Sensitivity of Moving Coil Galvanometer and Soft Iron Core Properties

To determine the correct option, let us analyze both statements individually:

1. Analysis of STATEMENT-1:
   The current sensitivity ($S_i$) of a moving coil galvanometer is defined as the deflection produced per unit current:
   $S_i = \frac{\theta}{I} = \frac{NAB}{k}$
   where:

   • $N$ is the number of turns in the coil,
   • $A$ is the area of the coil,
   • $B$ is the magnetic field,
   • $k$ is the torsional constant of the restoring spring.

   When a core of ferromagnetic material (like soft iron) is placed inside the coil, it significantly increases the magnetic flux density $B$ due to its high magnetic permeability ($\mu_r \gg 1$). As $B$ increases, the current sensitivity $S_i$ increases.

   Therefore, STATEMENT-1 is True.

2. Analysis of STATEMENT-2:
   Soft iron is used as a core material because it has high magnetic permeability ($\mu_r$) and low retentivity as well as low coercivity. Because of its low coercivity, soft iron can be easily magnetized and demagnetized with minimal energy loss (hysteresis loss).

   The assertion in STATEMENT-2 that soft iron "cannot be easily magnetized or demagnetized" is incorrect.

   Therefore, STATEMENT-2 is False.

Conclusion:
STATEMENT-1 is True, STATEMENT-2 is False.

Correct Option: (C)