3 answers

Consider a model of a hydrogen atom in which an electron is in a circular orbit...

Question:

Consider a model of a hydrogen atom in which an electron is in a circular orbit of radius r = 5.84


Answers

The speed of the electron in the orbit is

v = nh/ 2 pi m r = 1( 6.63 * 10 ^-34 Js)/ 2 pi ( 9.1 * 10 ^-31 kg) (5.84 * 10 ^-11 m)

=1.98* 10 ^ 10 m/s

.

F = qE = -m(v^2/r)
(note acc. is minus because its towards the centre)


so qE = -m(v^2/r) here q =e charge of proton =1..6*10^-9 m =mass of electron =9.109*10^-31kg and k =9*10^9 constant

E =-k e /r^2

ke^2/(r^2) =mv^2/r

put the value

(9*10^9)(1.6*10^-19)^2 / (5.84*10^-11)^2 =(9.109*10^-31) v^2 /(5.84* 10^-11)

after solving

v =6.58*10^6 m/s answer



.

apply Kinetic energy KE = chnage in pE

i.e 0.5 mv^2 = Kq1q2/r

where m is mass of electron

v is speed = ?


K is consatnt = 9e9

q1 q2 are the magnitudes of charges = 1.6 e-19 C each

and r is distancr = 5.84 e-11 m

so

speed v^2 = 2Kq1q2/mr


v^2 = 2* 9e9 * 1.6 e-19*1.6 e-19/(9.11e-31 * 5.84 e-11)

v^2 = 8.166 *10^12

v = 2.048 *10^6 m/.s ---------------<<<<<<<<answer

.

Similar Solved Questions

1 answer
16a: An "are" of radius R and linear charge density λ-Xo sin φ lies in the...
16a: An "are" of radius R and linear charge density λ-Xo sin φ lies in the xy plane. It extends an angle of o above and below the x-axis. Determine the electric field at the origin. b: Determine the z-component of the electric field at the point (0,0, zo) but this time assume that...
1 answer
Category Prior year Current year Accounts payable 41,400 45,000 Accounts receivable 115,200 122,400 Accruals 16,200 13,500...
Category Prior year Current year Accounts payable 41,400 45,000 Accounts receivable 115,200 122,400 Accruals 16,200 13,500 Additional paid in capital 200,000 216,660 Cash ??? ??? Common Stock @ par value 37,600 42,000 COGS 131,400 172,391.0...
1 answer
This Question: 2 pts 14 of 33 (12 complete) This Test: 66 pts possible Question Help...
This Question: 2 pts 14 of 33 (12 complete) This Test: 66 pts possible Question Help A new vehicle was purchased on January 1 for $44,000. It has a salvage value of $7,000 and a useful life of 5 years. To the nearest dollar, how much will the depreciation expense for the vehicle be for the first yea...
1 answer
For dinner, Marcus consumes 175 grams of carbohydrate, 60 grams of protein, and 20 grams of...
For dinner, Marcus consumes 175 grams of carbohydrate, 60 grams of protein, and 20 grams of fat. In addition, Marcus decides that he wants a glass of wine with his meal. If he drinks one glass of wine containing 8 grams of alcohol, how many total kilocalories (kcal) does he consume in this meal?...
1 answer
Find the general solution. 15. (t) = 10 0 21 -2 | r(t) 32 -1
Find the general solution. 15. (t) = 10 0 21 -2 | r(t) 32 -1...
1 answer
How do you write the point slope form of the equation given (3,4) and (-7,4)?
How do you write the point slope form of the equation given (3,4) and (-7,4)?...
1 answer
Sarah purchased 100 shares of General Electric stock at a price of $61.51 three months ago....
Sarah purchased 100 shares of General Electric stock at a price of $61.51 three months ago. She sold all stocks today for $51.98. During the year the stock paid dividends of $3.47 per share. What is Sarah’s holding period return Round the answers to two decimal places in percentage form....
1 answer
Here is one word problem: You commute 56 miles one way to work
Here is one word problem: You commute 56 miles one way to work.The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home? Thanks a tone! Jenn...
1 answer
For blackbody radiation obeying Planck's distribution law show by direct computation that the energy fluctuation for...
For blackbody radiation obeying Planck's distribution law show by direct computation that the energy fluctuation for radiation in a volume V in the spectral interval is given by Einstein's fluctuation formula: Please show all steps (u,v + du) ((AE)2) = V (hvu, + envz uz) dv where u,dv is t...
1 answer
#4 which of the following represent the final product of the below aldol condensation reaction ?...
#4 which of the following represent the final product of the below aldol condensation reaction ? the IR of the product does not have a broad peak around 3300 wavenumbers Which intermediates are formed during the mechanism of the below reaction? Select all that apply. 2 й — ДА...
1 answer
Obesity is an ever-growing problem in our society. You have been asked by your local government...
Obesity is an ever-growing problem in our society. You have been asked by your local government to work on a task force to educate your community on nutrition and the impact it has on their overall health. There is an upcoming community fair and you will be the guest speaker. Your team has decided t...
1 answer
Question 12 3.6 pts Two parallel wires, 7.1 cm apart, carry currents of 4.4 A and...
Question 12 3.6 pts Two parallel wires, 7.1 cm apart, carry currents of 4.4 A and 7.7 A respectively, in opposite directions. What is the force per unit length (μΝ/m) of one wire on the other? Round your answer to the nearest whole number. Use a negative sign to indicate a repulsive force, and...
1 answer
Equilibrium Constants
(1) For the reaction:2A(g) + 3B(g) <==> C(g)Kc=51.0 at a temperature of 311 degrees CCalculate the value of Kp(2) For the reaction:X(g)+2Y(g)<==>2Z(g)Kp=2.18*10^-2 at a temperature of 195 degrees CCalculate the value of Kc...
1 answer
Compare the United States and China's Macroeconomic Outlook?
Compare the United States and China's Macroeconomic Outlook?...
1 answer
63. A crane's trolley at point P in Fig. 4-63 moves for a few seconds to...
63. A crane's trolley at point P in Fig. 4-63 moves for a few seconds to the right with constant acceleration, and the 870-kg load hangs on a light cable at a 5.0° angle to the vertical as shown. What is the acceleration of the trolley and load? 5.0° FIGURE 4-63 Problem 63 at 1oo 8 (III)...
1 answer
Age and Gender 1) 2) 3) 4) 5) Diastolic Blood Pressure and Systolic Blood Pressure 1) 2) 3) 4) 5) Gender and Measured Weight 1) 2) 3) 4) 5) Measured Height and Gender 1) 2) 3) 4) 5) Measure...
Age and Gender 1) 2) 3) 4) 5) Diastolic Blood Pressure and Systolic Blood Pressure 1) 2) 3) 4) 5) Gender and Measured Weight 1) 2) 3) 4) 5) Measured Height and Gender 1) 2) 3) 4) 5) Measured Height and Measured Weight 1) 2) 3) 4) 5) Systolic Blood Pressure and Measured Height 1) 2) 3) 4)...
1 answer
Agave Company decided on February 1st to dispose of its Tequila Distilling division. Agave sold the...
Agave Company decided on February 1st to dispose of its Tequila Distilling division. Agave sold the Tequila Division on September 1st for a sales price of $440,000 but had to pay $20,000 in sales commissions. At the time of the sale, the division had a book value of $300,000. In the time between Feb...