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  4. A convex lens of focal length 15 cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image is

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Q. A convex lens of focal length $15 \,cm$ is placed on a plane mirror. An object is placed at $30\, cm$ from the lens. The image is

Ray Optics and Optical Instruments

Solution:

$\frac{1}{F} = \frac{1}{f_{l} } +\frac{1}{f_{m}} +\frac{1}{f_{l}} = \frac{2}{f_{l}} + \frac{1}{\infty} $
$\Rightarrow F = \frac{15}{2}cm$
$\frac{2}{15 } = \frac{1}{30} +\frac{1}{v}, v = 10\, cm$.
$\therefore $ image is real, $10\, cm$ in front of mirror.