Image attached please answer .Spherical wavefronts shown in figure, strike a plane mirror. Reflected wavefronts will be

When spherical wavefronts encounter a plane mirror, the behavior of the reflected wavefronts can be understood using the principles of reflection in wave theory. The key concept here is that the angle of incidence equals the angle of reflection. This fundamental rule applies to both light and sound waves, and it holds true for spherical wavefronts as well.

Understanding Wavefronts and Reflection

Wavefronts represent the loci of points in a medium that oscillate in unison. In this case, the incoming wavefronts are spherical, meaning they expand outward from a point source. When these wavefronts strike a plane mirror, they reflect off the surface, generating new wavefronts.

Characteristics of Reflected Wavefronts

The reflected wavefronts will also be spherical if we consider them from the perspective of the point source. Here’s how it works:

• Angle of Incidence: The angle at which the wavefront strikes the mirror is crucial. This angle is measured between the incoming wavefront and the normal (a line perpendicular to the surface of the mirror).
• Angle of Reflection: According to the law of reflection, the angle at which the wavefront reflects off the mirror will be equal to the angle of incidence.
• New Wavefront Formation: As the incoming spherical wavefronts reflect, they create new wavefronts that are also spherical. These new wavefronts will appear as if they are originating from a virtual point source behind the mirror.

Visualizing the Process

Imagine a calm pond where you toss a stone. The ripples that form are akin to spherical wavefronts emanating from the point where the stone hits the water. Now, if you place a flat board (similar to a mirror) in the water at an angle, the ripples that hit the board will bounce off, creating new ripples that travel away from the surface. The pattern remains consistent, resembling the original ripples but oriented differently.

Practical Implications

This concept has practical applications in various fields, such as optics and acoustics. For example, in optical devices, understanding how light waves reflect off surfaces helps in designing lenses and mirrors that focus or redirect light effectively. Similarly, in acoustics, the reflection of sound waves off surfaces can affect how we perceive sound in a room.

In summary, when spherical wavefronts strike a plane mirror, the reflected wavefronts remain spherical and are generated based on the law of reflection. This not only illustrates fundamental wave behavior but also has significant practical implications in technology and everyday life.