A $45^\circ - 45^\circ - 90^\circ$ prism is immersed in alcohol $(n = 1.45)$

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$45^\circ - 45^\circ - 90^\circ$ prism is immersed in alcohol

$(n = 1.45)$

written 8.1 years ago by

teamques10 ★ 69k

• modified 4.4 years ago

optical fiber communication

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written 8.1 years ago by

teamques10 ★ 69k

Given: $θ_c= 45° \\ n_1 = 1.45$

To find: refractive index $n_2$

Solution:

$θ_c= \sin^{-1} \dfrac {n_2}{n_1} \\ \sin^{-1} \dfrac { n_2}{n_1} = 45° \\ \dfrac {n_2}{n_1} = \sin 45 = 0.707 \\ n_2 = 1.45 * 0.707 \\ = 1.025$

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$n_2=$ Minimum refractive index $= 1.025$

Minimum refractive index $(n_2)= 1.025$

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