What is the linear size of the smallest box in which you can confine an electron if you want to know for certain that the uncertainty in the electron’s speed is no more than 13 m/s?
L = ?
What is the linear size of the smallest box in which you can confine an electron...
What is the linear size of the smallest feature on the moon you could resolve with a Galilean telescope that has an objective lens with a diameter of 58.0 mm? Assume that the resolution would be diffraction limited and that the moon is 380,000 km away. Take the wavelength of light as 550 nm, which is near the peak of our sensitivity. Please include units of answer.
The linear dimension (size) of the smallest observable thing in a microscope is called the resolution of the microscope. A conventional visible-light microscope has a resolution of approximately the wavelength of the light used. Similarly, an electron microscope has a resolution equal to approximately the de Broglie wavelengths of electrons used. a) In order to observe individual atoms, a resolution limit of 50 pm is required. What energy photons is required for this resolution? In what part of the electromagnetic...
According to the Heisenberg uncertainty principle, what is the minimum possible 1D box size (L) capable of trapping an electron (me = 9.109 × 10−31 kg)
1) What is the length of a box in which the minimum energy of an electron is 1.6×10−18 J ? L= ____________nm 2) A proton is confined within an atomic nucleus of diameter 4.3 fm (1fm=10−15m). Estimate the smallest range of speeds −v0<vp<+v0 you might find for a proton in the nucleus. Express your answer with the appropriate units.
please explain, thank you! The electron beam in a certain electron microscope produces electrons with a kinetic energy of 173 keV. What is the de Broglie wavelength of these electrons (and hence the size of the smallest thing this microcope can "see")? Again, you will need to use relativity. m(+2E-14 m)
What is the de Broglie wavelength (in meters) of a neutron traveling at a speed of 0.92 c? Since the neutron's speed is close to the speed of light (c), Special Relativity must be used when calculating the linear momentum (p). The mass of the neutron is 1.675 x 10-27 kg. Suppose that an alpha particle (mαα = 6.646 x 10-27 kg) has a kinetic energy of 75 keV. What is the alpha particle's speed (v) (in terms of "c")?...
5. (a) Assume that an electron is moving along an x-axis with a speed of u = 3.080 x 10-m/s measured to a precision of 0.6%. What is the minimum uncertainty (as allowed by the uncertainty principle in quantum theory) with which you can simultaneously mea- sure the position of the electron along the c-axis? Note that the electron mass is m = 9.110 x 10-31 kg. (b) The speed of a bullet is known to a precision of 0.43%....
3. What is the smallest size of features on the moon can you observe using a 6-inch-aperture telescope such as the one shown on the left (Orion StarBlast 6, https://www.amazon.com/dp/B00463ZK30)? The moon is an average of 384,400 km away.
On a banked race track, the smallest circular path on which cars can move has a radius of 103 m, while the largest has a radius 161 m, as the drawing illustrates. The height of the outer wall is 18 m. Find the smallest speed at which cars can move on this track without relying on friction. X m/s Find the largest speed at which cars can move on this track without relying on friction, m/s
Question 3: Quantum (10 pts) The quantum energy levels of an electron in a box of length of Lare given by En = n2h2/8mL2 where n = 1, 2, 3, ..., h is Planck's constant and m is the mass of an electron. What is the smallest value that I can have if an excited electron in the box possibly produces visible light? Give you answer in units of meters or nanometers.