When sphere is placed on the top of the inclined plane then it has only potential enegy.as it rolls down then its potential energy is converted into linear kinetic energy and rotational kinetic energy.when it reaches to the bottom then its whole potential energy is converted into partly into translational kinetic energy and partly into rotational kinetic energy.
from Law of conservation of energy-
Potential energy at the top=(Translation+rotational) K.E. at the bottom
---------------------------------(1)
But for solid sphere moment of inertia-
and
using above in equation(1)
Hence option D is correct...
(If further have any doubt then comment me...)
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