One method for determining the amount of corn in early Native American diets is the stable isotope ratio analysis (SIRA) technique. As corn photosynthesizes, it concentrates the isotope carbon-13, whereas most other plants concentrate carbon-12. Overreliance on corn consumption can then be correlated with certain diseases, because corn lacks the essential amino acid lysine. Archaeologists use a mass spectrometer to separate the 12 C and 13 C isotopes in samples of human remains. Suppose you use a velocity selector to obtain singly ionized (missing one electron) atoms of speed 8.50 km/s, and you want to bend them within a uniform magnetic field in a semicircle of diameter 25.0 cm for the 12 C. The measured masses of these isotopes are 1.99×10−26kg(12C) and 2.16×10−26kg(13C).
(a) What strength of magnetic field is required?
(b) What is the diameter of the 13 C semicircle?
(c) What is the separation of the 12 C and 13 C ions at the detector at the end of the semicircle? Is this distance large enough to be easily observed?

Answers

Answer 1

Answer:

[tex]0.0084575\ \text{T}[/tex]

[tex]0.272\ \text{m}[/tex]

2.2 cm easily observable

Explanation:

[tex]m_1[/tex] = Mass of 12 C = [tex]1.99\times 10^{-26}\ \text{kg}[/tex]

[tex]m_2[/tex] = Mass of 13 C = [tex]2.16\times 10^{-26}\ \text{kg}[/tex]

[tex]r_1[/tex] = Radius of 12 C = [tex]\dfrac{25}{2}=12.5\ \text{cm}[/tex]

B = Magnetic field

v = Velocity of atom = 8.5 km/s

[tex]r_2[/tex] = Radius of 13 C

The force balance of the system is

[tex]qvB=\dfrac{m_1v^2}{r}\\\Rightarrow B=\dfrac{m_1v}{rq}\\\Rightarrow B=\dfrac{1.99\times 10^{-26}\times 8500}{12.5\times 10^{-2}\times 1.6\times 10^{-19}}\\\Rightarrow B=0.0084575\ \text{T}[/tex]

The required magnetic field is [tex]0.0084575\ \text{T}[/tex]

Radius is given by

[tex]r=\dfrac{mv}{qB}[/tex]

[tex]r\propto m[/tex]

So

[tex]\dfrac{r_2}{r_1}=\dfrac{m_2}{m_1}\\\Rightarrow r_2=\dfrac{m_2}{m_1}r_1\\\Rightarrow r_2=\dfrac{2.16\times 10^{-26}}{1.99\times 10^{-26}}\times 12.5\times 10^{-2}\\\Rightarrow r_2=0.136\ \text{m}[/tex]

The required diameter is [tex]2\times 0.136=0.272\ \text{m}[/tex]

Separation is given by

[tex]2(r_2-r_1)=2(0.136-0.125)=0.022\ \text{m}[/tex]

The distance of separation is 2.2 cm which is easily observable.


Related Questions

Determine the angle between the directions of vector A with rightwards arrow on top = 3.00i + 1.00j and vector B with rightwards arrow on top = -3.00i + 3.00j.

A) 117°


B) 88.1°


C) 26.6°


D) 30.0°


E) 45.2°

Answers

Answer:

C) 26.6

Explanation:

I don't know how to calculate vector

The angle between the two vectors is 117⁰

The given parameters;

vector A = 3.00i + 1.00j

vector B = -3.00i + 3.00j

The  angle between the two vectors is calculated as follows;

[tex]cos \ \theta = \frac{A\ . \ B}{|A| \ . \ |B|}[/tex]

The dot product of vector A and B is calculated as;

[tex]A \ . \ B = (3i \ + j) \ . \ (-3i \ + 3j) = (3\times -3) + (1 \times 3) = -9 + 3 =- 6[/tex]

The magnitude of vector A and B is calculated as;

[tex]|A| = \sqrt{3^2 + 1^2} = \sqrt{10} \\\\|B| = \sqrt{(-3)^2 + (3)^2} = \sqrt{18}[/tex]

The  angle between the two vectors is calculated as;

[tex]cos \ \theta = \frac{-6}{\sqrt{10} \ . \sqrt{18} } \\\\cos \ \theta = \frac{-6}{\sqrt{180} } \\\\cos \ \theta = -0.4472\\\\\theta = cos \ ^{-1} (-0.4472) \\\\\theta = 116.6^0 \approx 117^0[/tex]

Thus, the angle between the two vectors is 117⁰

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On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 95.0 cm and diameter 2.00 cm from a storage room to a machinist. Calculate the weight of the rod, w. Assume the free-fall acceleration is g

Answers

Answer:

[tex]22.84\ \text{N}[/tex]

Explanation:

[tex]\rho[/tex] = Density = [tex]7800\ \text{kg/m}^3[/tex]

h = Length of rod = 95 cm

d = Diameter of rod = 2 cm

r = Radius = [tex]\dfrac{d}{2}=1\ \text{cm}[/tex]

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

V = Volume of rod = [tex]\pi r^2h[/tex]

Mass is given by

[tex]m=V\rho[/tex]

Weight is given by

[tex]w=mg=V\rho g\\\Rightarrow w=\pi r^2h\rho g\\\Rightarrow w=\pi\times (1\times 10^{-2})^2\times (95\times 10^{-2})\times 7800\times 9.81\\\Rightarrow w=22.84\ \text{N}[/tex]

The weight of the rod is [tex]22.84\ \text{N}[/tex].

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+βt3θ(t)=γt+βt3, where γ=γ= 0.450 rad/srad/s and β=β= 1.10×10−2 rad/s3rad/s3. Part A Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables ββ, γγ, and tt. ωz(t)ωz(t) = nothing rad/srad/s SubmitRequest Answer Part B What is the initial value of the angular velocity? ωzωz = nothing rad/srad/s SubmitRequest Answer Part C Calculate the instantaneous value of the angular velocity ωzωz at t=t= 5.25 ss . ωzωz = nothing rad/srad/s SubmitRequest Answer Part D Calculate the average angular velocity ωav−zωav−z for the time interval t=0t=0 to t=t= 5.25 ss .

Answers

Answer:

hufiui

fihgpfghlfikgergkfkjhfkhjgkffhhh

Explanation:

jjgzgcjxhgygueyuufhfugkhkckgijljhgxjgjgffhgkgjxhxjgjcjckvjgghkhkgjgjfhfhfhffrusufsflslrsyfhldufñlñudtoqdyhjjxkgsgjfktwlyfñujxjxhlxlhdktstedoyñfuyñflldytidoyeyljjcñcjluffñui5woyepurñfuñufldyrajuñdlydstdyñudñydktshñxjcñydiw5uñfitwoyeoyeñufñfuñifjñufhlsyñeifññydoysitaiwtuñdyñdlsyltslsyoyeylsuñdñjjcyldlyslatlysñudidñjdñfjñjjxlhsmzhmzjjdjdlhdñhjdñjdñjddñhflhuñfhxltkds4urayraylraluarularuñstuñtsuñtsultsuñtsuñstñitsñktssistustlulsrustlularyralultalutslutajltsñgskjlgzljg?g o uguhxputxipyfugxiñhxiñhfuñdguldthgksjmgdjmgkhdjlgdjlgd

pduoyditsyafylrayoraourauptautospustistiptsñitsñitsñitsiptsiteitdustuñtsuñtsñitwiñstñitwñitsñstuuñrsoursurosoustjlsrlutejlgsjlstjfsjlgsultsjgzjñgsññkdylfhkñdgjlfshkadmjgsuñstñkydñkydñiykdhiñstñitsuñtsisñtñtieñietñietñiteñiwtñitskñgsiñteuñwrkñsturaluglsuñtwjlfalfjalhadoyfutdllgdñitswtkgsñktjrajtsurwñwñutiñtsiwñtuwñturqlñitwualtayoryarluarlietite

Which type of diffraction occurs when the point source and the screen are at finite distances from the obstacle forming the diffraction pattern?
A. fraunhofer
B. fresnel
C. far-field
D. single slit

Answers

Fresnel diffraction

In an NMR experiment, the RF source oscillates at 34 MHz and magnetic resonance of the hydrogen atoms in the sample being in- vestigated occurs when the external field Bext has magnitude 0.78 T. Assume that Bint and Bext are in the same direction and take the pro- ton magnetic moment component u, to be 1.41 X 10-26 J/T. What is the magnitude of Bint?

Answers

Answer:

[tex]B_{int}=-0.015T[/tex]

Explanation:

From the question we are told that:

RF source oscillation speed [tex]\sigma= 34 MHz[/tex]

The external field [tex]Bext =0.78 T[/tex].

Pro- ton magnetic moment component [tex]\mu=1.41 X 10-26 J/T[/tex]

Generally the equation for magnitude of [tex]B_{int}[/tex] is mathematically given by

[tex]B_{int}=B_{ext}-\frac{h\triangle \sigma}{2 \mu}[/tex]

[tex]B_{int}=0.78-\frac{6.6*10^{-34}*34*10^6}{2*1.41*10^{26}}[/tex]

[tex]B_{int}=0.78-0.7957[/tex]

[tex]B_{int}=-0.015T[/tex]

an example of a household appliance with a low and high power rating​

Answers

Answer:

Explanation:

There are countless household appliances in every single house. One appliance with a low power rating would be a ceiling fan. On average ceiling fans consume roughly 60w and are found in the majority of houses. On the other side of the spectrum, we have a high power-rating appliance such as a microwave. Microwaves use anywhere between 1000w to 1800w of power in order to function correctly. This is very large power consumption and one of the highest power ratings found for appliances in a household.

What is the difference between center of mass and center of gravity?

Answers

Answer:

Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field. Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.

Answer:

Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field.

Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.

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1: Which person is not doing work?
O A. A person climbing a hill
O B. Someone climbing stairs
O C. A person lifting a bag of sand
O D. A person holding a baby

Answers

Answer:

D

Explanation:

helpppppppppppppppppppppppppppp............



an object is moving with initial velocity of 5 m/s. After 10 seconds final velocity is 10 m/s. Calculate its acceleration.​

Answers

Answer:

0.5 m/s 2 is the acceleration

Explanation:

hope it helped!!!

Quia
Active
16:05:5
A plant root is an example of

Answers

Answer:A plant root is an example of an organ

Explanation:The main function of the root is to collect nutrients and water from the soil.

Answer:

hi sorry i just want points YOSHIII :3

Explanation:

According to Lenz's law, the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.

a. True
b. False

Answers

Answer:

True

Explanation:

It is true that the real definition of lenz's law in magnetism is the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.

This means that induced current opposes the very cause that produces it.

Infrared radiation from young stars can pass through the heavy dust clouds surrounding them, allowing astronomers here on Earth to study the earliest stages of star formation, before a star begins to emit visible light. Suppose an infrared telescope is tuned to detect infrared radiation with a frequency of 1.61THz. Calculate the wavelength of the infrared radiation. Round your answer to 3 significant digits.

Answers

Answer:

λ = 1.86 x 10⁻⁴ m = 186 μm

Explanation:

The relationship between the wavelength and the frequency of a wave is given by the following equation:

[tex]c = f\lambda\\\\\lambda = \frac{c}{f}[/tex]

where,

λ = wavelength of infrared radiation = ?

c = speed of infrared radiation = speed of light = 3 x 10⁸ m/s

f = frequency of infrared radiation = 1.61 THz = 1.61 x 10¹² Hz

Therefore,

[tex]\lambda = \frac{3\ x\ 10^8\ m/s}{1.61\ x\ 10^{12}\ Hz}[/tex]

λ = 1.86 x 10⁻⁴ m = 186 μm

What does weathering do?

2. What does erosion do?

3. What is physical weathering?

4. what are 3 examples of physical weathering?

5. What is chemical weathering?

6. What are 2 examples of chemical weathering?

7. What is biological weathering?

8. What are 3 examples of biological weathering?

Answers

Answer

Weathering describes the breaking down or dissolving of rocks and minerals on the surface of the Earth. Water, ice, acids, salts, plants, animals, and changes in temperature are all agents of weathering. Once a rock has been broken down, a process called erosion transports the bits of rock and mineral away.

Erosion is the geological process in which earthen materials are worn away and transported by natural forces such as wind or water. A similar process, weathering, breaks down or dissolves rock, but does not involve movement.

Physical weathering is caused by the effects of changing temperature on rocks, causing the rock to break apart. The process is sometimes assisted by water. ... Freeze-thaw occurs when water continually seeps into cracks, freezes and expands, eventually breaking the rock apart.

Swiftly moving water. Rapidly moving water can lift, for short periods of time, rocks from the stream bottom. ...

Ice wedging. Ice wedging causes many rocks to break. ...

Plant roots. Plant roots can grow in cracks.

the erosion or disintegration of rocks, building materials, etc., caused by chemical reactions (chiefly with water and substances dissolved in it) rather than by mechanical processes.

Carbonation. When you think of carbonation, think carbon! ...

Oxidation. Oxygen causes oxidation. ... or

Hydration. This isn't the hydration used in your body, but it's similar. ...

Biological weathering is weathering caused by plants and animals. Plants and animals release acid forming chemicals that cause weathering and also contribute to the breaking down of rocks and landforms. Chemical weathering is weathering caused by breaking down of rocks and landforms.

Burrowing animals like shrews, moles, earthworms, and even ants contribute to biological weathering. ...

When animals like birds forage for seeds and earthworms, they create holes and erode the upper surface of the soil, thus, contributes to weathering.

rabbits and other burrowing animals can burrow into a crack in a rock, making it bigger and splitting the rock. You may have seen weeds growing through cracks in the pavement.

Explanation:

Hope this helps you!!

Sarah is a 30 year old white female. Her occupation is part time chef. She is recently been divorced and has custody of
her three children. She has extreme changes in her mood that began to appear in her 20's but she never went to
see a
doctor about them. When family tries to talk to her about her upset, she reacts by becoming angry and blaming them
for her situation. She is currently complaining of crying episodes, not eating, headaches, thinking she is a failure,
spending most of her time in bed, and not being interested in activities she once enjoyed doing with her kids, such as
going to the park and seeing movies. Her mother and grandfather also showed signs of mental illness and she
reported that her mom has taken Depakote before, which helped. Sarah wants to open her own restaurant and move to
a bigger house.
1. Please answer the following questions by referring to the above case study and the assigned reading for this
unit:
• What psychological and physical symptoms does Sarah present with?
. What is the primary psychological disorder diagnosis that fits her symptoms based on the disorders
described in the textbook?

Answers

Answer:

how to deal with devoirce

Explanation:

The psychological and physical symptoms that Sarah presents include:

She frequently has headaches.She also has a loss of appetite.She gets angry easily.

From the information given, we can infer that some of the symptoms include the fact that Sarah frequently has headaches, loss of appetite, and gets angry easily.

The primary psychological disorder diagnosis that fits her symptoms based on the disorders will be depression. She's depressed because she just got divorced. This has taken a toll on her health.

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https://brainly.com/question/19276767


A student with a mass of 52 kg, starts from rest and travels down a 2 m slide. What is
the KE of the student at the bottom of the slide?

Answers

Answer:

https://www.ux1.eiu.edu/~cfadd/1350/Hmwk/Ch08/Ch8.html

Explanation:

A transparent oil with index of refraction 1.15 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident violet light (wavelength 400 nm in air). Assuming the maximum occurs in the first order, determine the thickness of the oil slick.

Answers

Answer:

The thickness of the oil slick. t = 173.91 nm

Explanation:

Oil film thickness t is given by the equation

[tex]t = \frac{\lambda}{2n}[/tex]

where λ = wavelength of incident light in air = 400 nm

and n = index of refraction of oil

therefore,

[tex]t =\frac{400}{2\times 1.15}\\t= 173.91 nm[/tex]

The thickness of the oil slick. t = 173.91 nm

As the Moon revolves around the Earth, it also rotates on its axis. Why is it that the same side of the Moon is always visible from Earth?

Answers

Answer: The speed of the moon's rotation keeps the same side always facing Earth.

Explanation: Please mark me brainiest

Answer:

The speed of the Moon's rotation keeps the same side always facing Earth.

Explanation:

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Two vectors have magnitudes 3 and 4 . how are the directions of the two vectors related if: a/the sum has magnitude 7.0 ​

Answers

Same directions
Perpendicular
Opposite directions

In an electrical circuit, electrons move from the __________.
A. Negative pole to negative pole B. Negative pole to positive pole
C. Positive pole to positive pole

Answers

Answer:

the answer is B from negative pole to positive pole

What would the current be for a circuit that has a voltage of 0.8 V and a resistance of 0.01 Q?
0 1 = 0.01 A
0 1 = 0.8 A
0 1 = 80 A
O I = 0.08 A

Answers

Answer:

80 A

Explanation:

Hi there!

Ohm's law states that [tex]V=IR[/tex] where V is the voltage, I is the current and R is the resistance.

Plug the given information into Ohm's law (V=0.8, R=0.01) and solve for I

[tex]V=IR\\0.8=I(0.01)[/tex]

Divide both sides by  0.01 to isolate I

[tex]0.8=I(0.01)\\\frac{0.8}{0.01}= \frac{I(0.01)}{0.01} \\80=I[/tex]

Therefore, the current for this circuit would be 80 A.

I hope this helps!

can someone help? NO LINKS OR IM REPORTING

Answers

Answer:

Bjsjsjsiisudujdgjkkgywuuuyyyuwu

Another word for kinetic energy
could be
energy.
A. Safe
B. Moving
C. Stored
D. Potential

Answers

Answer:

moving

Explanation:

hope it helped!!!

Answer:

B

Explanation:

Two small metallic spheres with equal mass are suspended as pendulums by strings of length L. The sphereshave the same electric charge and come to equilibrium with each string at an angle of Θ = 10.00° with the vertical. What happens if the electric charges are decreased?

A) Θ decrease

B) Θ increase

C) Θ remains the same

D) distant between spheres increases

Answers

Answer:

Two small metallic spheres with equal mass are suspended as pendulums by strings of length L. The sphereshave the same electric charge and come to equilibrium with each string at an angle of Θ = 10.00° with the vertical. What happens if the electric charges are decreased?(D)

Explanation:

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Types of telescope
for Space
observation​

Answers

Answer:The three main types are reflecting telescopes, refracting telescopes, and catadioptric telescopes. Radio telescopes collect and focus radio waves from distant objects. Space telescopes orbit Earth, collecting wavelengths of light that are normally blocked by the atmosphere.

Answer:

oii me manda mensagem fofo vc tem namorada fofo

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