A hydrogen atom has a diameter of 1.06 X 10-10 m . The nucleous of the hydrogen atom has a diameter of approximately 2.40 x 10-15 m . (a) For a scale model, represent the diameter of the hydrogen atom by the playing length of an American football field (100 yards= 300 ft) and determine the diameter of the nucleus in millimeters. (b) Find the ratio of the volume of the hydrogen atom to the volume of its nucleus.

A hydrogen atom has a diameter of 1.06 X 10-10 m . The nucleous of the hydrogen atom has a diameter of approximately 2.40 x 10-15 m . (a) For a scale model, represent the diameter of the hydrogen atom by the playing length of an American football field (100 yards= 300 ft) and determine the diameter of the nucleus in millimeters. (b) Find the ratio of the volume of the hydrogen atom to the volume of its nucleus.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 1PQ

See similar textbooks

Similar questions

(Unit conversion) A hydrogen atom has a diameter of 1.06 x 10-10 m. The nucleus of the hydrogen atom has a diameter of approximately 2.40 × 10-15 m. (a) For a scale model, represent the diameter of the hydrogen atom by the playing length of an American football field (100yards = 300ft) and determine the diameter of the nucleus in millimeters. (b) Find the ratio of the volume of the hydrogen atom to the volume of its nucleus.
Nuclear Physics - Nuclear Structure Density= Nuclear Structure Z mass Volume radius r=r04¹/3 ro=1.2x10-¹5 m N A = Z+N 4 The radius r of a nucleus is given in the above figure. The volume of a nucleus is V = Proton 56 Fe nucleus has a total of 56 nucleons (protons + neutrons). The average mass of a nucleon is u = 1.66x10^-27 kg I whin ber Neutron A Z If this unknown nucleus has 60 neutrons, how many protons does it have? Enter a number rr³ (a)Calculate the radius of a 56 Fe nucleus. Write the radius in fm, 1 fm = 10-15 m. Keep 2 decimal places. Enter a number x10-¹5m, fm (b) Calculate the Denisity of a 56Fe nucleus.. Write the result in terms of 1017 kg/m³. Keep 2 decimal places. Enter a number x10¹7kg/m³ () (c) An unknown hacieus has twice the volume of 56Fe. What is the mass number A of this nucleus? Enter a number i
Density is the ratio of mass to volume. If a uranium nucleus has a radius of 7.4 femtometers and nuclear mass of 238 AMU, what is its density in kg/m3? Assume the nucleus is sphere-shaped to find its volume.
One method for determining the age of ancient objects is by radiocarbon dating. Natural processes convert nitrogen to Carbon-14, a radioactive isotope with a half-life of 5730 years. When they are alive, animals assimilate Carbon-14 through the food chain. When an animal dies, it stops replacing its carbon and the amount of Carbon-14 decays exponentially. (a) Suppose the minimum detectable amount is 0.1% of the initial amount. What is the maximum age of a fossil that we could date using Carbon-14? (b) Suppose we wanted to date a fossil that was potentially 70 million years old. A radioactive isotope with what half-life would be required?
Estimate the radius of a sphere that would hold all of a person's mass if its density equaled the density of a nucleus. Suppose that the mass is 70 kg and the density of the nucleus is 2.4 x 1017 kg/m³. Express your answer with the appropriate units.
(Unit conversion)A hydrogen atom has a diameter of 1.06 × 10-10 m. The nucleus of the hydrogen atom has a diameter of approximately 2.40 × 10-¹5 m. (a) For a scale model, represent the diameter of the hydrogen atom by the playing length of an American football field (100yards 300ft) and determine the diameter of the nucleus in millimeters. (b) Find the ratio of the volume of the hydrogen atom to the volume of its nucleus. =
An unknown radioactive element decays into non-radioactive substances. In 360 days the radioactivity of a sample decreases by 34 percent. (a) Find the decay constant k. (Round your answer to 5 decimal places.) (b) What is the half-life of the element? (Round your answer to two decimal places) half-life: (days) (c) How long will it take for a sample of 100 mg to decay to 59 mg? (Round your answer to two decimal places) time needed: (days)
Phosphorus-32 is a commonly used radioactive nuclide in biochemical research, particularly in studies of nucleic acids. The half-life of phosphorus-32 is 14.3 days. What mass of phosphorus-32, in milligrams, is left from an original sample of 175 mg of Na "PO, after 38.8 days? Assume that the atomic mass of 32P is 32.0.
What is the approximate radius of a nitrogen nucleus that has seven protons and seven neutrons?
The rate of decay of a radioactive material is directly proportional to the amount of the material present, with the constant of proportional denoted by k. If the half-life of the material is 2.02 years, find k.
An accident at a nuclear power plant has left the surrounding area polluted with radioactive material that decays naturally. The initial amount of radioactive material present is 42 su (safe units), and 5 months later it is still 31 su. a.) write a formula giving the amount A(t) of radioactive material (in su) remaining after t months. (Use integers or decimals for any numbers in the expression. Round to three decimal places needed.) b.) what amount of radioactive material will remain after 11 months? c.) how long will it be until A = 1 su, so it is safe for people to return to the area?
The most common kind of iron nucleus has mass number A = 56. Find the approximate radius, mass, and density of the nucleus.