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For ultrarelativistic particles such as photons or high-energy electrons, the relation between energy and momentum is not E = p2/2m but rather E = pc. (This formula is valid for massless particles, and also for massive particles in the limit E » mc2.) (a) Find a formula for the allowed energies of an ultrarelativistic particle confined to a one-dimensional box of length L.
(b) Estimate the minimum energy of an electron confined inside a box of width 10-15 m. It was once thought that atomic nuclei might contain electrons; explain why this would be very unlikely.
(c) A nucleon (proton or neutron) can be thought of as a bound state of three quarks that are approximately massless, held together by a very strong force that effectively confines them inside a box of width 10-15 m. Estimate the minimum energy of three such particles (assuming all three of them to be in the lowest-energy state), and divide by c2 to obtain an estimate of the nucleon mass.
distinguish between the primary quantum yield and overall quantum yield of a chemical reaction. describe an expermintal
The flame in a torch used to cut metal is produced by burning acetylene (C2H2) in pure oxygen. Assuming the cumbustion of 1 mole of acetylene released 1251 kJ of energy
Problem- A single dose of a certain antacid contains 250 mg Mg(OH)2 and 300 mg CaCO3. How many mmil of H+ can be neutralized by one dose of this antacid
What is the theoretical slope at 30°C What is , the electromotive efficiency to three significant figures. What is the pH of an unknown that gives a reading of 46.7 mV with this electrode at 30°C
Does the melting point obtained for your product indicate that the sample is indeed phenacetin? What additional evidence can you cite
100 mL of 0.200 M HCl is titrated with 0.250 M NaOH .What is the pH of the solution at the equivalence point?Express the pH numerically.
When in a benedicts and barfoed's test the solutions changes from a clear blue liquid to a red/ brown precipitate, what is occuring, What is blue, what is red
The reaction previously done was just having trans-cinnamic acid reacted with Br2 forming all the isomers with the double bond being broken and Br put into place.
Photochemical chlorination of heptane gave a mixture of monochlorides containing 15% 1-chloroheptane. What other monochlorides are present? Estimate the percentage of each of these additioanl C7H15Cl isomers in a monochloride fraction.
What is the significance of high pressure used in HPLC?
Wind provides a source of renewable energy that is increasingly being tapped. Modern wind tubines can conbert up to 30% of the kinetic energy of the incoming wind blowing through their blades to electicity.
a consider a 0.05-mm thick 500 mm2 piece of aluminum foil. how many unit cells exist in the foil?b calculate the mass
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