Question

please answer both questions, thank you!!

A proton has a kinetic energy of 7.5 MeV. What is the speed of an alpha particle that has the same DeBroglie wavelength as the proton? The mass of the alpha particle is 6.65E-27 kg. O 9517 m/s 09.53E6 m/s O 1833 m/s 0 2.38E13 m/s O 0.747 m/s Question 22 5 pts How does the DeBroglie wavelength of the electron in the ground state of a hydrogen atom compare to the DeBroglie wavelength of the electron when it's in a 2p state? The DeBroglie wavelengths of the two electrons are equal. The DeBroglie wavelength of the electron in the ground state is greater than that of the electron in a 2p state. The DeBroglie wavelength of the electron in the ground state is less than that of the electron in a 2p state. There is no way to compare the DeBroglie wavelengths of these two electrons.

Answer 1

Sala 7 kg kinetic Energy of boton, K = 7.5 Meu 1.20x10-12 mass of proton, mp=1067x1027 mass of alphe particle Ma= 6.65 1027 de B Brogle of proton da h 6.6 3.x10-39 (2x1-6781034 x l-zoxiozzy'? kg - -d wavelength am ſamk m A = 1.047 X10 44 d h mu (for alpha particle) 1.047 x 154 6.6 3410034 6.65810 27x0 V = 9.53 xlog mis RS spood of U = 9.53 E6 ms alpha particle

Solº 22: Electron Ground state Energy of Eo = -13.6ev Energy of election in a 2p state E, = -1366 o n=2 h2 E, a 3.4 ev KoE= - E (KE), at ground state ollos Ko = 13.6ev kia 3.4ev wavelength, d = zmk n De brogli da tik Jk Greater the energy Less is be-brogle wavelengte di > do :- Brogle wavelength in ground state less than wavelength in zip state 3rd option