The wind appears to blow from the north to a man moving in the north-east direction. When he doubles his velocity the wind appears to move in the direction cot−1 (2) east of north. The actual direction of the wind is

Question : The wind appears to blow from the north to a man moving in the north-east direction. When he doubles his velocity the wind appears to move in the direction cot−1 (2) east of north. The actual direction of the wind is

(A) √2𝑣 towards east

(B) $\dfrac{v}{\sqrt{2}}$ towards west

(C) √2 𝑣 towards west

(D) $\dfrac{v}{\sqrt{2}}$ towards east