11. A thin film with index of refraction ne separates two materials, each of which has an index of refraction less than nf. A monochromatic beam of light is incident normally on the film, as shown above. If the light has wavelength within the film, maximum constructive interference between the incident beam and the reflected beam occurs for which of the following film thicknesses? a. 32 b. 22 c. λ d. λ/2 e. λ/4 12. A stationary object explodes, breaking into three pieces of masses m, m, and 3m. The two pieces of mass m move off at right angles to each other with the same magnitude of momentum mV, as shown in the diagram above. What are the magnitude and direction of the velocity of the piece having mass 3m? Direction Magnitude b. a. √2 C. > >I$ Ê|- |- d. V V √2 √2V 3 √2V Thin film 3 Light mV n₁

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Chapter27: Wave Optics
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Problem 38P
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11. A thin film with index of refraction ne separates two
materials, each of which has an index of refraction less than
nf. A monochromatic beam of light is incident normally on
the film, as shown above. If the light has wavelength
within the film, maximum constructive interference
between the incident beam and the reflected beam occurs
for which of the following film thicknesses?
a. 32
b. 22
c. λ
d. λ/2
e. λ/4
12. A stationary object explodes, breaking into three pieces of masses m, m, and
3m. The two pieces of mass m move off at right angles to each other with the
same magnitude of momentum mV, as shown in the diagram above. What are
the magnitude and direction of the velocity of the piece having mass 3m?
Direction
Magnitude
b.
a. √2
C.
> >I$ Ê|- |-
d.
V
V
√2
√2V
3
√2V
Thin film
3
Light
mV
n₁ <nf
nf
n₂ <nf
mV
Transcribed Image Text:11. A thin film with index of refraction ne separates two materials, each of which has an index of refraction less than nf. A monochromatic beam of light is incident normally on the film, as shown above. If the light has wavelength within the film, maximum constructive interference between the incident beam and the reflected beam occurs for which of the following film thicknesses? a. 32 b. 22 c. λ d. λ/2 e. λ/4 12. A stationary object explodes, breaking into three pieces of masses m, m, and 3m. The two pieces of mass m move off at right angles to each other with the same magnitude of momentum mV, as shown in the diagram above. What are the magnitude and direction of the velocity of the piece having mass 3m? Direction Magnitude b. a. √2 C. > >I$ Ê|- |- d. V V √2 √2V 3 √2V Thin film 3 Light mV n₁ <nf nf n₂ <nf mV
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