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
Alex_Xolod [135]
3 years ago
15

The blackbody emission spectrum of object A peaks in the ultraviolet region of the electromagnetic spectrum at a wavelength of 2

00 nm. That of object B peaks in the red region, at 650 nm. Which object is hotter, and, according to Wien’s law, how many times hotter is it? According to Stefan’s law, how many times more energy per unit area does the hotter body radiate per second?
Physics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

A) Object A is 3.25 times hotter.

B) Object A radiates 111.6 times more energy per unit of area.

Explanation:

Wiens's law states that there is an inverse relationship between the wavelength in which there is a peak in the emission of a black body and its temperature, mathematically,

\lambda_{peak}= \dfrac{0.0028976}{T},

where T is the temperature in kelvins and, \lambda_{peak} is the wavelenght (in meters) where the emission is in its peak.

From here, if we solve Wien's law for the temperature we get

T=\dfrac{0.0028976}{\lambda_{peak}}.

Now, we can easily compute the temperatures.

For object A:

T_{A}=\dfrac{0.0028976}{200*10^{-9}}

T_{A}=14488K.

For object B:

T_{B}=\dfrac{0.0028976}{650*10^{-9}}

T_{B}=4458K

From this, we get that

T_{A}/T_{B}=3.25,

which means that object A is 3.25 times hotter.

Stefan's Law states that a black body emits thermal radiation with power proportional to the fourth power of its temperature.

This is

E=\sigma T^{4},

where  \sigma=5.67*10^{-8}\ Wm^{-2}K^{-4} is call the Stefan-Boltzmann constant.

From this, power can be easily compute:

E_{A}=(5.67*10^{-8}*(14488)^{4})=2.5*10^{9}W\\E_{B}=(5.67*10^{-8}*(4458)^{4})=22.4*10^{6}}W,

and we can notice that

E_{A}/E_{B}=111.6,

which means that object A radiates 111.6 time more energy per unit of area.

You might be interested in
4. Compare the disturbance before and after the waves pass through the slit.
nataly862011 [7]
Jesus, jesus is always the answer

3 0
3 years ago
Read 2 more answers
A student is conducting an experiment to determine how far a ballwill roll down a ramp based on the angle of incline what are th
Basile [38]

Answer:ball, ramp, and angle

Explanation: these are the three things that are controls because you can control them

8 0
3 years ago
Are you for or against using nuclear energy?
Alecsey [184]

Answer:

Against but it really depends on the situation

4 0
3 years ago
Read 2 more answers
Star A and Star B have different apparent brightnesses but identical luminosities. Star A is 10 light years away from earth and
STALIN [3.7K]

intensity of a star is inversely depends on the square of the distance from the star

we can say it is given as

\frac{I_1}{I_2} = \frac{r_2^2}{r_1^2}

here we know that

\frac{I_1}{I_2} = 36 times

also we know that

r_1 = 10 Ly

now we will have

\frac{I_1}{I_2} = \frac{r_2^2}{r_1^2}

36 = \frac{r_2^2}{10^2}

r_2 = 60 Ly

so other star is at distance 60 Light years

8 0
3 years ago
A ball is thrown horizontally from a 19 m -high building with a speed of 2.0 m/s . How far from the base of the building does th
bazaltina [42]
Using the formula: ΔY = V₀y * t + (1/2) * ay * t²

Solve for time and get: 1.968s

Then use: v = d/t in the x-direction and get: d = 3.936
3 0
3 years ago
Other questions:
  • When triggers nuclear fusion in stars
    5·1 answer
  • If a much heavier stone rolled off the same cliff, would it hit the ground more quickly? explain
    12·2 answers
  • A flow of electricity that constantly reverses direction. In the United States it reverses itself 120 times per second.
    7·1 answer
  • What was the main aim behind Wegener's continental drift theory?
    15·1 answer
  • A motorist travels 406 km, West during a 7.0 hr period. What was the average velocity in (a) km/hr and (b) m/sec?
    15·1 answer
  • Consider a household that uses 22.0 kW-hour of electricity per day on average. Most of that electricity is supplied by fossil fu
    15·1 answer
  • An engineer has the task of producing an aluminum alloy with a density of 3.0 grams per cubic centimeter. She comes up with the
    6·1 answer
  • Sound travels through water at speed of "1.43" km/s.how far does sound travel in 1000 seconds?​
    14·1 answer
  • Two students on ice skates stand one behind the other. Student 2 pushes student 1 in the back; both students move away from each
    6·1 answer
  • 1. A box contains 10 blue chips. 5 red chips, and 15 yellow chips. Find the odds of choosing the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!