A biconvex lens has a radius of curvature of magnitude 20 cm . Which one of the following options describes best the image formed of an object of heig - Physics MCQ Physics | ExamTest.live

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A biconvex lens has a radius of curvature of magnitude . Which one of the following options describes best the image formed of an object of height placed from the lens? (Assume refractive index )

A $Real, inverted, height = 1 cm$
B $Virtual, upright, height = 1 cm$
C $Virtual, upright, height = 0.5 cm$
D $Real, inverted, height = 4 cm$

Solution & Step-by-step Explanation

Using Lens Maker's Formula for biconvex lens (R_{1} = 20, R_{2} = - 20): \frac{1}{f} = (μ - 1) (\frac{1}{R _{1}} - \frac{1}{R _{2}}) = (1.5 - 1) (\frac{1}{20} + \frac{1}{20}) = 0.5 \times \frac{2}{20} = \frac{1}{20} \Rightarrow f = 20 cm Using Lens Formula (u = - 30, f = 20): \frac{1}{v} - \frac{1}{- 30} = \frac{1}{20} \Rightarrow \frac{1}{v} = \frac{1}{20} - \frac{1}{30} = \frac{3 - 2}{60} = \frac{1}{60} \Rightarrow v = 60 cm Magnification m = \frac{v}{u} = \frac{60}{- 30} = - 2 .Height of image h_{i} = m \times h_{o} = - 2 \times 2 = - 4 cm .The image is real, inverted, and 4 cm tall.

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A biconvex lens has a radius of curvature of magnitude . Which one of the following options describes best the image formed of an object of height placed from the lens? (Assume refractive index )

Real, inverted, height = 1 cm

Virtual, upright, height = 1 cm

Virtual, upright, height = 0.5 cm

Real, inverted, height = 4 cm

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A biconvex lens has a radius of curvature of magnitude $20 cm$ . Which one of the following options describes best the image formed of an object of height $2 cm$ placed $30 cm$ from the lens? (Assume refractive index $μ = 1.5$ )

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A biconvex lens has a radius of curvature of magnitude 20cm. Which one of the following options describes best the image formed of an object of height 2cm placed 30cm from the lens? (Assume refractive index μ=1.5)

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A biconvex lens has a radius of curvature of magnitude $20 cm$ . Which one of the following options describes best the image formed of an object of height $2 cm$ placed $30 cm$ from the lens? (Assume refractive index $μ = 1.5$ )