Physics-
General
Easy

Question

Two bodies are thrown vertically upwards with their initial speed in the ratio 2 blank colon 3. The ratio of the maximum heights reached by then and the ratio of their time taken by them to return back to the ground respectively are

  1. 4 blank colon 9 and 2 blank colon 3  
  2. 2 blank colon 3 and square root of 2 blank colon blank square root of 3  
  3. square root of 2 blank colon blank square root of 3 and 4 blank colon 9  
  4. square root of 2 blank colon blank square root of 3 and 2 blank colon 3  

The correct answer is: 4 blank colon 9 and 2 blank colon 3


    v equals u minus g t
    At max height v to the power of 2 end exponent equals u to the power of 2 end exponent minus 2 g h
    t equals fraction numerator u over denominator g end fraction blank h equals fraction numerator u to the power of 2 end exponent over denominator 2 g end fraction
    fraction numerator t subscript 1 end subscript over denominator t subscript 2 end subscript end fraction equals fraction numerator 2 over denominator 3 end fraction fraction numerator h subscript 1 end subscript over denominator h subscript 2 end subscript end fraction equals open parentheses fraction numerator 2 over denominator 3 end fraction close parentheses to the power of 2 end exponent equals fraction numerator 4 over denominator 9 end fraction

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