Question #177155

A parallel beam of light falls normally on one phase of a small angled glass prism. Part of the beam

is refracted at the second phase and is deviated through an angle of 1.8o

. Another part is reflected

at the second phase and emerges at the first making an angle of 9.2o

with the normal. Calculate:

(i) The refractive index of the glass.

(ii) The angle of the prism.


1
Expert's answer
2021-04-01T18:41:41-0400

Answer

We know according to optics when A parallel beam of light falls normally on one phase of a small angled glass.

So we can write

Δ=θ(n1)\Delta=\theta(n-1) ----(1)

where Δ\Delta is the deviation angle, θ is angle of the prism, n is the refractive index of the glass of given data.

According to condition, we have

i1=0i_1=0 °

r1i1=1.8°r_1-i_1=1.8°

i2r2=9.2°i_2-r_2=9.2°

So we have

r2=r1=1.8°


The deviation angle is equal to

δ=9.2+1.8=11°δ=9.2+1.8=11°


According to Snellus's law, we get


sini2sinr2=n(2)\frac {\sin {i_2}}{\sin {r_2}}=n----- (2)

Using (1) we get


n=1.96


Using (1), we get as

11.46



(So The refractive index of the glass is equal to 1.96.

And also he angle of the prism is equal to 11.46





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