Concept explainers
(a)
The density of an alpha particle’s nucleus.
(a)
Answer to Problem 1PQ
The density of an alpha particle’s nucleus is
Explanation of Solution
Given that the radius of the constituent particle of alpha particle is
Since nuclear density is uniform, the density of alpha particle’s nucleus is the same as the density of its constituent particles.
Write the expression for density.
Here,
Assuming the particles to be of spherical shape, their the volume is given by the expression,
Here,
Use equation (II) in (I).
Conclusion:
Substitute
Therefore, the density of an alpha particle’s nucleus is
(b)
The comparison of the density of the nucleus of an alpha particle with the density of the osmium and what this comparison say about the space between nuclei in liquids and solids.
(b)
Answer to Problem 1PQ
The density of the nucleus is about
Explanation of Solution
It is obtained that the density of alpha particle’s nucleus is
Compare the values of the densities of nucleus and osmium.
Conclusion:
Therefore, the density of the nucleus is about
Want to see more full solutions like this?
Chapter 15 Solutions
Student Solutions Manual For Katz's Physics For Scientists And Engineers: Foundations And Connections, Volume 1
- An atom of rhodium (Rh) has a diameter of about2.7 * 10-8 cm. (a) What is the radius of a rhodium atom inangstroms 1A° 2 and in meters (m)? (b) How many Rh atomswould have to be placed side by side to span a distance of6.0 mm? (c) If you assume that the Rh atom is a sphere, whatis the volume in m3 of a single atom?arrow_forwardA proton, which is the nucleus of a hydrogen atom, can be modeled as a sphere with a diameter of 2.4 fm and a mass of 1.67 x 10-27 kg. (a) Determine the density of the proton. (b) State how your answer to part (a) compares with the density of osmium, given in Table 14.1.arrow_forward(a) What is the average density of the sun? (b) What is the average density of a neutron star that has the same mass as the sun but a radius of only 32.913 km? (express your answer in the proper SI unit and without scientific notation)arrow_forward
- (a) Calculate the number of cells in a hummingbird assuming the mass of an average cell is 10 times the mass of a bacterium. (b) Making the same assumption, how many cells are there in a human?arrow_forwarda. What is vav,x for the interval from t = 0 to t = 3.60 s? answer in m/s b. What is vav,x for the interval from t = 0 to t = 3.50 s? anser in m/sarrow_forwardOne molecule of water (H2O) contains two atoms of hydrogen and one atom of oxygen.A hydrogen atom has a mass of 1.0 u and an atom of oxygen has a mass of 16 u, approximately. (a) What is the mass in kilograms of one molecule of water? (b) How many molecules of water are in the world’s oceans, which have an estimated total mass of 1.4 =1021 kg?arrow_forward
- n = 7,000 hydrogen molecules/cm3 How can you convert the density from H/cm3 to kg/cm3?arrow_forwardThere is relatively little empty space between atoms in solids and liquids, so that the average density of an atom is about the same as matter on a macroscopic scale—approximately 103 kg/m3. The nucleus of an atom has a radius about 10−5 that of the atom and contains nearly all the mass of the entire atom. (a)What is the approximate density (in kg/m3) of a nucleus? Answer________ in kg/m3 (b) One remnant of a supernova, called a neutron star, can have the density of a nucleus. What would be the radius (in m) of a neutron star with a mass 1.3 times that of our Sun (the radius of the Sun is 7 ✕ 108 m)? Answer ___________ marrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning