Which one of the following sperical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams.
`R_(1)!=R_(2)`

Options

A.
B.
C.
D.

Explanation

To determine which spherical lens does not exhibit dispersion, we need to analyze the conditions under which dispersion occurs in lenses.

### Step-by-Step Solution:

1. **Understanding Dispersion**:
Dispersion in optics refers to the phenomenon where different wavelengths of light are refracted by different amounts when passing through a lens. This typically occurs in lenses where the radii of curvature of the two surfaces are different.

2. **Condition for Dispersion**:
The key condition for a lens to exhibit dispersion is that the radii of curvature of its two surfaces must not be equal. Mathematically, this can be expressed as:
- If \( R_1 \neq R_2 \), then dispersion occurs.

3. **Analyzing the Given Lenses**:
We are provided with different lenses, and we need to check the radii of curvature for each:
- For Lens A: \( R_1 \) and \( R_2 \) are different.
- For Lens B: \( R_1 \) and \( R_2 \) are different.
- For Lens C: \( R_1 = R_2 \) (this is the case we are looking for).
- For Lens D: \( R_1 \) and \( R_2 \) are different.

4. **Conclusion**:
Since Lens C is the only lens where \( R_1 \) is equal to \( R_2 \), it does not exhibit dispersion. Therefore, the correct answer is:
- **Lens C does not exhibit dispersion.**

### Final Answer:
The spherical lens that does not exhibit dispersion is **Lens C**.