AIM
To determine the angle of emergence i' for varours angle of incidence i and to draw the i-i' curve.
APPARATUS
Spectrometer, equilateral prism, sodium light etc.
THEORY
The graph connecting the angles i and i' is shown in fig(1). The bisector, meets the curve at P. At the point P, i and i' are equal.
OB = OC = i
The angle of deviation s is given by
(1)
Where A is teh angle of the prism.
When i =i' , the deviation is minimum (D).
Hence,
(2)
Therefore,
(3)
The regractive index of the prism,
(4)
Therefore,
(5)

Where θ2 is difference between the reflected ray and direct ray.
Spectrometer i-i' curve
A graph is drawn with angle of incidence i along X-axis and the angle of emergence i' along Y-axis. The graph is a rectangular parabola. from it, angle of incidence corresponding to minimum deviation is calculated.

Fig: 1