A bead of mass m is attached to the mid-point of a taut, weightless string of length l and placed on a
frictionless horizontal table Under a small transverse displacement x, as shown, if the tension in the string is T, then the frequency of
oscillation is-
The number of natural numbers n in the interval [1005, 2010] for which the polynomial 1 + x + x^2 + x^3 + …. x^n–1
divides the polynomial 1 + x^2 + x^3 + x^4 + …. + x^2010 is-
(A) 0 (B) 100 (C) 503 (D) 1006