Assertion :- On the basis of Punnett square, the `F_(2)` generation of dihybrid plant will produce 16 different types of genotypes.
Reason:- In `F_(1)` generatin plant, there are four genotypes of gametes with a frequency of `25%` of total gametes produced.

Options

A. If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
B. If both Assertion & Reason are true but Reason is not a correct explanation of the Assertion.
C. If Assertion is True but the Reason is False.
D. If both Assertion & Reason are false.

Answer

To solve the assertion and reason question, we need to analyze both statements carefully.

### Step 1: Understanding the Assertion
The assertion states that the F2 generation of a dihybrid plant will produce 16 different types of genotypes based on the Punnett square.

- In a dihybrid cross, we consider two traits, each with two alleles. For example, let's consider traits A and B, where A has alleles A (dominant) and a (recessive), and B has alleles B (dominant) and b (recessive).
- When we perform a dihybrid cross (AaBb x AaBb), we can use a Punnett square to determine the possible genotypes in the F2 generation.

### Step 2: Constructing the Punnett Square
- Each parent can produce four types of gametes: AB, Ab, aB, and ab.
- When we cross these gametes, we fill out a 4x4 Punnett square, which results in 16 squares. However, the genotypes produced will not all be unique.

### Step 3: Counting Unique Genotypes
- The unique genotypes from the cross will be:
1. AABB
2. AABb
3. AAbb
4. AaBB
5. AaBb
6. Aabb
7. aaBB
8. aaBb
9. aabb
- Thus, there are actually **9 unique genotypes** in the F2 generation, not 16.

### Step 4: Understanding the Reason
The reason states that in the F1 generation, there are four genotypes of gametes with a frequency of 25% of total gametes produced.

- In the F1 generation of a dihybrid cross, each parent produces four types of gametes (AB, Ab, aB, ab).
- Each type of gamete has an equal chance of being produced, leading to a frequency of 25% for each type.

### Step 5: Evaluating the Assertion and Reason
- The assertion is **false** because the F2 generation produces 9 different genotypes, not 16.
- The reason is **true** as it correctly describes the gamete formation in the F1 generation.

### Conclusion
Both the assertion and reason are not correctly aligned. Thus, the correct option is that the assertion is false, and the reason is true.

### Final Answer
- Assertion: False
- Reason: True