In the life history of cockroach (Periplaneta) there is :
(a) No Metamorphosis
(b) Gradual metamorphosis
(c) Complete metamorphosis
(d) Anamophosis

Options

A. No Metamorphosis
B. Gradual metamorphosis
C. Complete metamorphosis
D. Anamophosis

Answer

To determine the type of metamorphosis in the life history of the cockroach (Periplaneta), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Life Cycle of Cockroach**:
- Cockroaches reproduce sexually, leading to the production of eggs.

2. **Egg Hatching**:
- The eggs hatch into a stage known as the nymph or nymphal stage.

3. **Definition of Metamorphosis**:
- Metamorphosis is the process through which an organism transforms from one stage to another, leading to the formation of the adult organism.

4. **Stages of Development**:
- In cockroaches, the nymph undergoes multiple stages of development before reaching adulthood.

5. **Shedding of Exoskeleton**:
- During its growth, the cockroach sheds its exoskeleton multiple times (approximately 13 times) as it progresses through different nymphal stages.

6. **Type of Metamorphosis**:
- The process described, where the organism undergoes gradual changes over time through multiple stages, is classified as **gradual metamorphosis**.

7. **Elimination of Other Options**:
- **No Metamorphosis**: Incorrect, as there is a clear developmental process.
- **Complete Metamorphosis**: Incorrect, as this involves distinct larval and pupal stages, which cockroaches do not have.
- **Anamorphosis**: Incorrect, as this term refers to a type of growth not applicable to cockroaches.

8. **Conclusion**:
- The correct answer is **(b) Gradual metamorphosis**.