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Physics
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a_c is varying with time t as a_c = k²rt² where k is a constant. The power delivered to the particle by the force acting on it is:
Chemistry
In face centered cubic (fcc) crystal lattice, edge length is 400pm. Find the diameter of greatest sphere, which can be fit into the interstitial void without distortion of lattice.
Mathematics
Let n (>1) be a positive integer. Then the largest integer m such that (n^m + 1) divides (1 + n + n² + --------- + n¹²⁷) is (a)127 (b) 63 (c) 64 (d) 32

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