The current flowing through a conductor connected across a source is 2,A and 1.2,A at 0^{circ},C and 100^{circ},C respectively. The current flowing through the conductor

Q: The current flowing through a conductor connected across a source is $2\,A$ and $1.2\,A$ at $0^{\circ}\,C$ and $100^{\circ}\,C$ respectively. The current flowing through the conductor at $50^{\circ}\,C$ will be $......\times 10^2\,mA$.

d $i_0 R_0=i_{100} R_{100} \quad$ [For same source] $\Rightarrow 2 R_0=1.2 R_0[1+100 \alpha]$ $\Rightarrow 1+100 \alpha=\frac{5}{3} \Rightarrow 100 \alpha=\frac{2}{3}$ $\Rightarrow 50 \alpha=\frac{1}{3}$ $\therefore i_{50} R_{50}=i_0 R_0$ $\Rightarrow i_{50}=\frac{i_0 R_0}{R_{50}}=\frac{2 \times R_0}{R_0(1+50 \alpha)}=\frac{2}{1+\frac{1}{3}}=1.5\,A$ $=15 \times 10^2\,mA$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

The current flowing through a conductor connected across a source is $2\,A$ and $1.2\,A$ at $0^{\circ}\,C$ and $100^{\circ}\,C$ respectively. The current flowing through the conductor at $50^{\circ}\,C$ will be $......\times 10^2\,mA$.

A$14$
B$13$
C$12$
D$15$

JEE MAIN 2023, Diffcult

STD 11 Science
JEE
STD 12 - 3. current electricity
Physics

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