Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
If E denotes electric field in a uniform conductor, I corresponding current through it, \[{{v}_{d}}\]drift velocity of electrons and P denotes thermal power produced in the conductor, then which of the following graphs is/are correct? (1)
(2) 
(3) 
(4) 
A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: A
Solution :
\[E=\frac{IR}{L}=\frac{I\rho l}{A}=nev\,d\rho l\] ie, \[{{v}_{d}}\propto E\] (Straight line) \[P={{I}^{2}}R{{\left( \frac{EA}{l} \right)}^{2}}R\] ie, \[P\propto {{E}^{2}}\] (Symmetric parabola) Also \[P\propto {{I}^{2}}\] (Symmetric parabola)
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