Human egg has volume larger than human sperm by

Options

A. `100,000`
B. `10,000`
C. `1000`
D. `100`

Answer

To solve the question "Human egg has volume larger than human sperm by:", we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Gametes**:
- Recognize that the human egg (ovum) is the female gamete and the sperm is the male gamete. They are different in size and function.

2. **Identify the Sizes**:
- The size of the human ovum is approximately 2 cm (which is equivalent to 20,000 micrometers).
- The size of the human sperm is approximately 0.05 mm (which is equivalent to 50 micrometers).

3. **Calculate the Volume Ratio**:
- To find out how many times larger the egg is compared to the sperm, we need to compare their volumes.
- Since volume is proportional to the cube of the diameter for spherical shapes, we can use the sizes directly for a rough estimate.
- The volume ratio can be approximated by dividing the volume of the egg by the volume of the sperm.

4. **Perform the Calculation**:
- Volume of the egg (approximated) = (20,000 micrometers)^3
- Volume of the sperm (approximated) = (50 micrometers)^3
- Volume ratio = (20,000^3) / (50^3)

5. **Simplify the Ratio**:
- Calculate the values:
- 20,000^3 = 8 x 10^12
- 50^3 = 125,000
- Now, divide:
- 8 x 10^12 / 125,000 = 64,000
- This shows that the egg is approximately 64,000 times larger than the sperm.

6. **Final Comparison**:
- The question options are:
a. 1 lakh times
b. 10,000 times
c. 1000 times
d. 100 times
- Since 64,000 is close to 1 lakh (100,000), we can conclude that the human egg has a volume larger than the human sperm by approximately 1 lakh times.

### Conclusion:
- The correct answer is **option A: 1 lakh times**.