From the relation `R = R_0A^(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).

State three properties of nuclear forces. Show that the density of nuclear matter is independent of mass number A.

The unit of length convenient on the nuclear scale is a fermi : 1 f = 10 ^-15 m . Nuclear sizes obey roughly the following empirical relation :- r=(r_0A)^(1/3) where ris the radius of the nucleus, Aits mass number, and r_o is a constant equal to about, 1.2 f. Show that the rule implies that nuclear mass density is nearly constant for different nuclei. Estimate the mass density of sodium nucleus. Compare it with the average mass density of a sodium atom obtained in Exercise. 2.27.

Differentiate a^x w.r.t. x, where a is a positive constant.

What is the relation between size of nucleus R (radius) and mass number (A)?

Size of nucleus was obtained by the equation r=R_(0)A^(1//3) , Where r is the radius of nucleus of mass no A. and R_(0) is a constant whose valie is equal to 1.5xx10^(-15) metre. (Given : 1 amu = 1.66xx10^(-24)g ) What is the density of a nucleus of mass number A ? a) (4)/(3)pi(1.5xx10^(-15))^(3) A b) 1.17xx10^(17)kg//cm^(3) c) 1.17xx10^(17)kg//m^(3) d) none of these

Size of nucleus was obtained by the equation r=R_(0)A^(1//3) , Where r is the radius of nucleus of mass no A. and R_(0) is a constant whose valie is equal to 1.5xx10^(-15) metre. (Given : 1 amu = 1.66xx10^(-24)g ) Nucleus radius of ._(6)C^(12) is 3xx10^(-15) metre. What is density ratio of d_(c)//d_(H_(2)O) ? a) 1.76xx10^(17) b) 1.76xx10^(14) c) 17.6xx10^(7) d) 17.6xx10^(17)

Let R be a relation defined by R = {(a, b) : a ge b }, where a and b are real numbers, then R is