11th Class Physics Physical World / भौतिक जगत

  • question_answer 26)
    A man walking briskly in rain with speed v must slant his umbrella forward making an angle  with the vertical. A student derives the following relation between   and  and checks that the relation has a correct limit :as  as expected. (We are assuming there is no strong wind and that the rainfalls vertically for a stationary man). Do you think this relation can be correct ? If not, guess at the correct relation.  

    Answer:

    Since trigonometric functions are dimensionless,             But          Dimensions of  Dimensions of RHS Hence the given relation is dimensionally wrong. This relation can be corrected by dividing RHS by the speed 'u' of the rainfall. So the corrected relation is .  


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