A wire of length 10 mathrm{~cm} and radius sqrt{7} times 10^{-4} mathrm{~m} connected across the right gap of a meter bridge. When a resistance of

Q: A wire of length $10 \mathrm{~cm}$ and radius $\sqrt{7} \times 10^{-4} \mathrm{~m}$ connected across the right gap of a meter bridge. When a resistance of $4.5 \ \Omega$ is connected on the left gap by using a resistance box, the balance length is found to be at $60 \mathrm{~cm}$ from the left end. If the resistivity of the wire is $\mathrm{R} \times 10^{-7} \Omega \mathrm{m}$, then value of $\mathrm{R}$ is :

c For null point, $ \frac{4.5}{60}=\frac{R}{40} $ $ \text { Also, } R=\frac{\rho \ell}{A}=\frac{\rho \ell}{\pi r^2} $ $ 4.5 \times 40=\rho \times \frac{0.1}{\pi \times 7 \times 10^{-8}} \times 60 $ $ \rho=66 \times 10^{-7} \Omega \times \mathrm{m}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

A wire of length $10 \mathrm{~cm}$ and radius $\sqrt{7} \times 10^{-4} \mathrm{~m}$ connected across the right gap of a meter bridge. When a resistance of $4.5 \ \Omega$ is connected on the left gap by using a resistance box, the balance length is found to be at $60 \mathrm{~cm}$ from the left end. If the resistivity of the wire is $\mathrm{R} \times 10^{-7} \Omega \mathrm{m}$, then value of $\mathrm{R}$ is :

A$63$
B$70$
C$66$
D$35$

JEE MAIN 2024, Diffcult

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

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