Yes, rays can be curved when they pass through mediums of varying refractive indices, causing the path of light to bend. This is known as refraction.
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The law of reflection is valid for any ray of light. So it is also valid for curved and flat surfaces. For curved surfaces, the normal is taken as the normal to the tangent of the point where the light ray hits the surface.
The four principal rays of a curved mirror are: the ray parallel to the principal axis that reflects through the focal point after reflection, the ray that passes through the focal point before reflection and becomes parallel to the principal axis after reflection, the ray that passes through the center of curvature and reflects back along the same path, and the ray that strikes the mirror at the center of curvature, reflecting back along the same path.
To construct a ray diagram in curved mirrors, you need to draw the principal axis, mark the focal point and center of curvature, then draw incident rays parallel to the principal axis, as well as through the focal point or center of curvature. The point where the rays intersect after reflection will give you the image position and characteristics. Remember that for concave mirrors, the rays converge, while for convex mirrors, they diverge.
A flat piece of glass does not bring light to a focus because it does not bend or refract the light rays. A curved piece of glass, however, can bring light to a focus by bending the light rays as they pass through, converging them to a point. This bending or refraction occurs due to the curved surface of the glass, which changes the direction of the light rays.
Cathode rays are negatively charged particles that move in curved paths in the presence of a magnetic field. The direction and curvature of the cathode rays can be controlled by adjusting the strength and orientation of the magnetic field. This phenomenon is known as the magnetic deflection of cathode rays and is used in devices like cathode ray tubes.