If a particle is projected with speed u from ground at an angle with horizontal, then radius of curvature of a point where velocity vector is perpendicular to initial velocity vector is given by

• A. \[\frac{{{u}^{2}}{{\cos }^{2}}\theta }{g}\]
• B. \[\frac{{{u}^{2}}{{\cot }^{2}}\theta }{g\sin \theta }\]
• C. \[\frac{{{u}^{2}}}{g}\]
• D. \[\frac{{{u}^{2}}{{\tan }^{2}}\theta }{g\cos \theta }\]