PHYSICS FOR SCIEN & ENGNR W/MOD MAST
4th Edition
ISBN: 9780134112039
Author: GIANCOLI
Publisher: PEARSON
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Chapter 38, Problem 8P
(a)
To determine
The wavelength of
(b)
To determine
The minimum uncertainty of bullet in the vertical momentum.
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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
A 12-g bullet leaves a rifle at a speed of 150 m/s (a) What is the wavelength of this bullet? (b) If the position of the bullet is known to a precision of 0.60 cm (radius of the barrel), what is the minimum uncertainty in its momentum?
(a) The uncertainty in the y-component of a proton’s position is 2.0 * 10-12 m. What is the minimum uncertainty in a simultane- ous measurement of the y-component of the proton’s velocity? (b) The uncertainty in the z-component of an electron’s velocity is 0.250 m/s. What is the minimum uncertainty in a simultaneous measurement of the z-coordinate of the electron?
Chapter 38 Solutions
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
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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- At what velocity will an electron have a wavelength of 1.00 m?arrow_forwardIf the uncertainty in the y -component of a proton's position is 2.0 pm, find the minimum uncertainty in the simultaneous measurement of the proton's y -component of velocity. What is the minimum uncertainty in the simultaneous measurement of the proton's x -component of velocity?arrow_forward(a)If the position of a chlorine iron ina membrane is measured to an accuracy of 0.95um, what is its minimum uncertainty in velocity, given its mass is 5.89x10^-26kg? (b) If the ion has this velocity, what is its kinetic energy?arrow_forward
- (10) i) Use the quantum mechanical kinetic energy operator T, = to find the kinetic energy of the first 2m dx? excited state of the Particle in a Box (with n = 2). ii) Then, use the relationship of kinetic energy and momentum (KE = p?/2m) to find an equation for the de Broglie wavelength of the particle in a one-dimensional box as a function only of the box length L and quantum number n. iii) Sketch the wavefunction in the box to verify that the expression you obtained in part ii) is correct.arrow_forward(a) Show that the spread of velocities caused by the uncertainty principle does not have measurable consequences for macroscopic objects (objects that are large compared with atoms) by considering a 100-g racquetball confined to a room 15 m on a side. Assume the ball is moving at 2.0 m/s along the x axis.arrow_forward(a) Calculate the de Broglie wavelength of a neutron travelling at 5.000 m s-¹. (b) The neutron's speed is known to the nearest 1 x 10-³ m s-¹. Calculate the minimum uncertainty in the neutron's position.arrow_forward
- (A) Find the uncertainty in the momentum of a particle when its position is determined within 0.01 cm. (B) also find the uncertainty in the velocity of an electron and alpha particle, respectively when they are located within 5×10^(-8) cm.arrow_forwardQ#1 (a)(i)A thermal neutron has a speed v at temperature T v2 = 300 K and kinetic energy m 3 KT Calculate its deBroglie wavelength. State whether a beam of these neutrons could be diffracted by a 2 crystal, and why?arrow_forward(b) (deBroglie wave length) Determine the deBroglie wavelength (formula: p=h/2) of a grain of dust with diameter 1um, density 1kg m-3 and speed 1cm s. Compare your result with the diameter of the dust grain and the diameter of an atom. Comment?arrow_forward
- (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.]arrow_forward(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 Erestarrow_forwardAn atom in an excited state of 4.7 eV emits a photon and ends up in the ground state. The lifetime of the excited state is 1.0 x 10-13 s. (a) What is the energy uncertainty of the emitted photon? (b) What is the spectral line width (in wavelength) of the photon?arrow_forward
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