After 2 hours the amount of a certain radioactive substance reduces to 1/16th of the original amount (the
decay process follows first-order kinetics). The half-life of the radioactive substance is
(A) 15 min (B) 30 min (C) 45 min (D) 60 min
At 298 K, assuming ideal behaviour, the average kinetic energy of a deuterium molecule is
option
(A) two times that of a hydrogen molecule
(B) four times that of a hydrogen molecule
(C) half of that of a hydrogen molecule
(D) same as that of a hydrogen molecule
The set of principal (n), azimuthal (l) and magnetic (m1) quantum numbers that is not allowed for the electron in H-atom is
option
(A) n = 3, l = 1, m1 = -1
(B) n = 3, l = 0, m1 = 0
(C) n = 2, l = 1, m1 = 0
(D) n = 2, l = 2, m1 = -1
Two balloons A and B containing 0.2 mole and 0.1 mole of helium at room temperature and 2.0 atm, respectively, are connected. When equilibrium is established, the final pressure of He in the system is
option
(A) 1.0 atm
(B) 1.5 atm
(C) 0.5 atm
(D) 2.0 atm
A nucleus of lead 214 Pb82 emits two electrons followed by an alpha particle. The resulting nucleus will have
option
(A) 82 protons and 128 neutrons
(B) 80 protons and 130 neutrons
(C) 82 protons and 130 neutrons
(D) 78 protons and 134 neutrons