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fomenos
3 years ago
8

An oil layer that is 5.0 cm thick is spread smoothly and evenly over the surface of water on a windless day. A light ray from th

e air above enters the oil at 45° with the normal and then goes into the water. What is the angle of refraction of this ray in the water? The index of refraction for the oil is 1.15, and for water it is 1.33.
Physics
1 answer:
marshall27 [118]3 years ago
7 0

Answer:

The angle of refraction in water 32.12°.

Explanation:

Given that,

Thickness = 5.0 cm

Index of refraction for oil = 1.15

Index of refraction for water = 1.33

Angle = 45°

We need to calculate the angle of refraction

When the ray of light enters from air to oil

Using formula of refraction

n_{a}\sin\theta_{a}=n_{o}\sin\theta_{o}

Where, n_{a} = refractive index of air

n_{0} = refractive index of oil

Put the value into the formula

1\times\sin45=1.15\sin\theta_{o}

\sin\theta_{o}=\dfrac{1}{\sqrt{2}\times1.15}

\sin\theta_{o}=0.6148

\theta_{o}=sin^{-1}0.6149

\theta_{o}=37.94^{\circ}

When the ray of light enters from oil to water

Using formula of refraction

n_{0}\sin\theta_{0}=n_{w}\sin\theta_{w}

Where,  n_{w} = refractive index of water

1.15\times\sin37.94^{\circ}=1.33\sin\theta_{w}

\sin\theta_{w}=\dfrac{1.15\sin37.94^{\circ}}{1.33}

\theta_{w}=\sin^{-1}0.53163

\theta_{w}=32.12^{\circ}

Hence, The angle of refraction in water 32.12°.

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A drunken sailor stumbles 550 meters north, 500 meters northeast, then 450 meters northwest. What is the total displacement and
cluponka [151]

Answer:

Resultant displacement = 1222.3 m

Angle is 88.3 degree from +X axis.

Explanation:

A = 550 m north

B = 500 m north east

C = 450 m north west

Write in the vector form

A = 550 j

B = 500 (cos 45 i + sin 45 j ) = 353.6 i + 353.6 j

C = 450 ( - cos 45 i + sin 45 j ) = - 318.2 i + 318.2 j

Net displacement is given by

R = (353.6 - 318.2) i + (550 + 353.6 + 318.2) j

R = 35.4 i + 1221.8 j

The magnitude is

R = \sqrt{35.4^{2}+1221.8^{2}}R = 1222.3 m

The direction is given by

tan\theta =\frac{1221.8}{35.4}\\\\\theta = 88.3^{o}

3 0
3 years ago
Luis and Aisha conducted an experiment. They exerted different forces on four objects. Their results are shown in the table.
lesya692 [45]

Answer:

Object 3 has greatest acceleration.

Explanation:

Objects               Mass                                Force

1                            10 kg                               4 N              

2                           100 grams                       20 N

3                            10 grams                         4 N

4                             1 kg                                 20 N

Acceleration of object 1,

a_1=\dfrac{F_1}{m_1}\\\\a_1=\dfrac{4}{10}\\\\a_1=0.4\ m/s^2

Acceleration of object 2,

a_2=\dfrac{F_2}{m_2}\\\\a_2=\dfrac{20}{0.1}\\\\a_2=200\ m/s^2

Acceleration of object 3,

a_3=\dfrac{F_3}{m_3}\\\\a_3=\dfrac{4}{0.01}\\\\a_3=400\ m/s^2

Acceleration of object 4,

a_4=\dfrac{F_4}{m_4}\\\\a_4=\dfrac{20}{1}\\\\a_3=20\ m/s^2

It is clear that the acceleration of object 3 is 400\ m/s^2 and it is greatest of all. So, the correct option is (3).

4 0
3 years ago
Read 2 more answers
A 10,000-watt radio station transmits at 535 kHz. Determine the number of joules transmitted per second. 10,000 J/s 10 J/s 535 J
REY [17]
1 nanowatt  =  1 nanojoule/sec
1 watt  =  1 joule/sec
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100 watts  =  100 joules/sec
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1,000 watts  =  1,000 joules/sec
10,000 watts  =  10,000 joules/sec
100,000 watts  =  100,000 joules/sec
1 megawatt  =  1 megajoule/sec
1 gigawatt  =  1 gigajoule/sec
1 petawatt  =  1 petajoule/sec

We don't care what frequency the transmission is using,
or who their morning DJ is.

5 0
3 years ago
A student walks 10 m North, 6 m South, 7 m West and 4 m East. Find the student's distance AND displacement
BlackZzzverrR [31]

Answer: Distance: 27m Displacement: 7m

Explanation: Distance is total, Displacement is from the start.

Hope this helped!

Mark Brainliest if you feel like it!

5 0
3 years ago
What name is given to the rate of flow of<br> electric charge?
RSB [31]

Answer:

<h2>Electric charge</h2>

Explanation:

The rate of the flow of electric charge is known as electric current. <u>By convention, the direction of electric current is always the direction of net flow of positive charge.</u>

3 0
2 years ago
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