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
andreev551 [17]
3 years ago
6

Compare the de Broglie wavelength of an alpha particle moving at 3.40×107 miles per hour (1.52×107 m/s) to that of a baseball mo

ving at 90.0 miles per hour (40.2 m/s) and an electron with a speed of 1.30×107 miles per hour (5.81×106 m/s). Which region of the electromagnetic spectrum are each of these wavelengths near?
Chemistry
1 answer:
denis-greek [22]3 years ago
3 0

Answer:

1.74 x 10⁻²⁰(baseball) : 1.90 x 10⁴ (electron) : 1 (alpha particle)

baseball not detected

electron x ray

alpha particle beyond gama rays

Explanation:

The strategy for us here is to utilize deBroglie relation of wavelength and momentum:

λ = h/ mv

where  λ is wavelength,  h isPlanck´s constant, m is the mass of the particle, and v its velocity.

For determining the regions of spectrum the wavelengths fall into, we need to consult charts that describe the wavelengths vs region.

So  using the above  equation we will compute the wavelengths for the alpha particle, baseball,  and an electron.

Notice we are missing the masses of the alpha particle, and that of the electron, and baseball

The mass of the alpha particle is 4 times  amu  (4 x 1.66 x 10⁻²⁷ Kg ) since the alpha particle is esentially a helium nucleus which has atomic number 4.

The mass of the electron is 9.11 x 10⁻³¹ kg.

Mass of baseball per rules around 0.145 kg.

Notice we are working in the metric system, so use the velocities in m/s.

Now that we have all the data required, lets proceed to calculate the respective wavelengths.

λ ( alpha particle ) = 6.626 x 10⁻³⁴ J·s / ( 4 x 1.66 x 10⁻²⁷ kg x 1.52 x 10⁷ m/s )

= 6.57 x 10⁻¹⁵ m

λ ( baseball ) = 6.626 x 10⁻³⁴ J·s / ( 0.145 kg  x 40.2 m/s ) = 1.14 x 10⁻³⁴ m

λ ( electron ) = 6.626 x 10⁻³⁴ J·s / ( 9.11 x 10⁻³¹ kg x 5.81 x 10⁶ m/s )

= 1.25 x 10⁻¹⁰ m

Comparing the wavelengths from largest to smallest we have:

λ ( baseball) : λ ( electron )   : λ ( alpha particle )

1.14 x 10⁻³⁴  : 1.25 x 10⁻¹⁰ :  6.57 x 10⁻¹⁵

1.74 x 10⁻²⁰(baseball) : 1.90 x 10⁴ (electron) : 1 (alpha particle)

We can see the wavelength  of the baseball is very, very small compared to that of an electron and an alpha particle. For this small wavelength  we are not going to see effects such as diffraction or interference.This is the reason that for everyday macroscopic objects we do not talk about its associated wavelength. The wavelength can only be appreciated in  very small microscopic particles as exemplified for the cases of the electron and alpha particle in this question.

The wavelength of the baseball cannot be detected so a placement in the electromagnetic spectrum is undefined.

The wavelength of the electron in this question will fall into the x ray region of the spectrum (   region  around 10⁻⁹ to 10⁻¹² ) and the alpha particle will fall beyond the gamma rays ( that is wavelength shorter than 10⁻¹² m ).

You might be interested in
In order to expand agriculture and urban areas to meet increased demand for growing populations, water supplies often have to be
VMariaS [17]

answer:

lets say we have a big lake with a lot of animals and you want to move the water to somewhere else. A lot of animals and fish, frogs will have to find a new home!

7 0
3 years ago
What is an atomic number? An atomic mass?
mrs_skeptik [129]

Answer:

The atomic number is the number of the elements inside the periodic table and the mass is the weight or a number under the elements.

Explanation:

Correct me if I am wrong

4 0
3 years ago
Read 2 more answers
Compared to winds on the earth the winds on Saturn are much stronger. <br><br> True or False?
Yanka [14]
This is most definitly true
3 0
3 years ago
Honeybee venom is a solution that contains formic acid, which gives the venom an approximate ph of 5.0. which substance is more
Genrish500 [490]
Those substances which has pH less than 5 are more acidic than Honeybee Venom. Some of them are listed below along with their pH scale,

                  1) <span>Acid rain and Tomato Juice has a pH of 4.

                  2) Soda and Orange Juice has a pH of 3.

                  3) Vinegar and Lemon Juice has pH of 2.

                  4) Gastric acid has a pH of 1.

                  5) Battery Acids have pH of zero.</span>
5 0
3 years ago
Liquids have a(n)____shape and A(n)_____volume.
shusha [124]
B. Indefinite, definite
4 0
3 years ago
Other questions:
  • How many atoms are centered on the (100) plane for the fcc crystal structure?
    11·1 answer
  • What is the most significant breakthrough in forensic science since the development of fingerprinting?
    13·1 answer
  • What happens during the cell cycle
    15·1 answer
  • An ionic bond is between what kind of charged particles?
    14·1 answer
  • What is the enthalpy of the overall chemical equation
    10·2 answers
  • After an electric sign is turned on, the temperature of its glass goes from 23.5°C to 65.5°C. The sign’s glass has a mass of 905
    14·2 answers
  • If the half life of iridium-182 is 15 years, how much of a 3 gram sample is left after 2 half-lives?
    5·1 answer
  • Magnesium (24.30g) reacts with hydrogen chloride (xg) to produce hydrogen gas(2.04g) and magnesium chloride (96.90g). How much h
    12·2 answers
  • Which two factors are used to calculate the kinetic energy of an object?
    5·2 answers
  • When a reaction mixture reaches chemical equilibrium, ____.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!