of focal length 20cm . Ignore the energy
rR=220=110\dfrac{r}{R} = \dfrac{2}{20} = \dfrac{1}{10}
∴∴ Ratio of area =1100= \dfrac{1}{100}
Let energy incident on lens be E
∴∴ Given EA=1.3\dfrac{E}{A} = 1.3
E=A×1.30E = A \times 1.30
Also aA=1100\dfrac{a}{A} = \dfrac{1}{100}
∴∴ Average intensity of light at 22cm=Ea=A×1.3a=100×1.3=130kW/m222cm = \dfrac{E}{a} = \dfrac{A \times 1.3}{a} = 100 \times 1.3 = 130kW / {m}^{2}
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