11th Class Physics Physical World / भौतिक जगत

  • question_answer 23)
    Just as precise measurements are necessary in science, it is equally important to be able to make rough estiamtes of quantities using rudimentary ideas and common observations. Think of ways by which you can estimate the following (where an estimate is difficult to obtain, try to get an upper bound on the quantity): (a) the total mass of rain-bearing clouds over India during the Monsoon (b) the mass of an elephant (c) the wind speed during a storm (d) the number of strands of hair on your head (e) the number of air molecules in your classroom.  

    Answer:

                    (a) The average rainfall during the Monsoon in India is about 100 cm or 1 m. Total surface area of India Volume of rain water,   Density of water, Hence total mass of rain-bearing clouds over India, . (b) To estimate the mass of an elephant, consider a boat of base area A in a river. Let  be the depth of the boat inside water. Now move the elephant into the boat. Again measure the depth  of the boat inside water. Volume of water displaced by elephant   According to Archimedes? principle, mass of the elephant is m = Mass of water displaced by the elephant   Mass of an elephant is about 103 kg. (c) The wind speed during a storm can be measured by floating a gas filled balloon in air. When there is no wind storm, suppose the balloon is at vertical height  from the ground. Due to the wind storm, suppose the balloon moves to position B in a small time interval t, as shown in Fig. 2.16.     If  is the angle of drift of the balloon, then from right angled                    or              Hence the wind speed during the storm, . (d) First we count the strands of hair of  area of the head. Then by multiplying it by the total area of the head, we can estimate the total number of stands of hair on the head. Its order of magnitude may be as large as . (e) The dimensions of a typical classroom are   Volume of the class room Now one mole of air molecules occupy a volume of 22.4 litres or .  Number of molecules in   Number of molecules in the classroom    molecules.  


You need to login to perform this action.
You will be redirected in 3 sec spinner