A convex lens forms an image of the same size as the object at a distance of $30 c m$ from the lens. Find the power of the lens?

6.6 D

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5.6 D

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5.2 D

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4.8 D

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Solution

The correct option is A
6.6 D

A convex lens forms the image of the same size as the object only when the object is placed at a distance $2 f$ from the lens. In this case, the image is also equal to $2 f$ from the lens.

Hence, $2 f = 30 c m$

or $f = 15 c m = 0.15 m$

Power of the lens, $P$ = $\frac{1}{f}$ = $\frac{1}{0.15}$ D = $6.6 D$

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A convex lens forms an image of the same size as the object at a distance of 30 cm from the lens. Find the power of the lens?

The correct option is A 6.6 D A convex lens forms the image of the same size as the object only when the object is placed at a distance 2f from the lens. In this case, the image is also equal to 2f from the lens. Hence, 2f = 30 cm or f = 15 cm = 0.15 m Power of the lens, P = 1f = 10.15D = 6.6 D

A convex lens forms an image of the same size as the object at a distance of $30 c m$ from the lens. Find the power of the lens?