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Q. Two light emitting sources of wavelength 500 nm are separated by a distance 2.2 x $ {{10}^{2}} $ cm. A detector can be moved on the line $ {{S}_{1}}{{S}_{2}} $ is perpendicular to $ {{S}_{1}}{{S}_{2}} $ as shown in figure below.
The minimum and maximum path difference at the detector as it is moved along the line $ {{S}_{1}}P $ are (respectively)Physics Question Image

VMMC MedicalVMMC Medical 2015

Solution:

The path difference is maximum when the detector is just at the position of $ {{S}_{1}} $ and its value is equal to $ 2.2\times {{10}^{-2}}, $ i.e. the separation between the sources. The path difference is minimum when the detector is at a large distance from $ {{S}_{1}}. $ In this case path difference is close to zero.