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- 3. Compute: VXVXA Given that A=-x'y' - 4z'y + 2x'z' at P(0,-1,1)4. A company manufactures LED light bulbs. The lifetime for these bulbs is 4,600 hours with a standard deviation of 250 hrs. What lifetime should the company promote for these bulbs, so that only 4.0% of them burnout before the claimed lifetime?2. Suppose you can find the velocity of an object with a 'photogate'. The photogate measure the time the object is breaking a beam of light. So if the object is .12 meters long and the time blocking the beam is 135 ms the velocity will be: .12meters m v = .89 (1) .135seconds Suppose two photogates are set up on a 'frictionless' incline plane (0 : 18°). Assume the time through gate 1 is 232 ms and the second gate is 0.7 meters down the plane. What will be the time through the second gate. (The mass sliding has a length of .15 meters) Cafz L a=9,8sin G
- 3. The electric field between two parallel plates connected to a 50V battery is 200OV/m. How far apart are the plates? 4. Two parallel plates, connected to a 50V powerpplyseparated by an air gap. How small can the gap be ife wg by exceenn wwvarue or E JATQUESTION 13 Removing an electron from the metal requires 3.5 eV. The conversion between eV and J is: 1 eV = 1.6 x 10-19 J a) How many Joules is that? b) What is the velocity of the electron upon emission if the electron's mass is m-9.1*10-31 kg?2.) a.)How much energy, in electron-volt, is used in operating a 60-Watt headlight connected to a 12V battery in one hour? b.) how many electrons pass between the terminals of the 12V battery during this period of one hour ?
- MV². -)dV 2RT M dN = 47(- N 3/2v² exp(- 2 RT F(V)dV =! Find the Vm value by considering the following curve 25 x 10-* 20 x 10-4 298 K 15 x 10-4 10 x 10-4 1500 K 5 x 10-4 Vm Vm u, m s-1 All questions are compulsory. 00s 000z 00S np N NP I1.4) (i) Explain the meaning of the statement ‘electric charge of a body is quantised’(ii) Why can one ignore quantisation of electric charge when dealing with macroscopic i.e., large scale charges?(a) What is the kinetic energy in MeV of a ray that is traveling at 0.998c? This gives some idea of how energetic a ray must be to travel at nearly the same speed as a ray. (b) What is the velocity of the ray relative to the ray?
- Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?A chain of nuclear reactions in the Suns core converts four protons into a helium nucleus. (a) What is the mass difference between four protons and a helium nucleus? (b) How much energy in MeV is released during the conversion of four protons into a helium nucleus?A.)69.3N B)34.6N Please show your complete solution and write your answer clearly. Thank you.
