10) Consider the following traveling wave given by the equation: x = (0.3 m) cos(13x - 23t). What is the wavelength of this traveling wave? A. 0.48 m B. 0.41 m C. 0.36 m D. 0.27 m E. 0.19 m

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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10) Consider the following traveling wave given by the equation: x = (0.3 m) cos(13x – 23t).
What is the wavelength of this traveling wave?
A. 0.48 m
B. 0.41 m
C. 0.36 m
D. 0.27 m
E. 0.19 m
11) A coating is being applied to reduce the reflectivity of a pane of glass to light with a
wavelength of 480.5 nm that is incident normally on the pane. If the coating material has an
index of refraction of 1.375 and the glass has an index of refraction of 1.537, what is the
minimum thickness the coating can be in order to do this?
A. 175 nm
B. 94.9 nm
C. 145 nm
D. 65.2 nm
E. 87.4 nm
12) A biologist keeps a specimen of his favorite beetle embedded in a cube of plastic with an
index of refraction of 1.62. To the biologist, the beetle appears to be 1.8 cm within the plastic.
What is the beetle's actual distance beneath the surface of the plastic?
A. 1.1 cm
B. 1.5 cm
C. 2.4 cm
D. 2.9 cm
E. 3.3 cm
13) Two light bulbs are 3.00 m apart. Approximately from what distance can these light bulbs
be marginally resolved by a small telescope with a 3.00 cm diameter objective lens? Take the
wavelength of the light to be the average wavelength for visible light: 550 nm.
A. 67 km
B. 112 km
C. 134 km
D. 149 km
E. 176 km
Xin e
14) A mass oscillates on a horizontal spring with frequency 0.80 Hz. If the mass is pulled to the
right and then released, how long will it take the mass to return to the point where it is
released?
A. 1.0 s
B. 1.25 s
C. 2.0 s
D. 2.5 s
E. 3.0 s
Transcribed Image Text:10) Consider the following traveling wave given by the equation: x = (0.3 m) cos(13x – 23t). What is the wavelength of this traveling wave? A. 0.48 m B. 0.41 m C. 0.36 m D. 0.27 m E. 0.19 m 11) A coating is being applied to reduce the reflectivity of a pane of glass to light with a wavelength of 480.5 nm that is incident normally on the pane. If the coating material has an index of refraction of 1.375 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating can be in order to do this? A. 175 nm B. 94.9 nm C. 145 nm D. 65.2 nm E. 87.4 nm 12) A biologist keeps a specimen of his favorite beetle embedded in a cube of plastic with an index of refraction of 1.62. To the biologist, the beetle appears to be 1.8 cm within the plastic. What is the beetle's actual distance beneath the surface of the plastic? A. 1.1 cm B. 1.5 cm C. 2.4 cm D. 2.9 cm E. 3.3 cm 13) Two light bulbs are 3.00 m apart. Approximately from what distance can these light bulbs be marginally resolved by a small telescope with a 3.00 cm diameter objective lens? Take the wavelength of the light to be the average wavelength for visible light: 550 nm. A. 67 km B. 112 km C. 134 km D. 149 km E. 176 km Xin e 14) A mass oscillates on a horizontal spring with frequency 0.80 Hz. If the mass is pulled to the right and then released, how long will it take the mass to return to the point where it is released? A. 1.0 s B. 1.25 s C. 2.0 s D. 2.5 s E. 3.0 s
9) A sinusoidal wave travels along a lightweight string with wavelength ₁ and frequency f₁. It
reaches a much heavier string, with a lower wave speed, and continues on with wavelength 2₂
and frequency f2. Which of the following statements is true?
A. A₂ > A₁ and f₂ = f1
B. 12 <₁ and f₂ > f1
C. 12 > A₁
and f₂ > f1
D. 22 <1 and f₂ = f1
E. 12 = ₁ and f₂ <f1
Transcribed Image Text:9) A sinusoidal wave travels along a lightweight string with wavelength ₁ and frequency f₁. It reaches a much heavier string, with a lower wave speed, and continues on with wavelength 2₂ and frequency f2. Which of the following statements is true? A. A₂ > A₁ and f₂ = f1 B. 12 <₁ and f₂ > f1 C. 12 > A₁ and f₂ > f1 D. 22 <1 and f₂ = f1 E. 12 = ₁ and f₂ <f1
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