An object is placed in front of a convex mirror at a distance of 50cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30cm, it is found that the images formed by the two mirrors are along the same line. The radius of curvature of the mirror will be:
Correct answer: B. 25cm
- A. 12.5cm
- B. 25cm
- C. 50/3cm
- D. 18cm
Explanation
When a plane mirror is introduced covering the lower half of a convex mirror, the image formed by the plane mirror is along the same line as the image formed by the convex mirror. By considering the properties of the image formed by the plane mirror, the correct radius of curvature is calculated to be 25cm. The other options are incorrect because they do not correctly apply the mirror formula and consider the properties of the images formed by the mirrors.
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Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.
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