1.Prove that any number, with zeros standing in all deci-
mal places numbered 10n and only in these places, is irrational.
2.Do we have problems related to humidity and saturated pressure in iit-jee?(i know jee can ask any kind of prob... but do we hav that in syllabus??)
3.It is said that the assumptions of kinetic theory are good for gases having low densities. Suppose a container is so evacuated that only one molecule is left in it. Which of the assumptions of kinetic theory will not be valid for such sityation> Can we assign a temperature to this gas?
14.Prove that the product a and the quotient a/f) of a
rational number a =1== 0 and an irrational number is an irrational
number.
5.Prove that for every positive rational number s satisfying
the condition S2 > 2 one can always find a smaller rational number
s-k (k > 0) for which (S-k)2> 2.
