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AP EAMCET202316 May 2023Evening ShiftPhysicsMotion in One DimensionActual

Two bodies of masses ' m ₁ ^ and ' m ₂ ' are dropped from two different heights h₁ and h₂ respectively. The ratio of the times taken by the two masses to touch the ground is (neglect air resistance)

Options

  1. Ah ₁ ~h ₂
  2. Bm₁ h₁ m₂ h₂
  3. Cm ₁ ~h ₂ ~m ₂ ~h ₁
  4. Dh ₁ ~h ₂

Correct answer

D. h ₁ ~h ₂

Step-by-step solution

from the equation of motion aligned & S = ut + 1 2 at ^2 & take u =0 ~S ₁= h ₁, ~S ₂= h ₂ & ~h ₁= 1 2 ~g t ₁ ^2 ; h ₂= 1 2 gt ₂ ^2 & t ₁ t ₂ = h ₁ ~h ₂ aligned

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