Snell's Law and Wavelength Change in Optics

1. Snell's law is:

N=c/v

V=fλ

N_1 sinθ_1=n_2 sinθ_2

E=mc^2

It relates incident and refracted angles through refractive indices.

Explanation

It relates incident and refracted angles through refractive indices.

2. If n_2>n_1, then θ_2<θ_1 (for nonzero angles).

True

False

Bending toward the normal means a smaller refracted angle.

Explanation

Bending toward the normal means a smaller refracted angle.

3. Light goes from air (n=1.00) into water (n=1.33) at θ_1=30°. sinθ_2=(1/1.33)sin30°:

0.75

0.50

0.38

0.12

sin30°=0.5. 0.5/1.33≈0.376, which rounds to about 0.38.

Explanation

sin30°=0.5. 0.5/1.33≈0.376, which rounds to about 0.38.

4. From the previous question, θ_2 is closest to:

30°

22°

45°

60°

sin22°≈0.375, matching the value from the previous question.

Explanation

sin22°≈0.375, matching the value from the previous question.

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6. When light enters a higher refractive index medium, its speed decreases.

True

False

Larger n implies smaller v.

Explanation

Larger n implies smaller v.

7. If light travels at 2.0×10^8 m/s in a material, its refractive index is:

1.25

1.50

2.00

0.67

n=c/v≈3.0/2.0=1.5.

Explanation

n=c/v≈3.0/2.0=1.5.

8. The frequency of light changes when it crosses into a new medium.

True

False

Frequency stays constant; wavelength changes.

Explanation

Frequency stays constant; wavelength changes.

9. If frequency stays constant and speed decreases, wavelength:

Increases

Decreases

Stays the same

Becomes negative

v=fλ. If f is constant and v decreases, then λ must decrease too.

Explanation

v=fλ. If f is constant and v decreases, then λ must decrease too.

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11. Light goes from glass (n=1.50) to air (n=1.00) at θ_1=30°. sinθ_2=(1.50/1.00)sin30°:

0.25

0.50

0.75

1.50

1.5×0.5=0.75.

Explanation

1.5×0.5=0.75.

12. From the previous question, θ_2 is closest to:

30°

49°

60°

75°

sin49°≈0.75.

Explanation

sin49°≈0.75.

13. A ray can both refract and reflect at the boundary.

True

False

Some light is transmitted, some reflected.

Explanation

Some light is transmitted, some reflected.

14. Which quantities can change when light enters a new medium?

Speed

Wavelength

Frequency

Direction

Speed, wavelength, and often direction change; frequency stays the same.

Explanation

Speed, wavelength, and often direction change; frequency stays the same.

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15. Which statement is correct?

Higher n means faster light

Higher n means slower light

N has units of meters

N=0 in vacuum

n=c/v. If n increases, v must decrease.

Explanation

n=c/v. If n increases, v must decrease.

16. Snell's law helps predict the refracted angle if you know n_1, n_2, θ_1.

True

False

That's its purpose.

Explanation

That's its purpose.

17. If θ_1=0°, then θ_2 is:

90°

45°

0°

Cannot be determined

Along the normal, no bending.

Explanation

Along the normal, no bending.

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19. Snell's law applies only to light, not other waves.

True

False

Similar refraction principles apply for many waves (speed change → bending).

Explanation

Similar refraction principles apply for many waves (speed change → bending).

20. Best grade 10 takeaway: refraction is quantified using:

Newton's laws

Snell's law and refractive index

Ohm's law

Hooke's law

Those are core optics tools for refraction.

Explanation

Those are core optics tools for refraction.

Snell's Law and Wavelength Change Quiz

1. Snell's law is:

2.

What first name or nickname would you like us to use?

2. If n_2>n_1, then θ_2<θ_1 (for nonzero angles).

3. Light goes from air (n=1.00) into water (n=1.33) at θ_1=30°. sinθ_2=(1/1.33)sin30°:

4. From the previous question, θ_2 is closest to:

5. Refractive index can be defined as n=___/v.

6. When light enters a higher refractive index medium, its speed decreases.

7. If light travels at 2.0×10^8 m/s in a material, its refractive index is:

8. The frequency of light changes when it crosses into a new medium.

9. If frequency stays constant and speed decreases, wavelength:

10. For a fixed medium, v=fλ. If f increases, λ must ______.

11. Light goes from glass (n=1.50) to air (n=1.00) at θ_1=30°. sinθ_2=(1.50/1.00)sin30°:

12. From the previous question, θ_2 is closest to:

13. A ray can both refract and reflect at the boundary.

14. Which quantities can change when light enters a new medium?

15. Which statement is correct?

16. Snell's law helps predict the refracted angle if you know n_1, n_2, θ_1.

17. If θ_1=0°, then θ_2 is:

18. The refracted angle is measured between the refracted ray and the ______.

19. Snell's law applies only to light, not other waves.

20. Best grade 10 takeaway: refraction is quantified using: