For the arrangement of the potentiometer shown in the figure, the balance point is obtained at a distance 75,cm from A when the key k

Q: For the arrangement of the potentiometer shown in the figure, the balance point is obtained at $a$ distance $75\,cm $ from $A$ when the key $k$ is open. The second balance point is obtained at $60\, cm$ from $A$ when the key $k$ is closed. Find the internal resistance (in $ \Omega$) of the battery $E_1$.

b Let $\lambda$ is resistance per unit length of wire $\mathrm{AB}.$ When $\mathrm{k}$ is opened $\left| {\left( {\lambda {x_1}} \right) = {E_1}} \right. \ldots ..(1)$ $\mathrm{k}$ is closed $|\lambda {x_2} = {E_1} - ir \ldots (2)$ $\mathrm{i}=\frac{\mathrm{E}_{1}}{\mathrm{R}+\mathrm{r}} \ldots(3)$ $\Rightarrow r=\left(\frac{x_{1}}{x_{2}}-1\right) R=\left(\frac{0.75}{0.60}-1\right) 24 ; r=6\, \Omega$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

For the arrangement of the potentiometer shown in the figure, the balance point is obtained at $a$ distance $75\,cm $ from $A$ when the key $k$ is open. The second balance point is obtained at $60\, cm$ from $A$ when the key $k$ is closed. Find the internal resistance (in $ \Omega$) of the battery $E_1$.

A$3$
B$6$
C$9$
D$12$

Diffcult

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

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