Explain the experimental deterimental of material of the prism using spectrometer. Determination of refractive index of material of the prism.

Explanation

The preliminary adjustments of the telescope, colimator and the prism table of the sepectometer are made. The refractive index of the prism can be determined by knowing the angle of the prism and the angle of minimum devition.
(i) Angle of the prism (A)
The prism is placed on the prism table with its refracting edge facing the colimator. The slit is illuminated by a sodium light (monochromotic light). The parallel rays coming from the colimator fall on the two faces AB and AC. The telescope is rotated to the position `T_(1)` unlit the image of the slit formed by the reflection at the face AB is made to coincide with the vertical cross wire of the telescope.

The readings of the vermiers are noted. The telescope is then rotated to the position ` T_(2)` where the image of the slit formed by the reflection at the face AC coinides with the vertical cross wire. The readings are again noted.
(ii) Angle of minimum deviation (D)
The prism is placed on the prism table so that the light from the colimator falls on a refracting face, and the refracted image a observed through the telescope. The prism table is now rotated so that angle of deviaton decreases. A stage comes when the image stops for a moment and if we rotate the prism table further in the same direction, the image is seen to reede and the angle of deviation increases. The vertical cross wire of the telescope is made to coincide with the image of the slit where it turns back. This gives the minimum deviation position.

The readings of the verniers are noted. Now, the prism is removed and teh telescope is turned to receive the direct ray and the vertical cross wire is made to coinside with the image. The readings of the verniers are noted. The difference between the two readings gives the angle of minimum deviation D. The refractive index of the material of the prism n is calculated using the formula.
`n=(sin(A+d)/(2))/(sin((A)/(2)))`
The refractive index of a liquid may be determined in the same way using a hollow glass prism filled with the given liquid.