In a population of 2000 individuals, 900 individuals are suffering from a recessive autosomal disease and 500 are carriers. The gene frequency of recessive gene is

Options

A. 0.45
B. `60.5%`
C. 0.67
D. 0.5

Answer

To solve the problem of determining the gene frequency of the recessive gene in a population of 2000 individuals, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Population and Affected Individuals**:
- The total population is given as 2000 individuals.
- The number of individuals suffering from the recessive autosomal disease is 900.

2. **Determine the Frequency of the Recessive Phenotype**:
- The frequency of the recessive phenotype (individuals with the disease) can be calculated as:
\[ q^2 = \frac{\text{Number of affected individuals}}{\text{Total population}} = \frac{900}{2000} = 0.45 \]

3. **Calculate the Frequency of the Recessive Allele (q)**:
- To find the frequency of the recessive allele (q), we take the square root of the frequency of the recessive phenotype:
\[ q = \sqrt{q^2} = \sqrt{0.45} \approx 0.67 \]

4. **Conclusion**:
- The gene frequency of the recessive gene (q) is approximately 0.67.

### Final Answer:
The gene frequency of the recessive gene is **0.67**.

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