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

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

ScanSolve AI Answer

Answer

A) 0.5 , m

Step 1: Translate Question 1. The question asks: "What is the focal length of a lens with a power of +2D?"

Step 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=+2DP = +2 \, \text{D}. f=1P=12D=0.5mf = \frac{1}{P} = \frac{1}{2 \, D} = 0.5 \, \text{m}

Step 3: Identify the correct option for Question 1. The calculated focal length is 0.5m0.5 \, \text{m}. Comparing with the given options: (A) 0.5m0.5 \, \text{m} (B) 2m2 \, \text{m} (C) 0.2m0.2 \, \text{m} (D) 5m5 \, \text{m} The correct option is (A). The answer for question 1 is A)0.5m\boxed{A) 0.5 \, m}.

Step 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 20C20^\circ \text{C}.

Step 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=2.63×108Ωm\rho_{K} = 2.63 \times 10^{-8} \, \Omega \cdot \text{m} • Material L: ρL=5.20×108Ωm\rho_{L} = 5.20 \times 10^{-8} \, \Omega \cdot \text{m} • Material M: ρM=1.60×108Ωm\rho_{M} = 1.60 \times 10^{-8} \, \Omega \cdot \text{m} • Material N: ρN=6.84×108Ωm\rho_{N} = 6.84 \times 10^{-8} \, \Omega \cdot \text{m}

Step 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 10810^{-8} in mind, the smallest value is 1.601.60. Therefore, Material M has the lowest resistivity.

Step 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{C) M}.

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Translate Question 1. The question asks: "What is the focal length of a lens with a power of +2D?" Step 2: Calculate the focal length.

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

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Translate Question 1. The question asks: "What is the focal length of a lens with a power of +2D?" Step 2: Calculate the focal length. The power of a lens (P) is the reciprocal of its focal length (f) in meters. P = (1)/(f) Given P = +2 \, D. f = (1)/(P) = (1)/(2 \, D) = 0.5 \, m Step 3: Identify the correct option for Question 1. The calculated focal length is 0.5 \, m. Comparing with the given options: (A) 0.5 \, m (B) 2 \, m (C) 0.2 \, m (D) 5 \, m The correct option is (A). The answer for question 1 is A) 0.5 \, m. Step 4: Translate Question 2. The question asks: "Which of these materials is the best conductor of electricity?" The table provides the resistivity () of four materials (K, L, M, N) at 20^ C. Step 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: _K = 2.63 × 10^-8 \, · m • Material L: _L = 5.20 × 10^-8 \, · m • Material M: _M = 1.60 × 10^-8 \, · m • Material N: _N = 6.84 × 10^-8 \, · m Step 6: Compare the resistivity values. Comparing the numerical values (2.63, 5.20, 1.60, 6.84) while keeping the exponent 10^-8 in mind, the smallest value is 1.60. Therefore, Material M has the lowest resistivity. Step 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.