I'm stuck on my physics homework, please help!

Question

1. The frequency of light coming out from a laser source is 368 MHz. What is the wavelength corresponding to the light in meter provided that the speed of light inside the medium is 1.8 x10^8 m/s? Round your answer to 2 decimal points.

 

2. Calculate the energy in eV corresponding to the 691 nm of light inside a medium with refractive index 1.5. Round your answer to 2 decimal points.

 

3. If the speed of light in a medium is 2 × 10^8 m/s, the medium's index of refraction is

 

4. The index of refraction of a substance is 1.7. What percentage of the speed of light in vacuum is the speed of light in the substance? Round your answer to 0 decimal place.

 

5. A light ray in air is incident on an unknown substance with an incidence angle of 39 degrees. If the light ray is refracted at an angle 20 degrees in the substance, what is the index of refraction of the substance? Round your answer to 1 decimal place.

 

6. Light traveling in glass (n=1.5) is incident on an air/glass interface at an incident angle of 32 degrees. If the refracted angle is 24 degrees, what is the index of refraction of the glass? Round your answer to 0 decimal place.

 

7. Light is incident on a piece of glass in air at an angle of 31 degrees from the normal. If the index of refraction of the glass is 1.5, what is the angle in degrees that the refracted ray makes with the normal?

Answer 1

1. wave length = speed/ frequency = 1.8x10⁸ / 368x10⁶ = 4.89 m

 

2. Enery = Plank cont x fequency (in J)  frequency in this case is 2.8x10¹⁴   ( frequecy in medium =3x10⁸ /1.5x691x

10 ^-9) = 

frequency in medium = 2.89x 10 ¹⁴ Hz Finding energy in J and then dividing it by 1.6x 10¹⁹ to convert in eV

 

 

(6.62x10^-34x2.89 x10¹⁴)/1.6x10-19 eV   

 

3.Index = 3x 10 ⁸/ 2x 10 ⁸  =1.5 where 3x10 ⁸ is speed in vacuum

 

4.Index Speed in medium 1 / Speed in medium 2

 

 Change in speed x100/ speed in 1= Ans

 

0.7x100/1.7 = 41.17 %

 

5.Index = Sin 39/ Sin 20 = 0.629/0.342 = 1.84 approx      

 

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