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a block of unknown material is submerged in water. light in the water is incident on the block at an angle of 31°. the angle of refraction in the block is 27°. what is the index of refraction of the unknown material?: * a. 0.67 b. 1.2 c. 1.3 d. 1.5

Sagot :

The unknown material is glass because the refractive index is found out to be 1.5

Calculation and step-by step process

[tex]u_{water\\}[/tex]= 1.33

[tex]u_{x}[/tex]=?

[tex]u_{1}[/tex]sini=[tex]u_{2}[/tex]sin27°

[tex]u_{2}[/tex] = 1.33 x [tex]\frac{sin31}{sin27}[/tex]

= 1.33 x (0.51/0.45)

= 1.50

so, deducing from it, we have refractive index = 1.50

Hence the unknown material is glass.

What is index of refraction?

The refractive index (or refraction index) of an optical media in optics is a dimensionless quantity that indicates the capacity of that medium to bend light. The refractive index controls how much light is refracted or twisted when it enters a substance.

The angle of incidence and angle of refraction of a ray as it crosses the interface between two media with refractive indices of n1 and n2 are, respectively, n1 sin 1 and n2 sin 2, which describes this.

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