# Comment on "Dispersion relation for MHD waves in homogeneous plasma"

## TL;DR

This paper critiques Pandey & Dwivedi's claim that the dispersion relation for MHD waves is a sixth degree polynomial, clarifying that only five roots are relevant for wave propagation analysis.

## Contribution

The authors demonstrate that Pandey & Dwivedi's derivation introduces an unnecessary root, emphasizing that only five roots are necessary for understanding wave modes.

## Key findings

- Pandey & Dwivedi's sixth degree polynomial includes an extraneous root.
- Five roots of the dispersion relation are sufficient for wave analysis.
- The additional root is insignificant for the physical interpretation of wave modes.

## Abstract

Pandey & Dwivedi (2007) again tried to claim that the dispersion relation for the given set of equations must be a sixth degree polynomial. Through a series of papers, they are unnecessarily creating confusion. In the present communication, we have shown how Pandey & Dwivedi (2007) are introducing an additional root, which is insignificant. Moreover, five roots of both the polynomials are common and they are sufficient for the discussion of propagation of slow-mode and fast-mode waves.