Q. 215.0( 4 Votes )

# From the relation R = R_{0}A^{1/3}, where R_{0} is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of A).

Answer :

The __radius od a nucleus is given as R = R _{0}A^{1/3} (A = mass number)__

And, the density is given by =

Let m be average mass of the atom, hence Mass = mA

And volume =

Hence, šŗ = =

This is a constant independent of A. So, Nuclear density is a constant.

Rate this question :

(a) Write the basic nuclear process involved in the emission of in a symbolic form, by a radioactive nucleus.

(b) In the reactions given below:

(i)

(ii)

Find the values of x, y, and z and a, b and c.

Physics - Board PapersAs the mass number A increases, which of the following quantities related to a nucleus do not change?

HC Verma - Concepts of Physics Part 2In a radioactive decay, neither the atomic number nor the mass number changes. Which of the following particles is emitted in the decay?

HC Verma - Concepts of Physics Part 2In one average-life,

HC Verma - Concepts of Physics Part 2In pair annihilation, an electron and a positron destroy each other to produce gamma radiation. How is the momentum conserved?

Physics - ExemplarThe graph of ln(R/Rā) vs ln A (R=radius of nucleus and A=its mass number) is

HC Verma - Concepts of Physics Part 2