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    If a wire of length 10 m having cross section area of 1m² and a resistance of 5 ohms the specific resistance of the material is:
    Question

    If a wire of length 10 m having cross section area of 1m² and a resistance of 5 ohms the specific resistance of the material is:

    A.

    0.5 ohm-meter

    B.

    2 ohm-meter

    C.

    0.2 ohm-meter

    D.

    1 ohm-meter

    Correct option is A

    The specific resistance (resistivity) of a material is calculated using:ρ=RALWhere:ρ = Resistivity (ohm-meter)R = Resistance (ohms)A = Cross-sectional area (m2)L = Length (m)Given:R=5 Ω,A=1 m2,L=10 mSubstituting the values:ρ=5 Ω1 m210 mρ=510 Ω-meterρ=0.5 Ω-meter\text{The specific resistance (resistivity) of a material is calculated using:} \\\\\rho = \frac{R \cdot A}{L} \\\\\text{Where:} \\\rho \text{ = Resistivity (ohm-meter)} \\R \text{ = Resistance (ohms)} \\A \text{ = Cross-sectional area (m}^2\text{)} \\L \text{ = Length (m)} \\\\\text{Given:} \\R = 5\ \Omega, \\A = 1\ \text{m}^2, \\L = 10\ \text{m} \\\\\text{Substituting the values:} \\\rho = \frac{5\ \Omega \cdot 1\ \text{m}^2}{10\ \text{m}} \\\\\rho = \frac{5}{10}\ \Omega\text{-meter} \\\\\rho = 0.5\ \Omega\text{-meter}​​

    Therefore, the specific resistance of the material is 0.5 ohm-meter.
    The correct answer is (a) 0.5 ohm-meter.

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