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  • The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = 124.942 when C = 20 and L= 125.134 when C = 110, express L in terms of C.

Q : 16         The length  L(in centimetre) of a copper rod is a linear function of its Celsius  temperature C.  In an experiment, if  L=124.942  when C=20 and  L=125.134 when C=110, express L in terms of C. 

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best_answer

It is given that
If C=20 then L=124.942
and  If  C=110  then  L=125.134
Now, if assume C along x-axis and L along y-axis
Then, we will get coordinates of two points (20 , 124.942)  and (110 , 125.134)
Now, the relation between C and L is given by equation
(L-124.942)= \frac{125.134-124.942}{110-20}(C-20)
(L-124.942)= \frac{0.192}{90}(C-20)
L= \frac{0.192}{90}(C-20)+124.942
Which is the required relation

Posted by

Gautam harsolia

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