Two identical metallic spheres having unequal opposite charges are placed at a distance of 0.50m apart in air. After bringing them in contact with each other they are again placed at the same distance apart. Now the force of repulsion between them is 0.108N. Calculate the final charge on each of them?
(a) 1.732 C�        (b) 2.5 C�        (c) 1.62 C�        (d) 2.3 C

Magnetite, Fe₃0₄, can be converted into metallic iron by heating with carbon monoxide as represented by this equation.
Fe₃0₄(s) + 4 CO(g) 3 Fe(s) + 4 CO₂(g)
How many kilograms of Fe₃0₄ must be processed in this way to obtain 5.00 kg of iron if the process is 85% efficient?
Molar Mass of Fe₃0₄ =232 g mol^-1
(a) 6.92 kg (b) 8.15 kg (c) 20.8 kg (d) 24.4 kg

Let g(x) = , where ’f’ is such that
    (½)  f(t)  1 for t [0,1] and 0   f(t)   (1/2) for t [1,2]
Then g(2) satisfies the inequality,

(a) –(3/2)   g(2) < (1/2)
(b) 0   g(2) < 2
(c) (3/2) < g(2)  (5/2)
(d) 2 < g(2) < 4