PHYSICS F./SCI... W/MOD V.II W/KIT
4th Edition
ISBN: 9780134819884
Author: GIANCOLI
Publisher: PEARSON
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Chapter 38, Problem 3P
To determine
The maximum precision to ascertain the position of proton.
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(I) A proton is traveling with a speed of
(8.660 ± 0.012) × 10° m/s. With what maximum precision
can its position be ascertained? [Hint: Ap = m Av.]
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 related
ii) Two objects (a) an electron and (b) a bowling ball of mass 6.0 kg are moving
with speeds of 1.0×10−3 m/s. Calculate the uncertainties in the positions of the
given objects.
Chapter 38 Solutions
PHYSICS F./SCI... W/MOD V.II W/KIT
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
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- Q:-3(a)-An electron moves in the x direction with a speed of 2.8 x 106 m/s. We can measure its speed to a precision of 2 %. With what precision can we simultaneously measure its x coordinate? (b)- Repeat the calculations of the previous example in the case of a pitched baseball (m = 0.135 kg) moving at a speed of (44.5 ms). Again assume that its speed can be measured to a precision of 2%arrow_forwardIf the speed of a proton is measured to be 2.9 × 105 m/s with a precision of 0.70% then what is the maximum precision with which its position could be measured, Ax? How does this uncertainty compare to the size of the proton?arrow_forwardQ:-3(a)-An electron moves in the x direction with a speed of 2.8 x 106 m/s. We can measure its speed to a precision of 2 %. With what precision can we simultaneously measure its x coordinate? (b)- Repeat the calculations of the previous example in the case of a pitched baseball (m = 0.135 kg) moving at a speed of (44.5 m's). Again assume that its speed can be measured to a precision of 2 % (c) What is your comment on the result in part (a) and (b) from the point of view of quantum mechanics?arrow_forward
- This problem is designed to give you practice using the Dirac delta function. Eval- uate the following integrals. Show your reasoning.arrow_forward2(2) The uncertainty of the velocity (Δv) of a proton in an accelerator constitutes 0.250% of the speed of light. What is the smallest possible uncertainty in its position (Δx)? What is the uncertainty of the momentum (Δp)?arrow_forwardAn unknown moving ion is confined in a OD nanomaterial in which all three dimensions are equals to 5 nm. Estimate with what accuracy its velocity and energy can be measured (given mass of the ion is 4.8×10 26 kg)?arrow_forward
- (ii) The longest wavelength of light emitted by hydrogen in the Balmer series is 2, = 725 nm. In light from a distant galaxy, this wavelength is measured to be 2, = 1358 nm. Find the speed at which the distant galaxy is receding from the earth. %3Darrow_forward32.(a) How much time is needed to measure the kinetic energy of an electron whose speed is 10.0 m/s with an uncertainty of no more than 0.100 percent? How far will the electron have traveled in this period of time? (b) Make the same calculations for a 1.00-g insect whose speed is the same. What do these sets of figures indicate?arrow_forward(I) What is the wavelength of a neutron (m 1.67 x 10-27 kg) traveling at 8.5 × 10ª m/s? ||arrow_forward
- Find the smallest possible uncertainty in the position of an electron moving with velocity 3x107 m/s. (Given: ħ= 1.054x10-34 Js, m. - 9.11 ×10-³1 kg) = Calculate 41 Jissarrow_forwardA proton is traveling with a speed of (8.660+_0.013) x 10^5 m/s. With what maximum precision can it's position be ascertained?arrow_forwardQ:-3(a)-An electron moves in the x direction with a speed of 2.8 x 10° m/s. We can measure its speed to a precision of 2 %. With what precision can we simultaneously measure its x coordinate? (b)- Repeat the calculations of the previous example in the case of a pitched baseball (m = 0.135 kg) moving at a speed of (44.5 m's). Again assume that its speed can be measured to a precision of 2% (c) What is your comment on the result in part (a) and (b) from the point of view of c quantum mechanics?arrow_forward
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