Two sources `S_1 and S_2` emitting light of wave length 600 nm are placed a distance `1.0x10^-2` cm apart. A detector can be moved on the litre line `S_1P` which is perpendicular to `S_1S_2`. a.What would be the minimum and maximum path differrence at the detector as it is moved alog the line `S_1P`? b. Locate the position of the farthest minimum detect.

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as given in the question.

### Part (a): Minimum and Maximum Path Difference

1. **Understanding the Setup**:
- We have two sources, \( S_1 \) and \( S_2 \), separated by a distance \( d = 1.0 \times 10^{-2} \) cm.
- The wavelength of the light emitted by these sources is \( \lambda = 600 \) nm (which is \( 600 \times 10^{-9} \) m).
- A detector moves along the line \( S_1P \), which is perpendicular to the line \( S_1S_2 \).
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