An electron in the n = 1 energy orbital of the hydrogen atom has an angular momentum of magnitude 1.055 x 10-34 J-s and an orbital radius of 5.292 x 10-1l m. The electron's mass is 9.11 x 10-31 kg. What is the electron's speed v in this orbital? U = m/s
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- (i) Does the speed of an electron have an upper limit? (a) yes, the speed of light c (b) yes, with another value (c) no (ii) Does the magnitude of an electrons momentum have an upper limit? (a) yes, mec (b) yes, with another value (c) no (iii) Does the electrons kinetic energy have an upper limit? (a) yes, mec2 (b) yes, 12mec2 (c) yes, with another value (d) noA star has initially a radius of 780000000 m and a period of rotation about its axis of 22 days. Eventually it changes into a neutron star with a radius of only 25000 m and a period of 0.1 s. Assuming that the mass has not changed, find Assume a star has the shape of a sphere. (Suggestion: do it with formula first, then put the numbers in) [Recommended time : 5-8 minutes] (a) the ratio of initial to final angular momentum (Li/Lf) a. 1.85E+16 b. 51.2 c. 0.0195 d. 5.4E-17 (b) the ratio of initial to final kinetic energy a. 2.84E-24 b. 371000 c. 2.69E-6 d. 3.52E+23In a hydrogen atom, the electron is at a distance of 4.768 Å from the nucleus. The angular momentum of the electron is......
- A star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=lw; w=2πf=2π/T; Isphere=2/5mr2 How much angular momentum Li does the star have before it collapses? Group of answer choices: A)riTi B)mr2i C)mivi D)Iiwi What is the rotation rate wi of the star before collapsing? Group of answer choices A)riTi B)mr2i C)2π/Ti D)2πfi Suppose we model the star as a solid sphere of radius ri with moment of inertia 2/5mr2i (a good assumption). What does our description of Li read now? Group of answer choices A)2/5mr2i(2πfi) B)2/5mr2i(2π/Ti) C)2/5mr2i(mr2i) D)2/5mr2i(riTi) How much angular momentum Lf does the star have after it collapses? Group of answer choices A)mfvf B)rfTf C)I fwf D)mr2f What is the rotation rate wf of the star after collapsing? Group of answer choices A)2π/Tf…4. A magnetic field of 5.00 T is applied to a bubble chamber to make the tracks of electrons identifiable by the radius of the circles they move in. If a high-energy electron moves along an arc of a 6 cm circle, what is angular momentum of the electron? [q = 1.60 1019 C, m = 9 1031 kg]a) A proton (p) of mass 1.43-u(unified atomic mass units) traveling with a speed 4.13 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision? (As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space. b) A proton (p) of mass 2.48-u(unified atomic mass units) traveling with a speed 2.64 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision? (As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space.
- v0=70 a=12 d=0.5 A=6 B=2 M=1 N=4 X0=7 Y0=1Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. The density of a neutron star is roughly 1014 times as great as that of ordinary solid matter. Suppose we represent the star as a uniform, solid, rigid sphere, both before and after the collapse. The star’s initial radius was 7.0 * 105 km (comparable to our sun); its final radius is 16 km. If the original star rotated once in 30 days, find the angular speed of the neutron star.Determine the speed of an electron that has a kinetic energy of 5 eV. a. 1.33 x 106 m/s b.3.00 x 108 m/s c.2.66 x 106 m/s d.5.00 m/s
- Not sure what I'm doing wrong. I know that Fc= (m)(v^2/r) with: m= 0.0011kg r=0.84/2 Fc=3.9N but when I plug all that into the equation, I'm being told it's wrong. What am I missing?What is the total energy (or mass) of the hydrogen atom in its ground state? a) 13.6 eV b) .511 MeV c) mpc^2 + mec^2 d) mpc^2 + mec^2 +.511 MeV e) mpc^2 + mec^2 +13.6 eV f) mpc^2 + mec^2 -13.6 eVFollowing are four possible transitions for a hydrogen atom I. ni= 2; nf = 5 II. ni= 5; nf =3 III. ni =7; nf =4 IV. ni = 4; nf =7 (a) Which transition will emit the shortest - wavelength photon? (b) For which transition will the atom gain the most energy? (c) For which transition(s) does the atom lose energy?