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If the velocities of individual neutrons are known to within 2.0% of this value, what is the uncertainty in the position of one of them?
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- An effective treatment for some cancerous tumors involves irradiation with "fast" neutrons. The neutrons from one treatment source have an average velocity of 3.5×107 m/s. If the velocities of individual neutrons are known to within 2.0% of this value, what is the uncertainty in the position of one of them? answer in m(a) The lifetime of a highly unstable nucleus is 10-12 s. What is the smallest uncertainty (in ev) in its decay energy? ev (b) What is the ratio of this energy, AE, to the rest energy of an electron, Erest? ΔΕ ErestLunar astronauts placed a series of cube reflectors on the Moon as part of an experiment to mea- sure the distance to the Moon with hyperaccuracy. Lasers were fired from an observatory in West Texas toward the Moon; they reflected off these cubes and returned to Earth. The time of arrival was measured by astronomers at the observatory. If the time for the round trip could be measured with an accuracy of 0.1 nanoseconds, what was the uncertainty in the measured distance to the Moon. Given that the semi-major axis of the Moon’s orbit is 3.84 x 108 km, what is the percent accuracy of these measurements?
- The velocity of a neutron is measured to be 6.0 x 106 m s-1 with an uncertainty of 1.0 × 103 m s-1. (i) What is the minimum uncertainty of the simultaneous measurement of the position of the neutron? (ii) State how the minimum uncertainties of a measured energy and a measured time are relatedFind the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(m,v) = 1/2 m v. Your measured mass and velocity have the following Sm = uncertainties = 1.33 kg and SV = 2.15 m/s. What is the uncertainty in energy, SE , if the measured mass, m = 2.47 kg and the measured velocity, v = -31.26 m/s?The velocity of an electron is measured to a precision of 62 × 10-³ m/s. What is the minimal uncertainty to which its position can be measured? Please give your answer in units of mm, accurate to one decimal place. I.e, the answer you should enter should have the form: XX.X mm. Answer:
- A rectangular object has length l=30.3±0.6, width w=17.9±0.2. What is the absolute uncertainties in length?Find the uncertainty in the moment of interia. Moment of interia of a disk depends on mass and radius according to this function I(m,r) = 1/2 m r2. Your measured mass and radius have the following uncertainties Sm = 0.2 kg and Sr = 0.11 m. What is is the uncertainty in moment of interia, 61 , if the measured mass, m = 7.99 kg and the measured radius, r = 19.26 m? Units are not needed in your answer.Line XY was measured by four parties A, B, C, D. Each party has two measurements as follows: Trial A B C D 1 91.25 91.21 91.20 91.18 2 91.19 91.27 91.22 91.26 a. Find the precision of each party and which has the highest precision. b. What is the most probable length of XY?
- The average lifetime of a tau is about 2.9 ✕ 10−13 s. Estimate the minimum uncertainty in the energy of a tau. JFind the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(m,v) = 1/2 m v2. Your measured mass and velocity have the following uncertainties Sm = 0.38 kg and Sv = 0.1 m/s. What is is the uncertainty in energy, SE , if the measured mass, m = 3.1 kg and the measured velocity, v = -7.52 m/s? Units are not needed in your answer.Problem 2: Line XY was measured by four parties a, b, c, d. Each party has two measurements as follows: Trial B 91.21 91.27 D 91.20 91.18 91.26 A 1 2 91.25 91.19 91.22 Find the precision of each party and find out which has the highest precision. b. What is the most probable length of XY? a.