If the magnification of a body of size 1 m is 2, what is the size of the image ?

Options

A. 1.5 m
B. 2.5 m
C. 2 m
D. 4 m

Explanation

To find the size of the image when the magnification is given, we can use the formula for magnification (M):

\[ M = \frac{\text{Size of Image}}{\text{Size of Object}} \]

Given:
- Size of Object (height of the body) = 1 m
- Magnification (M) = 2

We need to find the Size of Image (height of the image).

**Step 1: Write the magnification formula.**
\[ M = \frac{\text{Size of Image}}{\text{Size of Object}} \]

**Step 2: Substitute the known values into the formula.**
\[ 2 = \frac{\text{Size of Image}}{1 \, \text{m}} \]

**Step 3: Solve for the Size of Image.**
To find the Size of Image, we can rearrange the equation:
\[ \text{Size of Image} = M \times \text{Size of Object} \]
Substituting the values:
\[ \text{Size of Image} = 2 \times 1 \, \text{m} \]

**Step 4: Calculate the Size of Image.**
\[ \text{Size of Image} = 2 \, \text{m} \]

Thus, the size of the image is **2 meters**.