Daily Question Banks for Engineering Entrance and Board Exams

Questions
Physics

A small ball starts moving from A over a fixed track as shown in the figure. Surface AB has friction. From A to B the ball rolls without slipping. Surface BC is frictionless. KA, KB and KC are kinetic energies of the ball at A, B and C, respectively. Then
(a) hA > hC ; KB > KC
(b) hA > hC ; KC > KA
(c) hA = hC ; KB = KC
(d) hA < hC ; KB > KC


Chemistry
During the discharge of a lead storage battery, the density of sulphuric acid fell from 1.294 to 1.139 g/ml. Sulphuric acid of density 1.294 g/ml is 39% by weight and that of 1.139 g/ml is 20% H2SO4 by weight. The battery holds 3.5 liters of the acid and the volume remained practically constant during the discharge.
Calculate the number of ampere-hours for which the battery must have been used. The charging and discharging reactions are:
Pb + SO42- = PbSO4 +2e   (Charging)
PbO2 + 4H+ + SO42- + 2e- = PbSO4 + 2H2O (Discharging)

Mathematics
If x>1, y>1, z>1 are in G.P. Then are in

(a) A.P
(b) H.P
(c) G.P
(d) None of these
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