1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ololo11 [35]
3 years ago
13

You can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction

of a substance that has a critical angle of 47.3° when submerged in ethanol, which has an index of refraction of 1.361? (b) What would the critical angle be for this substance in air?
Physics
1 answer:
gregori [183]3 years ago
3 0

Answer:

a )1.851

b ) 32.68°

Explanation:

The relation between critical angle and index of refraction is as follows

Sin C = 1 / μ

C is critical angle and μ is refractive index.

Given C = 47.3

Sin 47.3 = 1 / μ

0.735 = 1 / μ

μ = 1 / .735

= 1.36

This is with respect to ethanol .

1.36 = refractive index of material /  refractive index of ethanol

refractive index of material = 1.36 x refractive index of ethanol

= 1.36 x 1.361 = 1.851

If critical angle for this substance be A

Sin A = 1 / 1.851 = .54

A = 32.68° .

You might be interested in
Which careers typically require post-secondary education other than vocational school? Check all that apply. Boiler Operation Co
In-s [12.5K]

Answer: Construction management, Architecture, Civil Drafting.

Explanation: hope this helps :)

5 0
3 years ago
Read 2 more answers
A proton is initially at rest. After some time, a uniform electric field is turned on and the proton accelerates. The magnitude
marusya05 [52]

Answer:

a) 8.83*10⁵ m/s  b) 2.80*10⁶ m/s

Explanation:

a) Assuming no other forces acting on the proton, the acceleration on it is produced by the electric field.

By definition, the  force due to the electric field is as follows:

F = q*E = e*E (1)

where e is the elementary charge, the charge carried by only one proton, and is e = 1.6*10⁻¹⁹ C.

According to Newton's 2nd law, this force is at the same time, the product of the mass of the proton, times the acceleration a:

F = mp*a (2)

From (1) and(2), being left sides equal, right sides must be equal too:

F = e*E = mp*a

Solving for a:

a = \frac{e*E}{mp} =\frac{1.6e-19C*1.36e5N/C}{1.67e-27kg} =1.3e13 m/s2

⇒ a = 1.3*10¹³ m/s²

As we have the value of a (which is constant due to the field is uniform), the displacement x, and we know that the initial velocity is 0, in order to get the value of the speed, we can use the following kinematic equation:

vf^{2} -vo^{2} = 2*a*x

Replacing by v₀ = 0, a= 1.3*10¹³ m/s² and  x = 0.03 m, we can find vf as follows:

vf =\sqrt{2*(1.3e13 m/s2)*0.03m} = 8.83e5 m/s

⇒ vf = 8.83*10⁵ m/s

b) We can just repeat the equation from above, replacing x=0.03 m by x=0.3 m, as follows:

vf =\sqrt{2*(1.3e13 m/s2)*0.3m} = 2.80e6 m/s

⇒ vf = 2.80*10⁶ m/s

4 0
3 years ago
A 12.65 g sample of a radioactive substance is allowed to decay for 17.22 min. At that time, the sample weighed 3.115 g. What is
Mademuasel [1]

Answer:

8.61 min

Explanation:

original mass= 12.65

first half life = 12.65/2 = 6.325

second half life = 6.325/2 = 3.1625

Note : 3.1625 is the closest to the value (3.115) given so we work with it

total time for decay =17.22

therefore two decays = 17.22/2= 8.61

8 0
3 years ago
How many atoms are in each product silver sulfide ​
AlekseyPX

there are 3 atoms in each silver sulfide

5 0
3 years ago
A small metal bead, labeled A, has a charge of 28 nC .It is touched to metal bead B, initially neutral, so that the two beads sh
Dmitry_Shevchenko [17]

Answer:

Explanation:

Let the charge on bead A be q nC  and the charge on bead B be 28nC - qnC

Force F between them

4.8\times10^{-4} = \frac{9\times10^9\times q\times(28-q)\times10^{-18}}{(5\times10^{-2})^2}

=120 x 10⁻⁸ = 9 x q(28 - q ) x 10⁻⁹

133.33 = 28q - q²

q²- 28q +133.33 = 0

It is a quadratic equation , which has two solution

q_A = 21.91 x 10⁻⁹C or q_B = 6.09 x 10⁻⁹ C

3 0
3 years ago
Other questions:
  • A student leaves a sidewalk corner walks 3.0 blocks north then walks 3.0 blocks west.what is the students displacement from the
    8·1 answer
  • Which of the following describes pressure in a fluid?
    7·2 answers
  • Which of the following holds true for volume if the temperature of a given amount of gas increases and pressure remains constant
    10·2 answers
  • What is the main reason why many nuclear power plants are located near bodies of water?
    10·2 answers
  • Name all nfl players
    14·1 answer
  • What does a wave do that is so important?
    15·2 answers
  • If the work done on a object is 100 J and it comes to a rest on a surface with a mass of 10
    8·1 answer
  • ____________ is renewable energy source captured using the heat of the Earth.
    10·1 answer
  • PLEASE HELP IF YOUR GOOD AT PHYSICS!!!The speed of a bullet train is measured to be 312.0 mph 3.9 mph. What is the percent
    11·1 answer
  • Two forces F1 = -7.90i + 5.40j and F2 = 9.00i + 7.60j are acting on an object with a mass of m = 6.30 kg. The forces are measure
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!