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.

The radius of nucleus is R=R_(0)A^(1//3) where A is the mass number of the atom. What are the dimensions of R_(0) ?

Give the Rydberg equation where R is Rydberg constant?

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

Given the relation R= {(1,2),(2,3)} is the set A= {1,2,3}. Then the minimum number of ordered pairs which when added to R make it an equivalence relation is :

Show that the relation R in the set A of points in a plane given by R = {(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point P ne (0,0) is the circle passing through P with origin as centre.

R is a relation over the set of real numbers and it is given by mn ge 0 . Then R is :

Let, f:(0,1) rarr R be defined by f(x)=(b-x)/(1-b x) where b is a constant such that 0 lt b lt 1 . Then,

Let A be the set of all students of a boys school. Show that the relation R in A given by R = {(a,b):a is sister of b} is the empty relation and R' ={(a,b): the difference between heights of a and b is less than 3 meters } is the universal relation.