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Mirror Formula

When an objec...

Question

When an object is at a distance 3 meters and 1 meters from the optical centre of a convex lens a real and virtual images are formed respectively, with the same magnification. Find the focal length of the lens (in meters). ___

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Solution

$\frac{f}{- u_{1} + f} = - \frac{f}{(- u_{2} + f)} \Rightarrow - u_{2} + f = u_{1} - f \Rightarrow f = \frac{u_{1} + u_{2}}{2} = 2$

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