Concept:
Permanent hardness of water is caused by dissolved salts of:
• Calcium
• Magnesium
especially chlorides and sulphates.
This hardness cannot be removed simply by boiling.
To remove permanent hardness, chemicals like washing soda are used.
Step 1: Understand washing soda.
Washing soda is:
\[
Na_2CO_3 \cdot 10H_2O
\]
It reacts with calcium and magnesium salts to form insoluble carbonates which precipitate out.
Step 2: Understand why washing soda softens water.
Example reaction:
\[
CaSO_4 + Na_2CO_3 \rightarrow CaCO_3 \downarrow + Na_2SO_4
\]
The insoluble calcium carbonate settles down, thereby removing hardness.
Step 3: Analyze all options carefully.
Option (A): Baking soda
Used in cooking and baking.
Not mainly used for water softening.
Incorrect.
Option (B): Washing soda
Used for removing permanent hardness.
Correct.
Option (C): Bleaching powder
Used for disinfection and bleaching.
Incorrect.
Option (D): Common salt
Used as table salt.
Incorrect.
Step 4: Choose the correct answer.
Thus, the substance used for softening permanent hardness of water is:
\[
\boxed{\text{Washing soda}}
\]
Hence,
\[
\boxed{(2)\ \text{Washing soda}}
\]