If the electron is positioned in the region of width 10-12 m then calculate the time constant of the wave packet. (a) 1.1x10-19 s (b) 1.7x10-20 s (c) 8.5×10-2" s (d) 3.4x10-20 s
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- A pair of students measure the intensity of light from a desklamp in Sec. 4.5 of the experiment. When the detector is 25 cm from the lamp, the signal measured by the detector is 0.74 V. How large a signal (in V) do the students expect when the detector is 53 cm away?A nucleon (proton or neutron) is confined to a region of space (the nucleus) approximately 10 fm across. Assuming the momentum of a nucleon is roughly equal to the uncertainty in its momentum, estimate the nucleon's kinetic energy. Does this seem like a reasonable result?A 4.0 mg insect is observed to be stationary with an uncertainty of 0.1 mm. What is the uncer- tainty in the insect's velocity?
- What is the minimum uncertainty in position, in nm, of an electron whose velocity is known to be between 2.96x105 m/s and 3.08×105 m/s ? Express your answer using two significant figures. Vη ΑΣφ x" х.10п 9.7 nm Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remainingWhat constraints does the uncertainty principle place on our knowledge of the world? To get a sense of scale, we’ll look at the uncertainty in speed for a confined electron and for a confined dust particle.a. What range of velocities might an electron have if confined toa 0.30-nm-wide region, about the size of an atom?b. A 1.0@mm@diameter dust particle (m ≈ 10-15 kg) is confined within a 5-μm-long box. Can we know with certainty if the particle is at rest? If not, within what range is its velocity likely to be found?(a) The position of an electron is known to within 14.5 Å (1.45×10-9 m). What is the minimum uncertainty in its velocity?(b) Repeat the calculation of part (a) for a helium atom.
- Electrons with an energy of 0.842 eV are incident on a double slit in which the two slits are separated by 40.0 nm. What is the de Broglie wavelength (in nanometers!) of these electrons?An elementary particle has a very short lifetime, 1.34 x 101 s. What is the minimum uncertainty with which we can measure its energy? Please give your answer in electron Volts.