Snell's Law and Wavelength Change in Optics

1. 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.

2. 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.

3. 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.

4. 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.

5. 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).

6. 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.

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9. 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.

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

True

False

Larger n implies smaller v.

Explanation

Larger n implies smaller v.

11. 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.

12. 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.

13. 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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15. From the previous question, θ_2 is closest to:

30°

49°

60°

75°

sin49°≈0.75.

Explanation

sin49°≈0.75.

16. 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.

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.

18. 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.

19. 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.

20. 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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Snell's Law and Wavelength Change Quiz

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

2.

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

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

3. Snell's law is:

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

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

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

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

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

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

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

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

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

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

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

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

16. Which statement is correct?

17. If θ_1=0°, then θ_2 is:

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

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

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