Refraction

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AP Physics 2 › Refraction

Questions 1 - 10
1

A ray of light travels in air and enters water at an incident angle of $50^\circ$ to the normal. Water has the higher refractive index ($n_{\text{water}} > n_{\text{air}}$). Neglecting reflection, which way does the transmitted ray bend in the water?

Toward the normal, because the speed decreases in water

Toward the normal, because the frequency increases in water

Away from the normal, because the frequency decreases in water

Away from the normal, because the speed decreases in water

Explanation

This question tests understanding of refraction. When light travels from air (lower refractive index) to water (higher refractive index), the light speed decreases because v = c/n, where water's higher n means lower speed. At the air-water boundary, the wave component parallel to the interface must remain continuous, but the overall speed reduction causes the ray to bend toward the normal. This behavior is described by Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where water's larger n₂ requires a smaller refraction angle θ₂. Choice C incorrectly suggests frequency increases, but frequency is determined by the source and never changes during refraction. The fundamental rule is: waves bend toward the normal when they slow down (entering a denser medium).

2

Light travels from a plastic with $n=1.49$ into air at an incident angle of $30^\circ$ to the normal. The plastic has the higher refractive index ($n_{\text{plastic}} > n_{\text{air}}$). Which describes how the ray refracts into air?

Toward the normal, because the frequency increases in air

Toward the normal, because the speed increases in air

Away from the normal, because the speed increases in air

Away from the normal, because the frequency decreases in air

Explanation

This question tests understanding of refraction. When light travels from plastic (n = 1.49) to air (n ≈ 1.0), the light speed increases because v = c/n, where air's lower n means higher speed. At the plastic-air boundary, maintaining continuity of the parallel wave component while the overall speed increases causes the ray to bend away from the normal. This follows Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where air's smaller n₂ requires a larger angle θ₂ from the normal. Choice D incorrectly claims frequency decreases, but frequency remains constant across material boundaries—only speed and wavelength change. Remember: when light speeds up (entering a less dense medium), it always bends away from the normal.

3

A monochromatic light ray travels in water and enters a layer of mineral oil at $30^\circ$ to the normal. Water has the higher refractive index ($n_{\text{water}} > n_{\text{oil}}$). As the ray enters the oil, which way does it bend?

Toward the normal, because the speed increases in oil

Toward the normal, because the frequency decreases in oil

Away from the normal, because the frequency increases in oil

Away from the normal, because the speed increases in oil

Explanation

This question tests understanding of refraction. When light travels from water (higher refractive index) to mineral oil (lower refractive index), the light speed increases because v = c/n, where oil's lower n means higher speed. At the water-oil boundary, the parallel component of the wave maintains continuity, but the overall speed increase causes the ray to bend away from the normal. This follows Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where oil's smaller n₂ results in a larger angle θ₂ from the normal. Choice C incorrectly claims frequency increases, but frequency is determined by the source and remains constant during refraction. The transferable principle is: when light speeds up (entering a less dense medium), it always bends away from the normal.

4

Light travels from glass into glycerin at an incident angle of $40^\circ$ to the normal. Glass has the higher refractive index ($n_{\text{glass}} > n_{\text{glycerin}}$). The ray crosses the boundary into glycerin. Which way does the ray bend upon entering glycerin?

Away from the normal, because the frequency decreases in glycerin

Toward the normal, because the speed decreases in glycerin

Away from the normal, because the speed increases in glycerin

Toward the normal, because the frequency increases in glycerin

Explanation

This question tests understanding of refraction. When light travels from glass (higher refractive index) to glycerin (lower refractive index), the light speed increases because v = c/n, where a lower n means higher speed. At the boundary, the wave component parallel to the interface maintains its speed, but the overall wave speed increase causes the ray to bend away from the normal. This behavior follows Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where the smaller n₂ results in a larger refraction angle θ₂. Choice D incorrectly suggests frequency changes, but frequency remains constant across material boundaries—only speed and wavelength change with the medium. Remember: when light speeds up (entering a less dense medium), it bends away from the normal.

5

A laser beam travels in water and reaches a water–air boundary at $20^\circ$ to the normal. Water has the higher refractive index ($n_{\text{water}} > n_{\text{air}}$). The beam refracts into air. Compared to the incident ray, which way does the refracted ray bend?

Toward the normal, because the speed increases in air

Away from the normal, because the speed increases in air

Toward the normal, because the frequency decreases in air

Away from the normal, because the frequency increases in air

Explanation

This question tests understanding of refraction. When light travels from a medium with higher refractive index (water) to one with lower refractive index (air), the light speed increases because v = c/n. As the wave crosses the boundary, the parallel component of velocity must remain continuous, but since the overall speed increases in air, the wave must bend away from the normal to accommodate this speed change. This follows from Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where the smaller n₂ (air) requires a larger θ₂ (angle from normal). Choice C incorrectly claims frequency changes, but frequency is determined by the source and remains constant during refraction. The transferable principle is: when light enters a medium with lower refractive index (faster speed), it always bends away from the normal.

6

Light passes from diamond into air at $15^\circ$ to the normal. Diamond has the higher refractive index ($n_{\text{diamond}} > n_{\text{air}}$). The ray refracts into air. Compared to the incident ray, which describes the bending?

Away from the normal, because the frequency decreases in air

Toward the normal, because the frequency increases in air

Toward the normal, because the speed increases in air

Away from the normal, because the speed increases in air

Explanation

This question tests understanding of refraction. When light travels from diamond (higher refractive index) to air (lower refractive index), the light speed increases since v = c/n and air has a much smaller n. At the boundary, maintaining continuity of the parallel wave component while the overall speed increases causes the ray to bend away from the normal. This follows from Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where air's smaller n₂ requires a larger angle θ₂ from the normal. Choice D incorrectly claims frequency decreases, but frequency remains constant across boundaries—it's determined by the source, not the medium. The key strategy is: when light speeds up (entering a less dense medium), it always bends away from the normal.

7

A light ray in ethanol strikes an ethanol–glass interface at $25^\circ$ to the normal. Glass has the higher refractive index ($n_{\text{glass}} > n_{\text{ethanol}}$). The ray enters the glass. Compared to the incident ray, how does the refracted ray bend?

Away from the normal, because the frequency increases in glass

Toward the normal, because the speed decreases in glass

Toward the normal, because the speed increases in glass

Away from the normal, because the speed decreases in glass

Explanation

This question tests understanding of refraction. When light travels from ethanol (lower refractive index) to glass (higher refractive index), the light speed decreases since v = c/n and glass has a larger n. At the boundary, the wave's parallel component maintains continuity, but the overall speed decrease causes the ray to bend toward the normal. This follows Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where the larger n₂ (glass) requires a smaller angle θ₂ from the normal. Choice D incorrectly claims frequency changes, but frequency is an intrinsic property of the light source and remains constant during refraction. The key principle is: when light slows down (entering a denser medium), it always bends toward the normal.

8

A ray of light in air enters a liquid with $n=1.60$ at $45^\circ$ to the normal. The liquid has the higher refractive index ($n_{\text{liquid}} > n_{\text{air}}$). Compared to the incident ray, how does the transmitted ray bend?

Away from the normal, because the speed decreases in the liquid

Toward the normal, because the speed decreases in the liquid

Toward the normal, because the frequency increases in the liquid

Away from the normal, because the frequency decreases in the liquid

Explanation

This question tests understanding of refraction. When light travels from air (n ≈ 1.0) to a liquid with n = 1.60, the light speed decreases significantly because v = c/n. At the air-liquid boundary, the wave's parallel component must maintain continuity, but the overall speed reduction causes the ray to bend toward the normal. This is quantified by Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where the liquid's larger n₂ = 1.60 requires a much smaller refraction angle θ₂. Choice C incorrectly suggests frequency increases, but frequency is an intrinsic property of the light source that never changes during refraction. The key strategy is: waves bend toward the normal when they slow down (entering a denser medium).

9

A light ray travels from air into crown glass at $10^\circ$ to the normal. Crown glass has the higher refractive index ($n_{\text{glass}} > n_{\text{air}}$). Which statement correctly describes the ray’s bending at the boundary?

Toward the normal, because the frequency decreases in glass

Toward the normal, because the speed decreases in glass

Away from the normal, because the speed decreases in glass

Away from the normal, because the frequency increases in glass

Explanation

This question tests understanding of refraction. When light travels from air (lower refractive index) to crown glass (higher refractive index), the light speed decreases because v = c/n, where glass's higher n results in lower speed. At the air-glass boundary, the wave's parallel component maintains continuity, but the overall speed reduction causes the ray to bend toward the normal. This is described by Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where glass's larger n₂ requires a smaller refraction angle θ₂. Choice C incorrectly suggests frequency increases, but frequency is an invariant property during refraction—only wavelength and speed change with the medium. Remember: waves bend toward the normal when they slow down (entering a denser medium).

10

A narrow light ray in air strikes a flat acrylic slab at an incident angle of $35^\circ$ to the normal. Acrylic has a higher refractive index than air ($n_{\text{acrylic}} > n_{\text{air}}$). The ray crosses the boundary into the acrylic without reflection effects considered. Which way does the ray bend as it enters the acrylic?

Toward the normal, because the speed decreases in acrylic

Away from the normal, because the speed decreases in acrylic

Toward the normal, because the frequency decreases in acrylic

Away from the normal, because the frequency increases in acrylic

Explanation

This question tests understanding of refraction. When light travels from a medium with lower refractive index (air) to one with higher refractive index (acrylic), the light speed decreases because v = c/n, where n is the refractive index. At the boundary, the component of the wave parallel to the interface must maintain the same speed, but since the overall wave speed decreases, the perpendicular component must decrease more, causing the ray to bend toward the normal. This bending toward the normal when entering a denser medium follows Snell's law: n₁sin(θ₁) = n₂sin(θ₂), where the larger n₂ requires a smaller θ₂. Choice C incorrectly suggests frequency changes, but frequency remains constant across boundaries—only wavelength and speed change. The key strategy is: when light enters a medium with higher refractive index (slower speed), it always bends toward the normal.

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