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The table shows the resistivity of some materials at 20°C. Which of the following is the best conductor of electricity?

Physics

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Answer

A

Step-by-step solution

7 steps
  1. Translate Question 1.

    The question asks: "What is the focal length of a lens with a power of +2D?"

  2. Calculate the focal length.

    The power of a lens (PP) is the reciprocal of its focal length (ff) in meters.

    P=1fP = \frac{1}{f}

    Given P=+2 DP = +2 \, \text{D}.

    f=1P=12 D=0.5 mf = \frac{1}{P} = \frac{1}{2 \, \text{D}} = 0.5 \, \text{m}
  3. Identify the correct option for Question 1.

    The calculated focal length is 0.5 m0.5 \, \text{m}.
    Comparing with the given options:
    (A) 0.5 m0.5 \, \text{m}
    (B) 2 m2 \, \text{m}
    (C) 0.2 m0.2 \, \text{m}
    (D) 5 m5 \, \text{m}
    The correct option is (A).
    The answer for question 1 is A) 0.5 m\boxed{\text{A) } 0.5 \, \text{m}}.

  4. Translate Question 2.

    The question asks: "Which of these materials is the best conductor of electricity?"
    The table provides the resistivity (ρ\rho) of four materials (K, L, M, N) at 20∘C20^\circ \text{C}.

  5. Analyze the resistivity values.

    A material with lower resistivity is a better conductor of electricity. We need to find the material with the smallest resistivity value.
    The given resistivity values are:

    • Material K: ρK=2.63×10−8 Ω⋅m\rho_{\text{K}} = 2.63 \times 10^{-8} \, \Omega \cdot \text{m}
    • Material L: ρL=5.20×10−8 Ω⋅m\rho_{\text{L}} = 5.20 \times 10^{-8} \, \Omega \cdot \text{m}
    • Material M: ρM=1.60×10−8 Ω⋅m\rho_{\text{M}} = 1.60 \times 10^{-8} \, \Omega \cdot \text{m}
    • Material N: ρN=6.84×10−8 Ω⋅m\rho_{\text{N}} = 6.84 \times 10^{-8} \, \Omega \cdot \text{m}
  6. Compare the resistivity values.

    Comparing the numerical values (2.63,5.20,1.60,6.842.63, 5.20, 1.60, 6.84) while keeping the exponent 10−810^{-8} in mind, the smallest value is 1.60.
    Therefore, Material M has the lowest resistivity.

  7. Identify the correct option for Question 2.

    The material with the lowest resistivity is M, making it the best conductor.
    Comparing with the given options:
    (A) N
    (B) K
    (C) M
    (D) L
    The correct option is (C).
    The answer for question 2 is C) M\boxed{\text{C) M}}.

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