Question

in a biprism experiment ,show that d =√d1 d2 using conjugate foci method draw necessary ray diagram ​

Answer 1

Explanation:

In this method

the object and the images distances are interchanged

The lens is moved towards the slit and its position is L1 is so adjusted that two images A1 and B1 are formed in the focal plane of the eye piece.

thus

$\frac{\text{size of the image }}{\text{size of the object}}= \frac{\text{distance of the image }}{\text{distance of the object}}\\\\\frac{d_1}{d}=\frac{y}{x}..(1)$

The lens is moved towards the eyepiece and its position is L2 is so adjusted that two  diminished images A2 and B2 are formed in the focal plane of the eye piece.

thus

$\frac{d_2}{d}=\frac{x}{y}..(2)$

multiply 1 and 2 we get

$d^2 = d_1\times d_2\\\\d = \sqrt{d_1d_2}$

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