Home
Class 12
PHYSICS
Show that the density of nucleus over a ...

Show that the density of nucleus over a wide range of nuclei is constant independent of mass number.

Text Solution

Verified by Experts

We have
`R=R_(0) A^(1//3)`
`therefore`Density, `rho = (mA)/( (4)/(3) pi (R_(0)A^(1//3))^(3))`
`= (m)/( (4)/(3) pi R_(0)^(3)`
Hence `rho` is independent of A
(Here `m` is the mass of the nucleus.)
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    OSWAAL PUBLICATION|Exercise TOPIC -1 (Short Answer Type Questions-II)|9 Videos
  • NUCLEI

    OSWAAL PUBLICATION|Exercise TOPIC -1 (Long Answer Type Questions-I)|3 Videos
  • NUCLEI

    OSWAAL PUBLICATION|Exercise TOPIC -2 (Numerical Problems)|3 Videos
  • MOVING CHARGES & MAGNETISM

    OSWAAL PUBLICATION|Exercise TOPIC-3 (Current Carrying Conductor & Galvanometer) (Numerical Problem)|1 Videos
  • RAY OPTICS AND OPTICAL INSTRUMENTS

    OSWAAL PUBLICATION|Exercise TOPIC-3(Numerical Problems)|3 Videos

Similar Questions

Explore conceptually related problems

The most stable nuclei have mass number :

What is the ratio of the nuclear densities of two nuclei having mass numbers in the ratio 1:3 ?

Draw a plot of BE/A versus mass number A for 2 le A le 170 . Use this graph to explain the release of energy in the process of nuclear fusion of two light nuclei. OR Using the curve for the binding energy per nucleon as a function of mass number A, state clearly how the release in energy in the processes of nuclear fission and nuclear fusion can be explained. OR Draw a plot of the binding energy per nucleon as a function of mass number for a large number of nuclei, 2 lt A lt 240 . How do you explain the constancy of binding energy per nucleon in the range 30 lt A lt 170 using the property that nuclear force is short-ranged ?

What characteristic property of nuclear force explains the constancy of binding energy per nucleon (BE/A) in the range of mass number 'A' lying 30 lt A lt 170 ?

An atom of an element has 29 electrons. The nucleus of the atom contains 35 neutrons. Find the number of protons in the nucleus and the mass number.

Write the complete symbol for the nucleus with atomic number 26 and mass number 55.

Write the complete symbol for the nucleus with atomic number 56 and mass number 138

A neutron with velocity v suffers head on elastic collision with the nucleus of an atom of mass number A at rest. The fraction of energy retained by neutron is