Use the uncertainty principle to show that if an electron were confined inside an atomic nucleus of diameter on the order of 10-14 m, it would have to be moving relativistically, whereas a proton confined to the same nucleus can be moving nonrelativistically.

Q: Show that the spread of velocities caused by Heisenberg uncertainty principle does not have…

A: Uncertainity principle was the first big step towards quantum world. It was this principle which led…

Q: If light of wavelength, 2 = 4000 A and intensity 100 W/m² incident on a metal plate of threshold…

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Q: If an electron's position can be measured to an accuracy of 1.93E-8 m, how accurately can its…

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Q: An electron is moving with a speed of 5 x 10^6 m/s (± 2 x 10^-2 m/s). Using thisinformation,…

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Q: If an electron's position can be measured to a precision of 3.0 × 10¬8 m, how precisely can its…

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Q: Find the de Broglie wavelength of a 1500kg car when its speed is 80km/h. How significant are the…

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Q: Find the ratio of de-Broglie wavelengths associated with two electrons accelerated through 25 V and…

A: The de Broglie wavelength in terms of potential is given by  λ =12.27VAo

Q: Suppose the velocity of an electron in an atom is known to an accuracy of 2.0 X 103 m/s (reasonably…

A: Given: △v=2×103 m/s mass of an electron, m=9.1 ×10-31 kg

Q: Calculate the(a) momentum, and(b) de Broglie wavelength of the electrons accelerated through a…

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Q: Calculate the uncertainty in momentum for a proton confined to a nucleus of radius 5.0 fm.

A: Using Heisenberg's uncertainty principle, ∆x∆p≥h4π∆p≥h4π∆x

Q: (3.0 ± 0.2) cm, y = (4.2 ± 0.6) cm. Find z = x - (y/2) and its uncertainty. (show all work)

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Q: The speed of a certain proton is 350 km s-1. If the uncertainty in its momentum is 0.0100 per cent.…

A: Write the given values, and determine the uncertainty in the momentum of a proton as follows. v=350…

Q: w = (4.52 ± 0.02) cm, x = (2.0 ± 0.2) cm. Find z = w /x and its uncertainty. (show all work)

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Q: Use de Broglie wavelength of a relativistic particle, compute the wavelength of a 1 MeV electron.

A: Given The energy of the Electron is E=1 MeV. Convert energy of 1 MeV to J, E= 1× 106 eV.  = 106…

Q: Calculate the minimum uncertainty in the speed of a ball of mass 500 g that is known to be within…

A: According to uncertainty law, mΔvΔx=h4π m=500 g=0.5 kg Use the given values, 0.5Δv1.0×10-6…

Q: If we know the velocity of an electron to within 3.5 x 107 m/s, then what is the uncertainty in its…

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Q: A sample of a diatomic gas is kept at 294 K in a 17,735 cm3 cubical container. Calculate the minimum…

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Q: What do you understand by the wave-particle duality? Estimate the de Broglie wavelength of an…

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Q: Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00 µm. The…

A: Wavelength of the electrons in the wave. given, slit widtha=2.0 μm=2.0×10-6 mDistanceL to the…

Q: Show that the uncertainty principle can be written in terms of force and time using…

A: uncertainty principle says that the location or position & velocity of an object cannot both be…

Q: An ultrashort pulse has a duration of 8.00 fs and produces light at a wavelength of 557 nm. What are…

A: We know the uncertainty relation between position and momentum given by ∆E.∆t >_ h/4π For minimum…

Q: A particle A of mass 'm' and charge 'q' is accelerated by a potential difference of 50 V. Another…

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Q: How much time is needed to measure the kinetic energy of an electron whose speed is 10 m/s with an…

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Q: When you flip a coin, the outcome is uncertain. Does this arise from quantum uncertainty?

A: Coin is too big a system for quantum uncertainty to show up.

Q: We are going to use Heisenberg's uncertainty principle to estimate the ground- state energy of…

A: Solution: given that ∆x = 0.0529to find the ∆p

Q: "Ultrafast" lasers produce bursts of light that last only on the order of 10 fs. Because of the…

A: Use the uncertainty principle here to solve the question. Please go through the steps below.

Q: Considering only circular orbits, find the energy levels of a particle of mass m moving in the…

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Q: The principle of inaccuracy has nothing to do with measurement errors and does not arise from…

A: True  The principle of inaccuracy has nothing to do with measurement errors and does not arise from…

Q: How long will the wave packet of a 10 g object, initially confined to 1 mm, take to its size?…

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Q: Consider a model of an electron as a hollow sphere with radius R and the electron charge -e spread…

A: as per our guidelines we will solve first three subparts for you. to get remaining subparts solved…

Q: Thermal neutrons are incident on a crystal whose principal Bragg plane spacing is 3.0 Å. If a…

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Q: Find the maximum Compton wave shift corresponding to a collision between a photon and a proton at…

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Q: An electron and a proton, each initially at rest, are accelerated across the same voltage. Assuming…

A: Heisenberg's uncertainty principle states that it is impossible to measure the position and momentum…

Q: The barrier potential for forward biasing in Si is: O -0.7V O 1.7V 0.7V

A: The potential difference required for the electrons to be passed across the electric field is…

Q: For collisions with free electrons, compare the Compton shift of a photon scattered at an angle of…

A: Compton scattering is an inelastic scattering in which photons are scattered (usually X-rays…

Blackbody

Q.5 A blackbody radiates how much energy when the temperature of the body is elevated?