The equivalent conductance at infinite dilution of \(\mathrm{HCl}\) and \(\mathrm{NaCl}\) are \(426.15\) and \(126.15 \mathrm{mho} \mathrm{cm}^{2} \mathrm{~g} \mathrm{eq}^{-1}\) respectively. It can be said that the mobility of: (a) \(\mathrm{H}^{+}\) ions is much more than that of \(\mathrm{Cl}\) " ions (b) \(\mathrm{Cl}^{-}\) ions is much more than that of \(\mathrm{H}^{+}\) ions (c) \(\mathrm{H}^{+}\) ions is much more than that of \(\mathrm{Na}^{+}\) ions (d) \(\mathrm{Na}^{+}\) ions is much more than that of \(\mathrm{H}^{+}\) ions

Ionic mobility is a key concept in understanding how electric charge is carried in a solution by ions. It refers to the speed at which an ion moves through a solvent under the influence of an electric field. This property is crucial in a multitude of applications, from industrial processes to biological systems.

Ionic mobility is directly related to the ionic size, charge, and the viscosity of the solvent. Ions with higher charges and smaller radii tend to have higher mobility because they can move more easily through the solution. Conversely, larger ions or those in a more viscous solvent will move more slowly.

The equivalent conductance at infinite dilution represents the conductance of an electrolyte when the concentration approaches zero and is a useful measure to compare the mobility of different ions. As the concentration of ions decreases, their interactions become negligible, providing an accurate representation of intrinsic ionic mobility. Therefore, in the context of the given exercise where the equivalent conductance of cations in HCl and NaCl is compared, the larger values indicate greater ionic mobility.For the NEET chemistry curriculum, understanding ionic mobility is essential as it lays the groundwork for topics like electrolytic conductivity, electrochemical cells, and the basics of current flow in solutions. This principle is also applied to analyze experimental data and solve problems related to the migration of ions under an applied electric field in electrolytic solutions.

Electrolyte conductivity is another fundamental concept, especially relevant to students preparing for the NEET chemistry examination. It is a measure of a solution's ability to conduct electricity, which depends on the presence of free-moving charged particles, the ions.

The conductivity of electrolytes is influenced by factors such as ion concentration, temperature, and the nature of the electrolyte itself. As ion concentration increases, so does the conductivity, up to a certain limit. Beyond that limit, further increases in concentration can lead to a decrease in conductivity due to ion pairing or the formation of complex ions.

At infinite dilution, where ions are widely dispersed and do not interact with each other, the conductivity of an electrolyte is at its maximum and is termed its 'limiting conductivity.' This ideal state allows for the determination of individual ion conductances, which can be used to predict the behavior of ions in solution.

In the exercise provided, the conductivity of different ions is inferred from their equivalent conductances at infinite dilution, offering insight into their behavior in electrical fields and laying a foundation for the design and analysis of electrochemical cells, sensors, and batteries.

The National Eligibility cum Entrance Test (NEET) is a highly competitive exam for students aspiring to pursue undergraduate medical courses in India. Chemistry is a significant part of the NEET syllabus, encompassing Physical, Organic, and Inorganic Chemistry. Within this syllabus, concepts like ionic mobility and electrolyte conductivity are considered to be pivotal, particularly for the Physical Chemistry segment.

A clear understanding of these concepts enables students to grasp the principles governing the migration of ions and their conductance in electrolytic solutions, which is important for topics involving electrochemistry, such as the functioning of galvanic cells, electrolysis, and conductometry.Moreover, a strong foundation in these areas will also assist students in solving numerical problems and questions related to the movement of ions, conductivity in different mediums, and factors affecting conductivity which are commonly seen in NEET chemistry papers. Thus, grasping the detailed nuances of these topics is integral for success in exams like NEET, and for anyone interested in pursuing further studies in chemistry.