Step 1: Understanding the definition of "child" under the Factories Act.
Under the Factories Act, 1948, a "child" is defined as a person who has not completed his fourteenth year of age. This definition is important to determine the minimum age for employment in factories.
Step 2: Explanation of the options.
- (a) Fifteenth year of age: This is incorrect, as a child is defined as someone who has not completed their fourteenth year.
- (b) Fourteenth year of age: This is the correct answer, as it aligns with the definition provided in the Factories Act.
- (c) Eighteenth year of age: This is incorrect as the definition for a child refers to the fourteenth year, not the eighteenth.
- (d) Sixteenth year of age: This is incorrect as well.
Step 3: Conclusion.
Thus, the correct answer is (b) fourteenth year of age.