${10}^{-5}\mathrm{MNaOH}$ solution at 25 °C is diluted 100 times, the pH of the solution will

Solution will become ${10}^{-7}\mathrm{M}$ in $\mathrm{NaOH}$. Since the solution remains alkaline, its pH will be more than 7.

Water's pH level indicates how acidic or basic it is. The range is 0 to 14, with 7 acting as a neutral value. A pH of higher than 7 denotes a base, whereas one of less than 7 suggests acidity. The pH scale really measures the proportion of free hydrogen and hydroxyl ions in water.