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AP Physics 2 : Snell's Law

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Example Questions

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Example Question #21 : Snell's Law

Light travels from air n=1 to water n=1.33 . If the wavelength of incident light is 470nm , determine the wavelength of refracted light.

Possible Answers:

491nm

353nm

254nm

167nm

187nm

Correct answer:

353nm

Explanation:

Snell's law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use

$\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Solve for $\lambda_2$

$\lambda_2=\frac{n_1}{n_2}\lambda_1$

Plug in values:

$\lambda_2=\frac{1}{1.33}470nm$

$\lambda_2=353nm$

Report an Error

Example Question #22 : Snell's Law

Light travels from air n=1 to water n=1.33 . If the wavelength of incident light is 610nm , determine the wavelength of refracted light.

Possible Answers:

295nm

419nm

389nm

459nm

686nm

Correct answer:

459nm

Explanation:

Snell's law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law:

$\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Solve for $\lambda_2$

$\lambda_2=\frac{n_1}{n_2}\lambda_1$

Plug in values:

$\lambda_2=\frac{1}{1.33}610nm$

$\lambda_2=459nm$

Report an Error

Example Question #23 : Snell's Law

Light travels from a vacuum, n=1 , to a material with n=1.24 . What will be the velocity in the new medium?

Possible Answers:

$2.11*10^8\frac{m}{s}$

$2.65*10^8\frac{m}{s}$

None of these

$2.41*10^8\frac{m}{s}$

$2.04*10^8\frac{m}{s}$

Correct answer:

$2.41*10^8\frac{m}{s}$

Explanation:

Snell's law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law

$\frac{v_1}{v_2}=\frac{n_2}{n_1}$

Solve for v_2 :

$\frac{n_1}{n_2}v_1=v_2$

The velocity of light in a vacuum:

$v_1=c=3.0*10^8\frac{m}{s}$

Plug in values:

$\frac{1}{1.24}3.0*10^8\frac{m}{s}=v_2$

$2.41*10^8\frac{m}{s}=v_2$

Report an Error

Example Question #24 : Snell's Law

Light travels from a vacuum, n=1 , to a material with n=1.74 . What will be the velocity in the new medium?

Possible Answers:

$1.72*10^8\frac{m}{s}$

$1.58*10^8\frac{m}{s}$

$1.92*10^8\frac{m}{s}$

None of these

$1.22*10^8\frac{m}{s}$

Correct answer:

$1.72*10^8\frac{m}{s}$

Explanation:

Snell's Law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law:

$\frac{v_1}{v_2}=\frac{n_2}{n_1}$

Solve for v_2

$\frac{n_1}{n_2}v_1=v_2$

The velocity of light in a vacuum:

$v_1=c=3.0*10^8\frac{m}{s}$

Plug in values:

$\frac{1}{1.74}3.0*10^8\frac{m}{s}=v_2$

$1.72*10^8\frac{m}{s}=v_2$

Report an Error

Example Question #25 : Snell's Law

Light travels from a vacuum, n=1 , to a material with n=1.56 . What will be the velocity in the new medium?

Possible Answers:

$1.92*10^8\frac{m}{s}$

$4.5*10^8\frac{m}{s}$

$3.00*10^8\frac{m}{s}$

None of these

$1.55*10^8\frac{m}{s}$

Correct answer:

$1.92*10^8\frac{m}{s}$

Explanation:

Snell's Law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law:

$\frac{v_1}{v_2}=\frac{n_2}{n_1}$

Solve for v_2

$\frac{n_1}{n_2}v_1=v_2$

The velocity of light in a vacuum,

$v_1=c=3.0*10^8\frac{m}{s}$

Plug in values:

$\frac{1}{1.56}3.0*10^8\frac{m}{s}=v_2$

$1.92*10^8\frac{m}{s}=v_2$

Report an Error

Example Question #26 : Snell's Law

Light travels from water n=1.33 to diamond n=2.42 . If the angle of incidence was $32^\circ$ , determine the angle of refraction.

Possible Answers:

$16.9^\circ$

None of these

$26.2^\circ$

$14.7^\circ$

$6.2^\circ$

Correct answer:

$16.9^\circ$

Explanation:

Snell's law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law

$\frac{sin\theta_1}{sin\theta_2}=\frac{n_2}{n_1}$

Solve for $\theta_2$ :

$sin^{-1}(\frac{n_1 sin\theta_1^\circ}{n_2})=\theta_2$

Plug in values:

$sin^{-1}(\frac{1.33*sin32^\circ}{2.42})=\theta_2$

$16.9^\circ=\theta_2$

Report an Error

Example Question #27 : Snell's Law

Light of wavelength 450nm strikes an interface of transparent materials at and angle of incidence of $35^{\circ}$ . The angle of refraction is $22^{\circ}$ . Determine the wavelength of the light in the new material.

Possible Answers:

565nm

701nm

294nm

212nm

354nm

Correct answer:

294nm

Explanation:

Snell's Law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{\lambda_1}{\lambda_2}$

Plug in values:

$\frac{sin22^\circ}{sin35^\circ}=\frac{\lambda_1}{450nm}$

Solve for $\lambda_1$ :

$294nm=\lambda_1$

Report an Error

Example Question #28 : Snell's Law

Light travels from water n=1.33 to diamond n=2.42 . If the wavelength of incident light was 532nm , determine the wavelength of refracted light.

Possible Answers:

292nm

420nm

390nm

357nm

766nm

Correct answer:

292nm

Explanation:

Snell's Law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law:

$\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Solve for $\lambda_2$ :

$\lambda_2=\frac{n_1}{n_2}\lambda_1$

Plug in values:

$\lambda_2=\frac{1.33}{2.42}532nm$

$\lambda_2=292nm$

Report an Error

Example Question #29 : Snell's Law

Light travels from a vacuum n=1 to a material with n=1.84 . What will be the velocity in the new medium?

Possible Answers:

$1.44*10^8\frac{m}{s}$

$1.63*10^8\frac{m}{s}$

$1.84*10^8\frac{m}{s}$

$1.11*10^8\frac{m}{s}$

$2.22*10^8\frac{m}{s}$

Correct answer:

$1.63*10^8\frac{m}{s}$

Explanation:

Snell's Law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law:

$\frac{v_1}{v_2}=\frac{n_2}{n_1}$

Solve for v_2 :

$\frac{n_1}{n_2}v_1=v_2$

The velocity of light in a vacuum is

$v_1=c=3.0*10^8\frac{m}{s}$

Plug in values:

$\frac{1}{1.84}3.0*10^8\frac{m}{s}=v_2$

$1.63*10^8\frac{m}{s}=v_2$

Report an Error

Example Question #21 : Snell's Law

Light travels from water (n=1.33) to an unknown transparent medium. The angle of incidence is $45^\circ$ . The angle of refraction is $55^{\circ}$ . Determine the speed of light in the new medium.

Possible Answers:

$2.6*10^8\frac{m}{s}$

$8.1*10^8\frac{m}{s}$

$2.3*10^8\frac{m}{s}$

$2.9*10^8\frac{m}{s}$

$1.7*10^8\frac{m}{s}$

Correct answer:

$2.6*10^8\frac{m}{s}$

Explanation:

Snell's Law:

$\frac{sin\theta_1}{sin\theta_2}=\frac{v_1}{v_2}=\frac{\lambda_1}{\lambda_2}=\frac{n_2}{n_1}$

Where

$\theta$ is the respective incident angle

is the respective velocity of the light

$\lambda$ is the respective wavelength

is the respective index of refraction

Snells law for varsity fixed

Use Snell's law:

$\frac{v_3}{v_2}=\frac{n_2}{n_3}$

and

$\frac{sin\theta_1}{sin\theta_2}=\frac{n_2}{n_1}$

Where subscript represents water, subscript represents the unknown medium, and subscript represents vacuum

Plug in values:

$\frac{sin45^\circ}{sin55^\circ}=\frac{n_2}{1.33}$

Solve for n_2 :

n_2=1.15

$\frac{3.0*10^8\frac{m}{s}}{v_2}=\frac{1.15}{1}$

Solve for v_2 :

$v_2=2.6*10^8\frac{m}{s}$

Report an Error

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AP Physics 2 : Snell's Law

Study concepts, example questions & explanations for AP Physics 2

All AP Physics 2 Resources

Example Questions

Example Question #21 : Snell's Law

Example Question #22 : Snell's Law

Example Question #23 : Snell's Law

Example Question #24 : Snell's Law

Example Question #25 : Snell's Law

Example Question #26 : Snell's Law

Example Question #27 : Snell's Law

Example Question #28 : Snell's Law

Example Question #29 : Snell's Law

Example Question #21 : Snell's Law

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