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
Harman [31]
3 years ago
6

A 477 g portion of soup is heated in a microwave oven from 25°C to 90°C, using radiation with a wavelength of 1.55 × 10⁻² m. Ass

uming the heat capacity of the soup is the same as water (4.18 J/°C・g), how many photons are absorbed by the soup?
Physics
1 answer:
zheka24 [161]3 years ago
4 0

To solve this problem we will use the heat transfer equations, to determine the amount of heat added to the body. Subsequently, through the energy ratio given by Plank, we will calculate the energy of each of the photons. The relationship between total energy and unit energy will allow us to determine the number of photons

The mass of water in the soup is 477g

The change in temperate is

\Delta T = (90+273K)-(25+273K) = 65K

Use the following equation to calculate the heat required to raise the temperature:

q = mc\Delta T

Here,

m = Mass

c = Specific Heat

q = (477)(4.184)(65)

q = 129724.92J

The wavelength of the ration used for heating is 1.55*10^{-2}m

The number of photons required is the rate between the total energy and the energy of each proton, then

\text{Number of photons} = \frac{\text{Total Energy}}{\text{Energy of one Photon}}

This energy of the photon is given by the Planck's equation which say:

E = \frac{hc}{\lambda}

Here,

h = Plank's Constant

c = Velocity of light

\lambda = Wavelength

Replacing,

E = \frac{(6.626*10^{-34})(3*10^8)}{1.55*10^{-2}}

E = 1.28*10^{-23}J

Now replacing we have,

\text{Number of photons} = \frac{82240.7}{1.28*10^{-23}}

\text{Number of photons} = 6.41*10^{27}

Therefore the number of photons required for heating is 6.41*10^{27}

You might be interested in
The temperature of a substance during an experiment can be modeled by the function f(x)=−7.5cos(πx30)+31.4 , where f(x) is the t
vekshin1
38.9 degrees celsius
6 0
3 years ago
Read 2 more answers
Two long, straight wires are separated by 0.120 m. The wires carry currents of 11 A in opposite directions, as the drawing indic
rewona [7]

Answer:

The magnitude of the magnetic field is 1.83 x 10^{-5} T.

Explanation:

The flow of an electric current in a straight wire induces magnetic field around the wire. When current is flowing through two wires in the same direction, a force of attraction exists between the wires. But if the current flows in opposite directions, the force of repulsion is felt by the wires.

In the given question, the direction of flow of current through the wires is opposite, thus both wires applies the same field on each other. The result to repulsion between them.

The magnetic field (B) between the given wires can be determined by:

B = \frac{U_{o}I }{2\pi r}

where: I is the current, r is the distance between the wires and U_{0} is the magnetic field constant.

But, I = 11 A, r = 0.12 m and U_{0} = 4\pi x 10^{-7} Tm/A

So that;

B = \frac{4\pi *10^{-7}*11 }{2\pi *0.12}

   = 1.8333 x 10^{-5}

B = 1.83 x 10^{-5} T

6 0
2 years ago
An object is shot upwards, from the ground, with an initial velocity of 120
Alex777 [14]

Answer: 30 metres

Explanation:

Initial velocity of object = 120m/s

Time taken = 4.0s

Distance covered by object = ?

Recall that distance = (Change in velocity / Time taken)

Distance = (120m/s)/4.0s

= (120m/s) / 4.0s

= 30m

Thus, the object will be 30 metres high

6 0
3 years ago
What is the magnitude of the force, directed parallel to the ramp, that he needs to exert on the crate to get it to start moving
lions [1.4K]

Complete question is;

Jason works for a moving company. A 75 kg wooden crate is sitting on the wooden ramp of his truck; the ramp is angled at 11°.

What is the magnitude of the force, directed parallel to the ramp, that he needs to exert on the crate to get it to start moving UP the ramp?

Answer:

F = 501.5 N

Explanation:

We are given;

Mass of wooden crate; m = 75 kg

Angle of ramp; θ = 11°

Now, for the wooden crate to slide upwards, it means that the force of friction would be acting in an opposite to the slide along the inclined plane. Thus, the force will be given by;

F = mgsin θ + μmg cos θ

From online values, coefficient of friction between wooden surfaces is μ = 0.5

Thus;

F = (75 × 9.81 × sin 11) + (0.5 × 75 × 9.81 × cos 11)

F = 501.5 N

3 0
3 years ago
_____ can alter wind flow and create a rain shadow effect. Beaches Lakes Mountains Oceans
Ket [755]
The correct answer is Mountains. Mountains can alter wind flow and create a rain shadow effect. A mountain is a large landform and is high surrounding a limited area. It is generally steeper and higher than a hill.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What happens to the sound of a train whistle as a train approaches and passes you? why?
    12·1 answer
  • An automobile is traveling on a long, straight highway at a steady 76.0 mi/h when the driver sees a wreck 180 m ahead. at that i
    15·1 answer
  • Which statement about electric force is true?
    6·2 answers
  • Please give me the answer of this​
    8·1 answer
  • Charles is having a lot of problems with errors in a very complicated spreadsheet that he inherited from a colleague, and he tur
    9·1 answer
  • A coin is placed 32 cm from the center of a horizontal turntable, initially at rest. The turntable then begins to rotate. When t
    9·1 answer
  • A manufacturer provides a warranty against failure of a carbon steel product within the first 30 days after sale. Out of 1000 so
    8·1 answer
  • Describe the role of plate tectonics for volcanic eruptions, continent formation, seafloor spreading, and mountain formation.
    10·1 answer
  • A 2. 5 kg block is launched along the ground by a spring with a spring constant of 56 N/m. The spring is initially compressed 0.
    5·2 answers
  • An astronaut is planning a trip to a newly-discovered planet. According to 2 points
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!