In the experimental setup of meter bridge shown in the figure, the null point is obtained at a distance of 40,cm from A. If a

Q: In the experimental setup of meter bridge shown in the figure, the null point is obtained at a distance of $40\,cm$ from $A$. If a $10\,\Omega $ resistor is connected in series with $R_1$, the null point shifts by $10\,cm$. The resistance that should be connected in parallel with $\left( {{R_1} + 10} \right)\,\Omega $ such that the null point shifts back to its initial position is .............. $\Omega$

c $\frac{R_{1}}{R_{2}}=\frac{2}{3}$ .....$(i)$ $\frac{R_{1}+10}{R_{2}}=1$ $\Rightarrow \quad R_{1}+10=R_{2}$ .....$(ii)$ $\frac{2 \mathrm{R}_{2}}{3}+10=\mathrm{R}_{2} \quad ; \quad 10=\frac{\mathrm{R}_{2}}{3}$ $\Rightarrow \quad \mathrm{R}_{2}=30\, \Omega \quad \& \quad \mathrm{R}_{1}=20\, \Omega$ $\frac{\frac{30 \times \mathrm{R}}{30+\mathrm{R}}}{30}=\frac{2}{3}$ $\mathrm{R}=60 \,\Omega$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

In the experimental setup of meter bridge shown in the figure, the null point is obtained at a distance of $40\,cm$ from $A$. If a $10\,\Omega $ resistor is connected in series with $R_1$, the null point shifts by $10\,cm$. The resistance that should be connected in parallel with $\left( {{R_1} + 10} \right)\,\Omega $ such that the null point shifts back to its initial position is .............. $\Omega$

A$20$
B$40$
C$60$
D$30$

JEE MAIN 2019, Diffcult

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

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