Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 38, Problem 90P
To determine
To find:
The uncertainty in the position of ball.
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If an electron has an uncertainty in its position of 4.20 × 10-2 m, what is the uncertainty in its velocity (in m/s)?
Question 5
1) An electron is moving along x axis with the speed of 2×106 m/s (known
with a precision of 0.50%). What is the minimum uncertainty with which
we can simultaneously measure the position of the electron along the x
axis? Given the mass of an electron 9.1×10-31 kg
Answer
3. The equation 1.45 in our textbook says that the de Broglie wavelength as a function of temperature
is given by 1
Assuming the accepted accuracy for h, R, and m are very high, what is the
V3MRT
maximum uncertainty in the de Broglie wavelength if AT is the uncertainty in temperature?
Chapter 38 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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- (a) If the position of a chlorine ion in a membrane is measured to an accuracy of 1.00 m, what is its minimum uncertainty in velocity, given its mass is 5.8601026 kg? (b) If the ion has this velocity, what is its kinetic energy in eV, and how does this compare with typical molecular binding energies?arrow_forwardA gas of helium atoms at 273 K is in a cubical container with 25.0 cm on a side. (a) What is the minimum uncertainty in momentum components of helium atoms? (b) What is the minimum uncertainty in velocity components? (c) Find the ratio of the uncertainties in (b) to the mean speed of an atom in each direction.arrow_forwardAn electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b) How much energy is needed to excite the electron to its first excited state? (c) If the electron makes a transition from an excited state to the ground state with the simultaneous emission of 30.0-eV photon, find the quantum number of the excited state?arrow_forward
- If an electron has an uncertainty in its velocity of 5.60 m/s, what is the uncertainty (in meters) in its position?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 ms). Again assume that its speed can be measured to a precision of 2%arrow_forwardWhat is the minimum uncertainty in position, in nm, of an electron whose velocity is known to be between 2.96x105 m/s and 3.08×105 m/s ? Express your answer using two significant figures. Vη ΑΣφ x" х.10п 9.7 nm Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remainingarrow_forward
- An electron is moving with a velocity of 2.56 x10’ m/s. Calculate the minimum possible uncertainty in its position. (a) 0.038×10-12 m c (b) 4.50 x10-10 (c) 4.50 x10-12 m (d) None of the above marrow_forwardImagine another universe in which the value of Planck’s con- stant is 0.0663 J s, but in which the physical laws and all other physical constants are the same as in our universe. In this universe, two phys- ics students are playing catch. They are 12 m apart, and one throws a 0.25 kg ball directly toward the other with a speed of 6.0 m/s. (a) What is the uncertainty in the ball’s horizontal momentum, in a direction per- pendicular to that in which it is being thrown, if the student throwing the ball knows that it is located within a cube with volume 125 cm3 at the time she throws it? (b) By what horizontal distance could the ball miss the second students?arrow_forwardA 64.6 g ball moves at 38 m/s. If its speed is measured to an accuracy of 0.07%, what is the minimum uncertainty in its position? Answer in units of m. S.arrow_forward
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