Mass of a proton: 1.007825 units
Mass of a neutron: 1.008665 units
Calculate the mass Defect of 214 N has actual mass of 14.0031 u.

Answers

Answer 1

Given:-

mass of proton = 1.007825 umass of neuron = 2.008625 u .Actual mass = 14.0031 u

To find:-

The mass defect.

Answer:-

Mass defect arises when the mass of the atom differs from the sum of masses of nucleons . As we know that the nucleus of an atom is made up of neutrons(n) and protons (p) , and the total mass of a atom is the mass of nucleons ( protons and neutrons ) as electrons have mass very low as compared to that of n or p .

If we denote mass number by [tex]\green{A}[/tex] , then ;

[tex]\implies A = n_{\rm neutrons} + n_{\rm protons} [/tex]

Let [tex] Z[/tex] be the atomic number, then ;

[tex]\implies n_p = Z [/tex]

So, the number of neutrons will be;

[tex]\implies n_n = (A-Z) [/tex]

Therefore total mass would be ;

[tex]\implies M = m_pZ +m_n (A-Z) [/tex]

Then the mass defect would be ,

[tex]\implies\underline{\underline{\green{ \Delta M = [Zm_p + (A-Z)m_n - M ] }}} [/tex]

where ,

[tex]Z [/tex] = atomic number[tex] A[/tex] = mass number[tex] m_p [/tex] = mass of a proton[tex] m_n [/tex] = mass of a neutron

_______________________________________

Now we know that the Atomic number of Nitrogen is 7(Z) and its mass number is 14(A) .

Now substitute the respective values,

[tex]\implies \Delta M = 7(1.007825) + (14-7)1.008665 - 14.0031 \\ [/tex]

[tex]\implies \Delta M = 7.054775 + 7(1.008665) - 14.00 31 [/tex]

[tex]\implies \Delta M = 7.054775 + 7.060655 - 14.0031 [/tex]

[tex]\implies \Delta M = 14.11543 - 14.0031 [/tex]

[tex]\implies \underline{\underline{\green{ \Delta M = 0.11233 \ u }}}[/tex]

Hence the mass defect is 0.11233 u .

Also this mass defect appears as energy which is responsible for the binding of nucleons together.

and we are done!


Related Questions

i need help
can someone help me
ty

Answers

a.

Answer:

1170cm^3

Step-by-step explanation:

Break it into two prisms. 5 x 9 x 15 and 11 x 3 x 15. Find the volume of each and add.

(5 x 9 x 15) + (11 x 3 x 15)

675 + 495

1170cm^3

b.

Answer:

846cm^2

Step-by-step explanation:

Add each side's area together.

(9x15) + (5x15) + (6x15) + (3x15) + (12x15) + (11x15) + (5x9) + (5x9) + (11x3) + (11x3)

135 + 75 + 90 + 45 + 180 + 165 + 45 + 45 + 33 + 33

846 cm^2

Answer:

(a)1170 cm^3

(b)846 cm^2

Step-by-step explanation:

(a) Rectangle #1= 11 x 3 = 33 cm^2

Rectangle #2 = 5 x 9 = 45 cm^2

Volume = 45 + 33 = 78 x 15 = 1170 cm^3

(b) First find the surface are of all 8 faces in the prism and then add them all.

1st face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

2nd face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

3rd face = 15 x 3 = 45 cm^2

4th face = 15 x 6 = 90 cm^2

5th face = 15 x 9 = 135 cm^2

6th face = 15 x 5 = 75 cm^2

7th face = 15 x 12 = 180 cm^2

8th face = 15 x 11 = 165 cm^2

1st + 2nd + 3rd +4th + 5th+ 6th + 7th + 8th = 846 cm^2

Hope this helps!

Evaluate the following integral on the region R in xy-plane

Answers

An obvious substitution would be to take u = x - y and v = x + 2y, so that 0 < u < 1 (which follows from y = x   ==>   x - y = 0 and y = x - 1   ==>   x - y = 1), and 0 < v < 1.

Solve for x and y in terms of u and v :

u - v = (x - y) - (x + 2y) = -3y   ==>   y = (v - u)/3

2u + v = 2 (x - y) + (x + 2y) = 3x   ==>   x = (2u + v)/3

Compute the Jacobian and its determinant:

[tex]J=\begin{bmatrix}D_ux&D_vx\\D_uy&D_vy\end{bmatrix}=\begin{bmatrix}\dfrac23&\dfrac13\\\\-\dfrac13&\dfrac13\end{bmatrix} \implies |\det(J)|=\dfrac13[/tex]

Now in the integral, we have

[tex]\displaystyle\iint_R\frac{x+2y}{\cos(x-y)}\,\mathrm dx\,\mathrm dy = \frac13\int_0^1\int_0^1\frac{v}{\cos(u)}\,\mathrm du\,\mathrm dv \\\\ \displaystyle= \frac13\left(\int_0^1v\,\mathrm dv\right)\left(\int_0^1\sec(u)\,\mathrm du\right) \\\\ \displaystyle= \frac13\bigg(\frac{v^2}2\bigg)\bigg|_0^1\bigg(\ln|\sec(u)+\tan(u)|\bigg)\bigg|_0^1 \\\\ \displaystyle= \boxed{\frac16\ln(\sec(1)+\tan(1))}[/tex]

10 mugs and 2 plates cost £54
8 mugs and 2 plates cost £46
Write down and solve simultaneous equations

(M is the cost of a mug and p is the cost of a plate, in £

Answers

Answer:

mug = 4

plate = 7

Step-by-step explanation:

10 x + 2y =54

8x + 2y = 46

2x = 8

x = 4

2y = 14

y = 7

why museums are regarded as information resources?​

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

Hello There!!

Step-by-step explanation:

Museums are regarded as information resources because there are historical things and artifacts there.

hope this helps,have a great day!!

~Pinky~

Pls Help I will give Brainliest!

Answers

Answer:

Step-by-step explanation:

For brainlest:)))) answer

Answers

Answer:

0

Step-by-step explanation:

There are not rotational symmetry.

Shen started to run on a treadmill after setting its timer for 93 minutes. The display says that he has finished 69% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.

Answers

Answer:

64.2 minutes

Step-by-step explanation:

We are given that

Shen set timer to run=93 minutes

He has finished his run=69%

We have to find total number of minutes have gone by.

69% of 93

=[tex]\frac{69}{100}\times 93[/tex]

By using

a%[tex]=\frac{a}{100}[/tex]

69% of 93=[tex]\frac{6417}{100}[/tex]

69% of 93=64.17 min

69% of 93[tex]\approx 64.2min[/tex]

Hence, 64.2 minutes have gone by.

A band played an encore at 2 of its last 4 shows. Considering this data, how many of the
band's next 14 shows would you expect to have an encore?
shows

Answers

The answer is 7 hope this helps

The number of times that the band played an encore at 7 out of the next 14 shows.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.

We may use the following percentage to determine how many of the following 14 performances will likely have an encore:

1/2 = x/14

14 = 2x

x = 7

Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

can someone give me the anwser please?​

Answers

Answer:

5/6 + 11/6 = 16/ 6

Step-by-step explanation:

Distance between any Teo labeled tick marks =

(1 - 2/3) / 2 = 1/3 ÷ 2 = 1/3 * 1/2 = 1/6

From the left :

2/3 + 1/6 = 5/6

5/3 + 1/6 = 11/6

5/6 + 11/6 = (5 + 11) / 6 = 16/6

5/6 + 11/6 = 16/ 6

A machine fills boxes at a constant rate.At the end of 35 minutes it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?

Answers

Answer:

7

Step-by-step explanation:

5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
orange.
By what percentage is the grapefruit heavier than the apple?
pls answer

Answers

Grapefruit=108

Orange=100

Apple=90

a) (108-90)/90*100 = 18/90*100=20%

b) (108-90)/108= 18/108*100=16 2/3%

Answer:

The grapefruit is 20% heavier than the orange:)

Step-by-step explanation:

Let the weight of orange be x.

This means that the weight of grapefruit is:

       1.08x

( Since grapefruit is: 8% heavier than orange )

Also, the weight of apple is 10% lighter than apple.

This means that the weight of apple is: 0.90 x

What is the volume of the solid figure?

help pls

Answers

Answer:

B, 4x6x7 and 1x3x3.

Step-by-step explanation:

First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B  is your correct answer.

Please help with this question ive been asking for half an hourrrr

answer asap pls


Ill mark brainlist






f(n) = 10(1.02)n


Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)


Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)


Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

Answers

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

Someone please help, thank you

Answers

Step-by-step explanation:

everything can be found in the picture

Answers:

(a) [tex]n = 2(r+m)[/tex]

(b) [tex]n = \frac{h^2}{9}[/tex]

===========================================

Work Shown:

Part (a)

[tex]\frac{n}{2} - m = r\\\\\frac{n}{2} = r+m\\\\n = 2(r+m)[/tex]

In the second step, I added m to both sides. Afterward, I multiplied both sides by 2 to fully isolate n.

------------------------

Part (b)

[tex]3\sqrt{n} = h\\\\\sqrt{n} = \frac{h}{3}\\\\n = \left(\frac{h}{3}\right)^2\\\\n = \frac{h^2}{3^2}\\\\n = \frac{h^2}{9}\\\\[/tex]

First I divided both sides by 3. After that, I squared both sides. The (h/3) squares to (h^2)/9.

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer:

Step-by-step explanation:

Wage = rate / hr * the number of hours worked.

Wage = ?

rate = 15.45

time = 29.25 hours

Wage = 15.45 * 29.25

Wage = 451.91

Please anybody? Line intergal

Answers

Parameterize the path by

r (x) = (x, x + 2)

with 0 ≤ x ≤ 2. Then

r' (x) = (1, 1)   ==>   ||r' (x)|| = √(1² + 1²) = √2

and the line integral is

[tex]\displaystyle\int_Lxy\,\mathrm ds=\sqrt2\int_0^2x(x+2)\,\mathrm dx=\boxed{\frac{20\sqrt2}3}[/tex]

Yam
190
Groundnuts
90
Vegetables
30. What is the ratio of the land used
for groundnuts to the land for
vegetables

Answers

Answer:

3:1

Step-by-step explanation:

90:30 simplified is 3:1

Evaluate the integral.

∫ 17/ (x^3 − 27) dx

Answers

Answer:

??????????????????????????

2 sin x cos x – sin x = 0

Answers

Answer: PiN, Pi/3+2PiN, 5Pi/3+2PiN

Step-by-step explanation: Use formula sheet

To find the percentage, what I did was that I divided 55 and 163 and the answer I got was 33%. However, my answer was incorrect. Because my answer was incorrect, how do I go about this problem?

Answers

Answer:

200

Step-by-step explanation:

You were right to divide 55 by 163. The problem, however, asks for the answer to be rounded to the nearest tenth.

Therefore, 55 / 163 = 0.3374 = 33.7%

Hope this helps!

An College student complained that the cost of textbooks was too high. She randomly surveyed 36 other students and found that the mean amount of money spent for textbooks was $121.60. If the standard deviation of the population was $6.36, find the best point estimate. Show your work.

Answers

Answer:

The best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Step-by-step explanation:

Best point estimate:

The best point estimate of a population mean is the sample mean.

In this question:

The sample mean amount of money spent for textbooks was $121.60, which means that the best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.

Answers

Answer:

this probability is 0.68

Step-by-step explanation:

the probability she buys fruit but not a CD is

0.6 × (1 - 0.2) = 0.48

the probability she buys a CD by not fruit is

0.2 × (1 - 0.6) = 0.08

the probability that she buys both is

0.6 × 0.2 = 0.12

the probability that she buys fruit or a CD or both is adding all 3 probabilities :

0.48 + 0.08 + 0.12 = 0.68

PLEASE HELP!! will give brainliest!!

Suppose cos(x) = 1/sqrt5 and sin(x) > 0. What is the value of tan(2x)?

Answers

-4/3

For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

Write this ratio as a fraction in simplest form without any units. 6 weeks to 49 days You can use the table below to help convert the units.​

Answers

Step-by-step explanation:

6 weeks : 49 days

42 days : 49 days

42/49(HCF is 7, so divide both values by 7)

that will equal to 6/7

A money box contains only 10-cent
and 20-cent coins. There are 33
coins with a total value of $4.60.
How many coins of each?

Answers

Answer:

Below in bold.

Step-by-step explanation:

x + y = 33      where x = 10 cent coin and y = 20 cent coin

10x + 20y = 460

Multiply first equation by 10:

10x + 10y = 330

Subtract this from the second equation:

10y = 130

y = 13

So there are 13 20c coins

and 33 - 13 = 20 10c coins.

20 ten cents and 13 twenty cents
This is a real logic problem you just need to trial and error

A binary operation is defined on the set of real numbers ℝ by

x ∆ y = x²− 2xy + y
²

; x, y ∈ ℝ.

i. Find m such that 2 ∆ − 5 = √m

ii. Simplify ((n+1) ∆ y)/n


; n ≠ 0​

Answers

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

giving brainliest to whomever answers correctly!​

Answers

Answer:

B: A systematic random sample

Step-by-step explanation:

Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Is -40/8 positive or negative?

Answers

Answer:

Negative. The answer gives - 5

Answer:

Negative

Step-by-step explanation:

-40/8 is equivalent to -5. Since -5 or "negative five" is negative (as it states), the equation is negative.

What is the correct written expression for the variable expression: (3 - x)/7
3 divided by the difference of 7 and x
or
the difference of 3 divided by 7 and x

Answers

Answer:

3 divided by 7 and x=-1.5*x

Step-by-step explanation:

What is the probability of rolling a number greater than 0 on a six-sided die? Someone pls help it’s urgent!!

Answers

Answer:

6/6=1

Step-by-step explanation:

There are six sides on a die and you have six total outcomes. Hope this helps! :)

That would give you a 100% chance since all of the numbers on the die are greater than 0. Or 6/6.
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Roosevelt supported the repeal of prohibition becausea. he thought it was unconstitutional.b. he believed the problem of drunkenness could be solved by restricting alcohol content to 3.2 percent by weight.c. he thought that it afforded the opportunity to raise needed federal revenue and provide jobs.d. he needed support from the repeal movement to gain reelection.e. drys - those who opposed alcohol - were an increasingly small segment of the population. Helpp..,;;;,.:;,,,,,,, Name the marked angle in 2 different ways. The black graph is the graph of y= f(x). Choose the equation for the red graphwhich one: a, b, c, d? 12ptParagraph2 Based in the most recent data available, what percent of registered voters affiliate with a political party otherthan the Democratic or Republican? (NOTE: Provide your answer in numeric, percentage form and round up tothe nearest tenth, i.e. 60.46, you would indicate, 60.5%) (2 points) Which of the following describes the relationship between filibuster and cloture?OAA filibuster can be used to end a cloture.OBA cloture is a motion to start a filibuster.A filibuster forces a debate after a cloture.D.A cloture can be used to end a filibuster. El verbo tiene dos partes, la terminacin y la raiz. Cul verbo NO est divido correctamente ? A. comie -ron B. camin -asteC. trat- aronY porque.Gracias Anempt 1012Find the mean for the given set of data.-4,-3,-1,-1, 0,1 Suppose x and y are sets such that XuB=(-8,-4,-2,0,2,4,6,8), XnY =(-2,0,2) and X/Y =(-8,8) on this basis which of the following is not true Lardo Inc. plans to build a new manufacturing plant in either Country X or Country Y. It projects gross revenue in either location of $4 million per year. Operating expenses would be $1.5 million in Country X and $1.8 million in Country Y. Country X levies income tax at a rate of 20 percent on net business income. Country Y does not have an income tax, but assesses a 10 percent tax on gross revenue, without allowance for any deductions. a. Calculate the after-tax profit for each country. b. In which country should Lardo build its new plant? An object is 70 micrometer long and 47.66 micrometer wide. How long and wide is the object in km Members of a lacrosse team raised $1352.50 to go to a tournament. They rented a bus for $802.50 and budgeted $25 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament. 5)A 2.0-meter length of copper wire is connected across a potential difference of 24 millivolts.The current through the wire is 0.40 ampere. The same copper wire at the same temperatureIs then connected across a potential difference of 48 millivolts. The current through the wireisA)0.20 AB)0.80 AC)1.6 AD)0.40 A help me with this pleaseI need number 4 plz You provide desktop support for a small company. The company has two locations in the same city, but they are several miles away. You get a call from a user who is having problems installing a new device. You try to tell the user how to update the driver for the device over the phone, but he is having a hard time understanding your directions and is becoming frustrated.What should you do?A. Tell the user to wait until you are scheduled to be in that location.B. Escalate the call to another technician or your supervisor.C. Drive to the other location as soon as possible and update the driver.D. Establish a Remote Desktop connection and update the driver. Identify the substance which has same number of molecules in 14g N2a) 3.4g NH3b) 15g NOc)64g O2d) 32g SO2e)1g H2 what effect do these words and phrases from this passage have on the story? "i scarcely need remind the reader" "yet so vain is man, and so blinded by his vanity" " the immediate pressure of necessity" and " to carry warfare sunward is, indeed, their only escape from the destruction that... creeps on them" A.) they create a sense of suspense. B.) they create a sense of warmth and comfort. C.) they create a sense of peacefulness. D.) they create a sense of knowledge and understanding. Should homework occupy all the free time of college students? Write an absolute value function that shifted 2units right.HELPPPP This is due for Tuesday please help.