If in a dihybrid cross Mendel had used two such characters which have linked, he would have faced difficulty in explaining the results on the basis of his

Options

A. Law of segregation
B. Law of multiple factor hypothesis
C. Law of independent assortment
D. Law of dominance

Explanation

### Step-by-Step Solution:

1. **Understanding Dihybrid Cross**: Mendel's dihybrid cross involves two traits, each represented by two alleles. For example, consider traits for seed shape (round vs. wrinkled) and seed color (yellow vs. green).

2. **Mendel's Laws of Inheritance**: Mendel proposed several laws to explain inheritance patterns:
- **Law of Segregation**: Each individual has two alleles for each trait, which segregate during gamete formation.
- **Law of Independent Assortment**: Alleles for different traits assort independently of one another during gamete formation.
- **Law of Dominance**: In a heterozygote, one allele may mask the effect of another.

3. **Linkage of Genes**: If the two traits in a dihybrid cross are linked (i.e., located close together on the same chromosome), they do not assort independently. This means that the inheritance of one trait affects the inheritance of the other.

4. **Difficulty in Explanation**: If Mendel had used linked genes in his dihybrid cross, he would have faced difficulty in explaining the results based on:
- **Law of Independent Assortment**: This law states that alleles segregate independently, which would not hold true for linked genes. If two genes are linked, they will be inherited together more frequently than expected under independent assortment.

5. **Conclusion**: Therefore, the law that Mendel would have found difficult to explain with linked characters is the **Law of Independent Assortment**.

### Final Answer:
If Mendel had used two linked characters in a dihybrid cross, he would have faced difficulty in explaining the results based on the **Law of Independent Assortment**.

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