Kinetic Theory of gases

Q: Consider a collection of a large number of particles each with speed v. The direction of velocity is randomly distributed in the collection. What is the magnitude of the relative velocity between a pairs in the collection

(a) 2V/π

(b) V/ π

(c) 8V/ π

(d) 4V/ π

Q: The absolute zero is the temperature at which

(a) Water freezes

(b) All substance exist in solid state

(c) Molecular motion ceases

(d) None of the above

Q: The temperature at which the r.m.s. speed of hydrogen molecules is equal to escape velocity on earth surface, will be

(a) 1060 K

(b) 5030 K

(c) 8270 K

(d) 10063 K

Q: The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociate into two atoms. The new root mean square speed of the atom is

(a) √2 v

(b) v

(c) 2 v

(d) 4 v

Q: N molecules each of mass m of gas A and 2 N molecules each of mass 2 m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is v² and the mean square of x component of the velocity of molecules of gas A is w² . The ratio w²/v² is

(a) 1

(b) 2

(c) 1/3

(d) 2/3