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JEE Main 202310 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Evening Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2023 · 10 April · Evening Shift · Physics · Current Electricity

A rectangular parallelopiped is measured as 1cm × 1cm × 100cm . If...

A rectangular parallelopiped is measured as 1cm×1cm×100cm1cm \times 1cm \times 100cm. If its specific resistance is 3×10−7Ωm3 \times {10}^{- 7}Ωm, then the resistance between its two opposite rectangular faces will be _____×10−7Ω\times {10}^{- 7}Ω.

A rectangular parallelopiped is measured as 1cm × 1cm × 100cm . If its specific resistance is 3 × 10 ^ - 7 Ωm , then

Correct answer

0

Step-by-step solution

A rectangular parallelopiped is measured as 1cm × 1cm × 100cm . If its specific resistance is 3 × 10 ^ - 7 Ωm , then

It is given that

l=1cm=0.01ml = 1cm = 0 . 01m

A=100cm×1cm=100cm2A = 100cm \times 1cm = 100{cm}^{2}

⇒A=0.01m2⇒ A = 0 . 01{m}^{2}

ρ=3×10−7Ωmρ = 3 \times {10}^{- 7}Ωm

Using the formula of resistance,

R=ρlA=3×10−7×0.010.01=3×10−7ΩR = \dfrac{ρl}{A} = \dfrac{3 \times {10}^{- 7} \times 0 . 01}{0 . 01} = 3 \times {10}^{- 7}Ω

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