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NEET2017PhysicsMotion in One DimensionActual

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t 1 . On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t 2 . The time taken by her to walk up on the moving escalator will be

Options

  1. At 1 + t 2 2
  2. Bt 1 t 2 t 2 - t 1
  3. Ct 1 t 2 t 2 + t 1
  4. Dt 1 - t 2

Correct answer

C. t 1 t 2 t 2 + t 1

Step-by-step solution

Let d be the displacement of the escalator. Velocity of girl w.r.t. elevator = d t 1 = v g e Velocity of elevator w.r.t ground v e G = d t 2 Then velocity of girl w.r.t ground v → g G =   v → g e + v → e G   i.e., V g G = V g e + V e G d t = d t 1 + d t 2 1 t = 1 t 1 + 1 t 2 t = t 1   t 2 t 1 + t 2

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