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A ray of light incident at angle 30° to the normal is deviated through an angle of 10.53° in a rectangular glass prism.calculate the refractive index of the glass

Sagot :

BrotherGokuidn

Answer:

1.5

Explanation:

Light Refraction and Snell's Law

When light gets refracted and deviates upon entering a different medium, it will go closer to the normal because of the decceleration in speed. Upon entering a new medium, it moves 10.53* closer to the normal, therefore the angle of refraction is 30-10.53 = 19.47*.

To calculate the refractive index of the glass, you have to use snell's law

[tex]n_1sin\theta_1=n_2sin\theta_2[/tex]

where:

n1 = initial refractive index = 1.00 (air)

n2 = second/new refractive index = x

angle1 = angle of incidence = 30*

angle2 = angle of refraction = 19.47*

Therefore, n2 can be found by dividing each side by sin(O)2

[tex]\frac{n_1sin\theta_1}{sin\theta_2} = n_2[/tex]

[tex]\frac{1.00sin(30)}{sin(19.47)} = n_2[/tex]

[tex]\frac{0.5}{0.33331324756} = n_2[/tex]

[tex]1.5 = n_2[/tex]

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