An aeroplane is to go along straight line from \[A\] to \[B\], am back again. The relative speed with respect to wind is \[V\] The wind blows perpendicular to line AB with speed v The distance between \[A\] and \[B\] is \[l\]. The total time for round trip is

\[\frac{2v\ell }{{{V}^{2}}-{{v}^{2}}}\]

\[\frac{2\ell }{\sqrt{{{V}^{2}}-{{v}^{2}}}}\]

\[\frac{2V\ell }{{{V}^{2}}-{{v}^{2}}}\]

\[\frac{2\ell }{\sqrt{{{V}^{2}}+{{v}^{2}}}}\]

An aeroplane is to go along straight line from \[A\] to \[B\], am back

1.	An aeroplane is to go along straight line from \[A\] to \[B\], am back again. The relative speed with respect to wind is \[V\] The wind blows perpendicular to line AB with speed v The distance between \[A\] and \[B\] is \[l\]. The total time for round trip is
A.	\[\frac{2\ell }{\sqrt{{{V}^{2}}-{{v}^{2}}}}\]
B.	\[\frac{2v\ell }{{{V}^{2}}-{{v}^{2}}}\]
C.	\[\frac{2V\ell }{{{V}^{2}}-{{v}^{2}}}\]
D.	\[\frac{2\ell }{\sqrt{{{V}^{2}}+{{v}^{2}}}}\]
Answer» B. \[\frac{2v\ell }{{{V}^{2}}-{{v}^{2}}}\]