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Physics
Two light springs of force constants k₁ and k₂ and a block of mass m are in one line AB on a smooth horizontal table such that one end of each spring is fixed on rigid supports and the other end is free as shown in the figure. The distance CD between the free ends of the springs is 60 cms. If the block moves along AB with a velocity 120 cm/sec in between the springs, calculate the period of oscillation of the block. (Given k₁= 1.8 N/m, k₂ = 3.2 N/m, m = 200gm)
Chemistry
Find the solubility product of a saturated solution of Ag₂CrO₄ in water at 298K if the emf of the cell Ag\|Ag⁺ (satd. Ag₂CrO₄ Sol) \|\| Ag⁺ (0.1M)\| Ag is 0.164 V at 298K.
Mathematics
The number of solutions of log₄ (x –1) = log₂ (x –3) is (a) 3 (b) 1 (c) 2 (d) 0

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