Q. 30
The length L (in centimeters) 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 = 110, express L is term of C.
Answer :
Given: L - aC + b
Now L = 124.942 and C = 20
Therefore, 20a + b = 124.942 ….(1)
Again when L = 125.134 and C = 110
110a + b = 125.134
From (i) and (ii) on substraction
90a = 0.192
or a =
⇒ 20 × = 124.942
or b = 124.942 -
Thus, L = +124.942 -
Hence, L =
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