An atlas of India is drawn by taking scale 10 cm=15000 km. If the actual distance between the cities of Bhopal and cochin is 1500 km, the distance between the two places in the atlas will be_____cm.

Options

A. `10^(2)`
B. `1`
C. 10000
D. 1000

Explanation

To find the distance between Bhopal and Cochin in the atlas, we can use the scale provided in the question. The scale states that 10 cm on the map represents 15,000 km in reality.

### Step-by-step Solution:

1. **Identify the Scale**:
The scale given is 10 cm = 15,000 km.

2. **Determine the Actual Distance**:
The actual distance between Bhopal and Cochin is given as 1500 km.

3. **Set Up a Proportion**:
We can set up a proportion to find out how many centimeters on the map correspond to the 1500 km distance.
\[ \frac{10 \text{ cm}}{15,000 \text{ km}} = \frac{x \text{ cm}}{1500 \text{ km}} \]

4. **Cross-Multiply**:
To solve for \(x\), we cross-multiply:
\[ 10 \text{ cm} \times 1500 \text{ km} = 15,000 \text{ km} \times x \text{ cm} \]
This simplifies to:
\[ 15000 = 15000x \]

5. **Solve for \(x\)**:
Divide both sides by 15,000:
\[ x = \frac{15000}{15000} = 1 \text{ cm} \]

### Final Answer:
The distance between Bhopal and Cochin in the atlas will be **1 cm**.