When an object of height '`h_0`' is placed in front of a pinhole camera, an image of height `'h_i'` is formed. If the object is placed at a distance 'u' from the pinhole camera, arrange the following steps to determine the width of the camera in proper sequence.
(A) Determine the magnification (m). (B) Note the value of `h_0` and `h_i` (C) Determine the image distance (v). (D) Substitute the value of 'm' and 'u' in m =`v/u` where u is the object distance. (E) Take the value of 'v' as the width of the camera.

Options

A. BDACE
B. BADCE
C. ECDBA
D. ABCDE

Explanation

To determine the width of a pinhole camera when an object of height \( h_0 \) is placed in front of it, and an image of height \( h_i \) is formed at a distance \( u \) from the camera, we can follow these steps in the correct sequence:

### Step-by-Step Solution:

1. **Note the values of \( h_0 \) and \( h_i \)**:
- This is the first step where we gather the necessary information about the object height \( h_0 \) and the image height \( h_i \).

2. **Determine the magnification (m)**:
- The magnification \( m \) can be calculated using the formula:
\[ m = \frac{h_i}{h_0} \]
- This step helps us understand how the size of the image compares to the size of the object.

3. **Substitute the value of \( m \) and \( u \) in the magnification formula**:
- The magnification can also be expressed in terms of distances:
\[ m = \frac{v}{u} \]
- Here, \( v \) is the image distance (which we want to find), and \( u \) is the object distance. We can rearrange this to find \( v \):
\[ v = m \cdot u \]

4. **Determine the image distance (v)**:
- Now that we have \( m \) from step 2, we can substitute it into the equation from step 3 to find \( v \):
\[ v = \left(\frac{h_i}{h_0}\right) \cdot u \]

5. **Take the value of \( v \) as the width of the camera**:
- Finally, we can conclude that the width of the camera is equal to the image distance \( v \).

### Final Sequence:
The correct order of steps is:
- (B) Note the value of \( h_0 \) and \( h_i \)
- (A) Determine the magnification (m)
- (D) Substitute the value of \( m \) and \( u \) in \( m = \frac{v}{u} \)
- (C) Determine the image distance (v)
- (E) Take the value of \( v \) as the width of the camera