How many images will be formed if two mirrors are fitted on adjacent walls and one mirror on ceiling?

Options

A. 5
B. 7
C. 11
D. 2

Explanation

To determine how many images will be formed when two mirrors are fitted on adjacent walls and one mirror is on the ceiling, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Configuration**: We have two mirrors on adjacent walls and one mirror on the ceiling. This creates a three-mirror system.

2. **Calculate Images from Two Adjacent Mirrors**:
- When two mirrors are placed at an angle of 90 degrees (which is the case with adjacent walls), the formula for the number of images formed is given by:
\[ n = \frac{360}{\theta} - 1 \]
where \( \theta \) is the angle between the two mirrors. Here, \( \theta = 90^\circ \).
- Plugging in the values:
\[ n = \frac{360}{90} - 1 = 4 - 1 = 3 \]
- So, 3 images are formed by the two adjacent mirrors.

3. **Consider the Ceiling Mirror**:
- The ceiling mirror will reflect all the images formed by the two adjacent wall mirrors.
- Each of the 3 images formed by the adjacent mirrors will have a corresponding image formed by the ceiling mirror. Therefore, the ceiling mirror will create:
\[ 3 \text{ (images from adjacent mirrors)} \times 2 = 6 \text{ images} \]
- Additionally, the ceiling mirror will create one more image of the original object itself.

4. **Total Number of Images**:
- Adding the images from the ceiling mirror to the images from the adjacent mirrors:
\[ 6 \text{ (from ceiling)} + 1 \text{ (original object image)} = 7 \text{ total images} \]

### Final Answer:
Thus, the total number of images formed is **7**.

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