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  • As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30 cm an

As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30 cm and refraction index of the material for both the lenses is 1.75. Both the lenses are placed at distance of 40 cm from each other. Due to the combination, the image of the object is formed at distance = ____cm, from concave lens.

Option: 1

120


Option: 2

__


Option: 3

__


Option: 4

__


Answers (1)

best_answer

Magnitude of focal length of both lensf=\frac{\mathrm{R}}{\mu-1} \Rightarrow f=\frac{30}{1.75-1} \Rightarrow f=40 \mathrm{~cm}

f=-40 \mathrm{~cm} \quad f=+40 \mathrm{~cm}

Concave lens will form image at its focus for convex lens

\frac{1}{v}-\frac{1}{u}=\frac{1}{f} \Rightarrow \frac{1}{v}-\frac{1}{-80}=\frac{1}{+40}

V = +80 cm

From concave lens distance of image of d = 80 + 40

d = 120 cm

 

 

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Gunjita

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