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Physics
A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = -kx + ax3. Here k and a are positive constants. For , the functional form of the potential energy U (x) of the particle is
   

Chemistry
The standard oxidation potentials, E0, for the half reactions are as
Zn = Zn2+ + 2e-; E0 = +0.76V
Fe = Fe2++2e; E0 = +0.41V
The EMF for the cell oxidation:

(a) –0.35V
(b) +0.35V
(c) +1.17V
(d) –1.17V

Mathematics
For any odd integer ,  
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