Which of the following are correct about spherical mirrors

Options

A. concave mirror forms virtual image of real object some times
B. convex mirror forms real image of virtual object some times
C. convex mirror forms real image of virtual object always
D. convex mirror virtual image of real object always

Answer

To determine the correctness of statements regarding spherical mirrors, we will analyze each option step by step.

### Step 1: Understanding Spherical Mirrors
Spherical mirrors can be classified into two types: concave mirrors and convex mirrors. Each type has distinct properties regarding image formation based on the position of the object.

### Step 2: Analyzing the First Statement
**Statement 1:** "Concave mirror forms a virtual image of real objects sometimes."
- When a real object is placed between the focus (F) and the pole (P) of a concave mirror, the image formed is virtual, upright, and enlarged. Therefore, this statement is **correct**.

### Step 3: Analyzing the Second Statement
**Statement 2:** "Convex mirror forms real image of virtual objects sometimes."
- A convex mirror always forms virtual images, regardless of whether the object is real or virtual. It diverges light rays, and the image is formed behind the mirror. Therefore, this statement is **incorrect**.

### Step 4: Analyzing the Third Statement
**Statement 3:** "Convex mirror forms real image of virtual objects always."
- As established, a convex mirror cannot form real images. It only produces virtual images. Thus, this statement is also **incorrect**.

### Step 5: Analyzing the Fourth Statement
**Statement 4:** "Convex mirror forms virtual image of real objects always."
- This statement is true. A convex mirror always forms virtual images of real objects, regardless of the object's position. Therefore, this statement is **correct**.

### Conclusion
From the analysis:
- Statement 1 is **correct**.
- Statement 2 is **incorrect**.
- Statement 3 is **incorrect**.
- Statement 4 is **correct**.

### Final Answer
The correct statements about spherical mirrors are:
1. Concave mirror forms a virtual image of real objects sometimes.
2. Convex mirror forms virtual image of real objects always.