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Find the deBroglie wavelength of a 1.36 kg object moving at 31.44 m/s. Give your answer with three decimal places as a multiple of 10-34 m.
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- What is the de Brogue wavelength of an electron that is accelerated from rest through a potential difference of 20 keV?An X-ray tube has an applied voltage of 100 kV. (a) What is the most energetic X-ray photon it can produce? Express your answer in electron volts and joules. (b) Find the wavelength of such an X-ray.What is the velocity of an electron with a deBroglie wavelength of 2.74 um ? Give your answer in m/s with no decimal places please.
- The root mean square speed of the hydrogen molecules at temperature t °C is given by 3x8.31 x (t+273) m 2 x 10-3 Calculate the de Broglie wavelength (in nanometers) of the hydrogen molecules at temperature 24 °C. The mass of the hydrogen molecule is 2 x 1.66 x 10-27 kg. Use two decimals in your answer.Use the worked example above to help you solve this problem. (a) Compare the de Broglie wavelength for an electron (me = 9.11 10-31 kg) moving at a speed of 1.11 107 m/s with that of a baseball of mass 0.145 kg pitched at 44.7 m/s. ?e = m ?b = m (b) Compare these wavelengths with that of an electron traveling at 0.999c. m EXERCISEHINTS: GETTING STARTED | I'M STUCK! Find the de Broglie wavelength of a proton (mp = 1.67 10-27 kg) moving with a speed of 1.11 107 m/s.?p = mASK YOUR (a) What is the de Broglie wavelength (in m) of an electron moving at a speed of 3.03 x 104 m/s? (b) What is the de Broglie wavelength (in m) of an electron moving at a speed of 2.01 x 10° m/s? Need Help? Read It
- The De Broglie wavelength of 1 mg grain of sand blown by a wind at the speed of m/s is .... (h = 6.63 × 10-34 S.I. unit) (а) 33.15 х 10 36 m (b) 33.15 х 10-33 (c) 33.15 × 10-30 m (d) 33.15 x 1030 mAn X-ray photon moving along the x-direction is scattered by a stationary electron. The initial frequency of the photon is fi = 8 x 10t° Hz and the final frequency is fr = been scattered. In other words finesthe angle 0 that the outgoing photon makes with respect to the x-axis. Give your answer in degrees to 3 significant figures. Sketch a diagram showing the directions of the initial and final momenta. 7.75 x 1018 Hz. Find the direction of the photon's momentum after it hasA) Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one six hundredth of the speed of light (c/600). Enter at least 4 significant figures. (I got the answer 949.4 pm but it is wrong, please help) B) Calculate the velocity of an electron (me = 9.10939×10-31 kg) having a de Broglie wavelength of 230.1 pm.
- Consider the Bohr model of the doubly ionized lithium ion (3 protons) with a single electron. The ground state energy is -122.4 ev What is the kinetic energy for the electron in orbit? eV Write down the relationship between the kinetic energy K, the momentump and the mass m K= write your answer as a formula, e.g. z=x^4/3y Use these to find the de Broglie wavelength of the electron in this orbit: The de Broglie wavelength is nm If the electron is actually a standing wave, what radius does this suggest for the electron's orbit? ro = nm Assuming classical uniform circular motion for the electron in the Coulomb potential at the radius computed above, what is the total energy of the atom? The potential energy is Oze?/(4tte ro) Ze2/ (4πε ro) O-ze?/(8te ro) Oze/ (8πε r0) The kinetic energy is Οze2/ (4πε r0 ) Ο-Ze2/ (4πε r0) O-Ze2/(8ne r0) Οze2/ (8πε r0) The total energy is Oze2/ (4πε r ) O-Ze2/(4ne r0) O-Ze2/(8te r0) OZe2/ (8πε r0) Hence the total energy is evWhat is the de Broglie wavelength of a electron that is moving at 8.77 x 105 m/s? Please give your answer in nanometers.In a photoelectric experiment it is found that a stopping potential of 1.00 V is needed to stop all the electrons when incident light of wavelength 225 nm is used and 1.5 V is needed for light of wavelength 207 nm. From these data determine Planck's constant. (Enter your answer, in eV s, to at least four significant figures.) 4.2367e-15 X ev s From these data determine the work function (in eV) of the metal. 4.6 X ev