When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is

Options

A. (a)Polarised
B. (b)Of longer wavelength
C. (c)Of shorter wavelength
D. (d)Of high intensity

Answer

To solve the question regarding the conditions under which the maximum accuracy is achieved when using a beam of light to determine the position of an object, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Resolving Power**:
The resolving power (R) of an optical instrument is a measure of its ability to distinguish between two closely spaced objects. It is defined as the minimum angular separation that can be resolved.

2. **Relationship with Wavelength**:
The resolving power is inversely proportional to the wavelength (λ) of the light used. This means that:
\[ R \propto \frac{1}{\lambda} \]
Therefore, as the wavelength decreases, the resolving power increases.

3. **Implication for Accuracy**:
Higher resolving power implies better accuracy in determining the position of an object. Thus, to achieve maximum accuracy, we need to use light with a shorter wavelength.

4. **Conclusion**:
Since shorter wavelengths lead to higher resolving power and, consequently, greater accuracy in determining the position of an object, we conclude that the beam of light should be of shorter wavelength.

5. **Final Answer**:
The maximum accuracy is achieved if the light is of **shorter wavelength**.