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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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- The work function for potassium is 2.26 eV. What is the cutoff frequency when this metal is used as photoelectrode? What is the stopping potential when for the emitted electrons when this photo electrode is exposed to radiation of frequency 1200 THz?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.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 = m
- 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 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 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 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.An 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
