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NEET2010PhysicsMathematics in PhysicsActual

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g , the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e₁ and e₂ respectively, the percentage error in the estimation of g is

Options

  1. Ae ₂- e ₁
  2. Be₁+2 e₂
  3. Ce₁+e₂
  4. De₁-2 e₂

Correct answer

B. e₁+2 e₂

Step-by-step solution

aligned & h= 1 2 g t^2 & or g= h t ^2 & g = h -2 t & ( g g 100 )_ = ( h h 100 )+2 ( t t 100 ) & = e ₁+2 e ₂ & aligned

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