On a calm day a boat can go across a lake and return in time T0 at a speed v. On a rough…

Physics · JEE Advanced · NTA ExamsKinematics

On a calm day a boat can go across a lake and return in time T0 at a speed v. On a rough day there is uniform current at speed u to help the onward journey and impede the return journey. If the time taken to go across and return on the rough day be T, then T/T0 is:
  1. \(1-\frac{u^{2}}{v^{2}}\)
  2. \(\frac{1}{1-\frac{u^{2}}{v^{2}}}\)
  3. \(1+\frac{u^{2}}{v^{2}}\)
  4. \(\frac{1}{1+\frac{u^{2}}{v^{2}}}\)

Answer

(B) 1 1- u^ 2 v^ 2

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