The correct relation between limit of resolution and resolving power is

Options

A. limit of resolution `=(1)/("resolving power")`
B. limit of resolution `alpha` resolving power
C. limit of resolution `alpha =(1)/("resolving power")`
D. limit of resolution `alpha` (1- resolving power)

Answer

To solve the question regarding the correct relation between the limit of resolution and resolving power, we can follow these steps:

### Step 1: Understand the Definitions
- **Limit of Resolution (ΔD)**: This is defined as the minimum distance between two point objects that allows them to be distinguished as separate entities. It can be linear or angular.
- **Resolving Power (R)**: This is defined as the ability of an optical system to distinguish between two closely spaced objects. It is mathematically expressed as the reciprocal of the limit of resolution.

### Step 2: Establish the Relationship
From the definitions, we can establish the relationship:
- Resolving Power (R) = 1 / Limit of Resolution (ΔD)

### Step 3: Rearranging the Equation
From the above relationship, we can rearrange it to express the limit of resolution in terms of resolving power:
- Limit of Resolution (ΔD) = 1 / Resolving Power (R)

### Step 4: Conclusion
Thus, we have established that the limit of resolution is inversely proportional to the resolving power. Therefore, the correct relation between the limit of resolution and resolving power is:
- ΔD = 1 / R

### Final Answer
The correct option is **Option A**, which states that the limit of resolution is equal to the reciprocal of the resolving power.

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