Yes , derivation of mirror formula are important.
it can be asked in board exam.

Importance of Derivation of Mirror Formula

Mirror formula is an important concept in optics that helps in understanding the formation of images in mirrors. The derivation of mirror formula is equally important as it helps in understanding the underlying principles and formulas used in optics.

Understanding the Concept of Image Formation

The mirror formula is derived based on the principles of reflection and the formation of images in mirrors. By understanding the derivation of the mirror formula, one can understand how the size, orientation, and position of an object affect the formation of its image in a mirror.

Application in Real-World Scenarios

The mirror formula is extensively used in various real-world scenarios, including the design of optical instruments such as telescopes, microscopes, and cameras. By understanding the derivation of the mirror formula, one can design and optimize optical instruments for specific applications.

Understanding the Limitations of Mirrors

The derivation of the mirror formula also helps in understanding the limitations of mirrors. For instance, the mirror formula shows that the image formed by a mirror is always virtual, meaning that it cannot be projected onto a screen. This limitation is important to consider when designing optical instruments that require real images.

Enabling Further Learning

Finally, the derivation of the mirror formula is important as it enables further learning in the field of optics. Once one understands the principles and formulas used in optics, they can learn more about other optical phenomena such as refraction, interference, and diffraction.

In conclusion, the derivation of mirror formula is important in understanding the principles of optics, designing optical instruments, understanding the limitations of mirrors, and enabling further learning in the field of optics.