A ball of mass m hits a wall with a speed v making an angle \[\frac{5g}{14}\] with the normal. If the coefficient is e, the direction and magnitude of the velocity of ball after reflection from the wall will respectively be -

• A. \[{{\tan }^{-1}}\left( \frac{\tan \theta }{e} \right),\,v\sqrt{{{\sin }^{2}}\theta +{{e}^{2}}{{\cos }^{2}}\theta }\]
• B. \[{{\tan }^{-1}}\left( \frac{e}{\tan \theta } \right),\frac{1}{v}\sqrt{{{e}^{2}}{{\sin }^{2}}\theta +{{\cos }^{2}}\theta }\]
• C. \[{{\tan }^{-1}}(e\tan \theta ),\frac{v}{e}\tan \theta \]
• D. \[{{\tan }^{-1}}(e\tan \alpha ),v\sqrt{{{\sin }^{2}}\theta +{{e}^{2}}}\]