A rectangular tank of depth 8 meter is full of water `(mu=4//3)`, the bottom is seen at the depth

Options

A. 6 m
B. 8/3 m
C. 8 cm
D. 10 cm

Answer

To solve the problem of finding the apparent depth of the bottom of a rectangular tank filled with water, we will use the formula for apparent depth based on the refractive index.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Real depth of the tank (D_real) = 8 meters
- Refractive index of water (μ) = 4/3

2. **Understand the Relationship Between Real Depth and Apparent Depth:**
The apparent depth (D_apparent) can be calculated using the formula:
\[ D_{apparent} = \frac{D_{real}}{\mu} \]

3. **Substitute the Known Values into the Formula:**
\[ D_{apparent} = \frac{8 \text{ meters}}{\frac{4}{3}} \]

4. **Simplify the Calculation:**
To divide by a fraction, multiply by its reciprocal:
\[ D_{apparent} = 8 \text{ meters} \times \frac{3}{4} \]

5. **Perform the Multiplication:**
\[ D_{apparent} = \frac{8 \times 3}{4} = \frac{24}{4} = 6 \text{ meters} \]

6. **Conclusion:**
The bottom of the tank appears to be at a depth of 6 meters when viewed from above.

### Final Answer:
The bottom of the tank is seen at a depth of **6 meters**.

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