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Evgesh-ka [11]
3 years ago
11

Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous plan

et varies linearly with the height of the atmosphere as measured from the top of a visible boundary layer. The instruments on board can withstand a temperature of 601 K. At what altitude will the probe's instruments fail?
A. 50 kilometers
B. 80 kilometers
C. 83 kilometers
D. 100 kilometers
E. 111 kilometers
Physics
2 answers:
barxatty [35]3 years ago
6 0
D. 100 kilometers cuz the more kilometers the better the altitude!!!
e-lub [12.9K]3 years ago
6 0
The temperature of the gaseous planet varies linearly with the height of the atmosphere as measured from the top of a visible boundary layer. The instruments on board can withstand a temperature of 601 K. The probe's instruments will fail at 111 kilometers. The answer is letter E.
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a) Red: 1.34

Violet: 1.40

b) Red: 2.23\times10^8\frac{m}{s}

Violet: 2.14\times10^8\frac{m}{s}

Explanation:

a) We should use Snell's law to find the index of refraction:

n_{1}sin\theta_{i}=n_{2}sin\theta_{t}

with n1 the index of refraction of air, n2 the index of refraction of the glass, θi the angle of the incident ray respects the normal an θt the angle between the refracted ray an the normal. It's common to approximate n1=1

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solving n2 for violet light:

\frac{sin\theta_{i}}{sin\theta_{t}}=n_{2}

n_2=\frac{sin57.0}{sin36.7}= 1.40

b) Index of refraction on a medium is defined as the ratio between the velocity of electromagnetic waves on vacuum (velocity of light c) and the velocity in medium (v):

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solving v for violet

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