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Growth of science in africa

   Mathematical sound
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Physics quastion

      Temperature
QN:1

     If two temperatures differ by 25 degrees on celsius scale, what is the difference on Fahrenheit scale.

                Solution

        Let temperatures in Celsius scale be c¹ and c² in fahnreheit be f¹ and f².

    

          Given

    c¹-c²=25°

    f¹-f²=required.

     

        Hints.  

   (f¹-32)/9=c¹/5......(i)

   (f²-32)/9=c²/5......(ii)

         Take equation(i) into equation(ii)

       

       (f¹-32)/9 - (f²-32)/9 = c¹/5 - c²/5

               So we get.

    (f¹-f²)/9 = (c¹-c²)/5

           

        Hence

    f¹ - f² = 9/5(c¹ - c²).

   Then

 f¹ - f² = 9/5(25).  came from (c²-c²)=25°

      So that

    f¹ - f² = 45°.

                     Thus deference in Fahrenheit scale is 45°.