Concept explainers
The radius of circular electron orbits in the
(a)
The centripetal acceleration of an electron in the ground state of the Bohr hydrogen atom.
Answer to Problem 79PQ
The centripetal acceleration of an electron in the ground state of the Bohr hydrogen atom is
Explanation of Solution
Write the expression for the centripetal acceleration.
Here,
Use
Here,
Conclusion:
Substitute
Centripetal acceleration is directed towards the nucleus that is its acts inward.
Therefore, the centripetal acceleration of an electron in the ground state of the Bohr hydrogen atom is
(b)
The magnitude and direction of the centripetal force acting on an electron in the in the ground state.
Answer to Problem 79PQ
The centripetal force acting on the electron in the ground state is
Explanation of Solution
Write the expression for the centripetal force.
Here,
Use equation (II) in (III) to rewrite (III).
Conclusion:
Substitute
Centripetal force is directed towards the nucleus, that is its acts inward.
Therefore, the centripetal force acting on the electron in the ground state is
(c)
The magnitude and direction of the centripetal force acting on an electron in the in the ground state.
Answer to Problem 79PQ
The centripetal force acting on the electron in the
Explanation of Solution
Rewrite equation (IV).
For second excited state
Conclusion:
Substitute
Therefore, the centripetal force acting on the electron in the
Want to see more full solutions like this?
Chapter 6 Solutions
EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC
- What is the answer for 206.7 +0.28 × 0.439 with the correct number of significant figures? (q122) a) 206.82 b) O206.823 c) O206.8229 d) O206.8arrow_forwarda. 2πR2+2πRh2πR2+2πRh b. 2πR2+2πh2πR2+2πh c. πR2hπR2h d. πD2+πDhπD2+πDh e. 2πR+2πRharrow_forwardNo object can go beyond the speed of light. But in 1905, Albert Einstein postulated that the mass of any material can be measured in terms of the speed of radiant energy given by the famous equation, E = mc^2. Which of the following statement/s is/are TRUE? I Mass can be thought of as a form of energy. Il Any change in energy will result in to a change in mass. II Mass and energy are convertible from one to another. IV Mass and energy are two different forms of energy. a. II & III b. 1 & I C. I, II & III d. II, III & IVarrow_forward
- What is the value of n+r/(2.000) 2, written with the correct number of significant figures? O 3.92699 O 3.9269 O 3.9270 O 3.927 O 3.93arrow_forwardEnergy in the sun is produced by the fusion of four hydrogen atoms into a helium atom. The process involves several steps, but the net reaction is simply 41H → 4He + energy. Given this, you can say thatA. One helium atom has more mass than four hydrogen atoms.B. One helium atom has less mass than four hydrogen atoms.C. One helium atom has the same mass as four hydrogen atoms.arrow_forwardQ. 3. Accelerated charge particles emit electromagnetic radiations. A particle having charge q and acceleration a radiates energy at a rate given by dE q²a²/6n€,c³ dt Where c is speed of light. (a) f a proton with kinetic energy 9.6x1013 J is accelerated in a circular orbit of radius 0.75 m, what fraction of its energy does it radiate per second? (b) If an electron is accelerated in the same orbit with the same speed, what fraction of its energy does it radiate per second?arrow_forward
- A light-vear is the distance that light travels in one year. The speed of light is 3.00 x 108 m/s. How many miles are there in one light-year? (1 mi = 1609 m, 1 y =365 d) 5.88 x 1015 mi O 9.46 x 1012 mi 5.88 x 1012 mi O 9,46 x 1015 miarrow_forwardAll the stars of the Big Dipper (part of the constellation Ursa Major) may appear to be the same distance from the earth, but in fact they are very far from each other. the figure shows the distances from the earth to each of these stars. The distances are given in light-years (ly), the distance that light travels in one year. One light-year equals 9.461 × 1015 m.. Dubhe 105 ly Megrez 81 ly Mizar 73 ly Alioth Merak 64 ly ע דר Alkaid Phad 138 ly 80 ly Part A Alkaid and Merak are 25.6° apart in the earth's sky. Find the distance in light- years from Alkaid to Merak. Express your answer in light-years. ΑΣφ ? ly Submit Request Answer Part B To an inhabitant of a planet orbiting Merak, how many degrees apart in the sky would Alkaid and our sun be? Express your answer in degrees. ? Submit Request Answerarrow_forward1. Find E at (0, 0, 5) m due to Q1 = 0.35 µ C at (0, 4, 0) m and Q2 = -0.55 µ C at (3, 0, 0) m (see the figure). E,E, 7. R, R, of (0, 4, 0) (3,0, 0)arrow_forward
- Uranium-238 decays via the alpha decay process. Part (a) Calculate the energy released in units of megaelectron volts when a uranium-238 nucleus undergoes alpha decay. Part (b) What fraction of the mass of a single uranium-238 nucleus is destroyed in the decay? Part (c) Why is difficult to observe the change in mass for a macroscopic sample of uranium-238?arrow_forwardE. coli cell in 1/10 of a second. If the length of an E. coli cell is 1500 nm, how fast does the water molecule travel in mph? 1 mile = 1.609 km.arrow_forward1%A9 li. t LTET 4G+ Vol) O A X O U 9:-7 Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- Az = 3 ,A, = -2 b- B, = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 to do this. force to push his car along a road for 1000 m. It takes him500 s a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated. IIarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning