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How can the depth of well is measured and also estimate the % of real error .

Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :(i) Consider a well without water, of some depth d . Take a small object ( for example lemon ) and a stopwatch . When you drop the lemon, start the stop watch . As <a href="https://interviewquestions.tuteehub.com/tag/soon-3049924" style="font-weight:bold;" target="_blank" title="Click to know more about SOON">SOON</a> as the lemon touches the bottom of the well , stop the watch . Note the time taken by the lemon to reach the bottom and denote the time as t. <br/>(ii) Since the <a href="https://interviewquestions.tuteehub.com/tag/initial-499269" style="font-weight:bold;" target="_blank" title="Click to know more about INITIAL">INITIAL</a> velocity of lemon `u = 0` and the <a href="https://interviewquestions.tuteehub.com/tag/acceleration-13745" style="font-weight:bold;" target="_blank" title="Click to know more about ACCELERATION">ACCELERATION</a> due to gravity g is constant over the well, by using use the equations of motion for constant acceleration.<br/> `s=ut+(1)/(2)at^(2)` <br/>(iii) `u=0, s=d, a=g` (Since we choose the y axis downwards), Then <br/> `d=(1)/(2)g t^(2)` <br/> (iv) Substituting`g = 9.8 ms^(-2)`the depth of the well is obtained . <br/>(v) To estimate the error in calculation another method is used to measure the depth of the well . <br/>(vi) Take a long rope and hang the rope inside the well <a href="https://interviewquestions.tuteehub.com/tag/till-709848" style="font-weight:bold;" target="_blank" title="Click to know more about TILL">TILL</a> it touches the bottom . Measure the length of the rope which is the correct depth of the well `(d_("correct") )`. Then <br/> `"error"=d_("correct")-d` <br/> `"relative error"=(d_("correct")-d)/(d)` <br/> percentage of relative error <br/> `=(d_("correct")-d)/(d_("correct"))xx100`</body></html>


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