Mathematics: The index of refraction of quartz is anisotropic. Suppose that visible light is passing from one grain to another of different crystallographic orientation and at normal incidence to the grain boundary. Calculate the reflectivity at the boundary if the indices of refraction for the two grains are 1.544 and 1.553.

The index of refraction of quartz is anisotropic. - id5502108, sierralynnbaldp16d4b

milkshakegrande101

21.01.2022

The reflectivity at the boundary of the two grains is 2.9 × ${10}^{-3}$

Step-by-step explanation:

Given :

Refractive index of one grains ( $n_{1}$ ) = 1.553

Refractive index of second grains ( $n_{2}$ ) = 1.544

According to the fresnel equation,

∴ general equation of refraction ( reflectivity ) $r = \frac{ n_{1} cos\alpha _{i} - n_{2}cos_{t} }{ n_{1} cos\alpha _{i} + n_{2}cos_{t} }$

where $cos\alpha _{i}$ = incident angle, $cos\alpha _{t}$ = transmitted angle

but for normal incidence $\alpha = 0$ °

so our equation become,

⇒ $r = \frac{n_{1} - n_{2} }{n_{1} + n_{2}}$

$r = \frac{1.553 - 1.544}{1.553 + 1.544}$

$r = \frac{0.009}{3.097}$

r = 2.9 × $10^{-3}$

Therefor reflectivity at the boundary is given by r = 2.9 × $10^{-3}$ .

0,0(0 оценок)

DESTROYERMODE2308

02.12.2022

S = 380 - 380*80%

Step-by-step explanation:

Given:

The original price of the desk: $380 Discount: 20%

So, the new price of the desk after discounting is:

380(100% - 20%)

= 380*80%

= 304$

The amount of money saved: 380 - 304 = 76$

Hence, the equation can be used to determine the amount of money saved is:

Saving = 380 - 380*80%

Hope it will find you well.

0,0(0 оценок)