A convex lens forms a real and inverted image | vedclass

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(B) Given that the image is real, inverted, and of the same size as the object, the object must be placed at $2f$ from the convex lens.Since the image

Vedclass · Accepted Answer

At $50\, cm$, $P = 4\, D$

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(B) Given that the image is real, inverted, and of the same size as the object, the object must be placed at $2f$ from the convex lens.Since the image is formed at a distance of $v = 50\, cm$, we have $2f = 50\, cm$.Therefore, the focal length $f = 25\, cm = 0.25\, m$.To obtain an image of the same size, the object must be placed at $2f$, which is $50\, cm$ in front of the lens.The power of the lens $P$ is given by the formula $P = \frac{1}{f(	ext{in meters})}$.Substituting the value, $P = \frac{1}{0.25} = 4\, D$.

$A$ convex lens forms a real and inverted image of a needle at a distance of $50\, cm$ from the lens. Where should the needle be placed in front of the convex lens so that this image is of the same size as the object? Also, find the power of the lens.

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