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Vladimir79 [104]
3 years ago
11

A small red light-emitting diode (LED) is placed 15.0 cm below the surface of the water in a bathtub. Because of total internal

reflection, a circle of red light is observed at the water surface. Light inside the circle gets out into the air, but light hitting the water surface (from below) outside the circle experiences total internal reflection. Calculate the diameter of this circle. Assume that the air above the water has an index of refraction of 1.00, and that the water has an index of refraction of 1.33. diameter

Engineering
2 answers:
lubasha [3.4K]3 years ago
4 0

Answer:

34.2 Cm

Explanation:

Lets take, Snell's law

n_2 sinC = n_1 sin90

SinC = \frac{1*1}{1.33}

C = Sin^-^1 \frac{1}{1.33}

C = 48.75°

To find radius,r of the circle, we have:

r = H tanC

Where H = 15 cm

r = 15 * tan048.75°

= 17.1 cm

Diameter = 2r

= 2 * 17.1cm

= 34.2 cm

The diameter of the circle is 34.2cm

maksim [4K]3 years ago
4 0

Answer:

Diameter of the circle = 34.2 cm

Explanation:

The refractive index of water, i = 1.33

Critical angle, c can be calculated as:

c = sin^{-1} (\frac{1}{i} )\\c = sin^{-1} (\frac{1}{1.33} )\\c = 48.75^{0}

From the diagram attached:

tan c = \frac{r}{h} \\tan 48.75 = \frac{r}{15}\\r = 15 tan 48.75\\r = 17.1 cm

Radius, r = 17.1 cm

Diameter of the circle, d = 2r

d = 2 * 17.1

d = 34.2 cm

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3 years ago
A motor car shaft consists of a steel tube 30 mm internal diameter and 4 mm thick. The engine develops 10 kW at 2000 r.p.m. Find
tresset_1 [31]

The maximum shear stress in the tube when the power is transmitted through a 4: 1 gearing is 28.98 MPa.

<h3>What is power?</h3>

Power is the energy transferred per unit time.

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2 years ago
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Answer:

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8 0
3 years ago
True False. First angle projection type used in United states.
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Answer:

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the correct answer is FALSE.

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