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Physics
Two uniform thin rods A and B of length 0.6 m each and of masses 0.01 kg and 0.02 kg respectively are rigidly joined end to end. The combination is pivoted at the lighter end, P as shown in fig. such that it can freely rotate about point P in a vertical plane. A small object of mass 0.05 kg, moving horizontally, hits the lower end of the combination and sticks to it. What should be the velocity of the object so that the system could just be raised to the horizontal position.
Chemistry
According to the kinetic theory of gases, for a diatomic molecule (a) the pressure exerted by the gas is proportional to mean velocity of the molecule. (b) the pressure exerted by the gas is proportional to the root mean velocity of the molecule. (c) the root mean square velocity of the molecule is inversely proportional to the temperature. (d) the mean translational kinetic energy of the molecule is proportional to the absolute temperature.
Mathematics
A is a set containing n elements.A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen at random. Find the probability that P and Q have no common elements.