Intext example V — task. Science CBSE, Class 10.

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Resistance of a metal wire of length 1 $m$ is 26

$Ω$ at $20°C$ . If the diameter of the wire is $0.3\ mm$ , what will be the resistivity of the metal at that temperature? Using table, predict the material of the wire.

Material's nature	Material	Resistivity of material ( $\Omega\ m$ )
Conductors	Silver Copper Aluminium Tungsten Nickel Iron Chromium Mercury Manganese	$1.60\times{10^{-8}}$ $1.62\times{10^{-8}}$ $2.63\times{10^{-8}}$ $5.20\times{10^{-8}}$ $6.84\times{10^{-8}}$ $10.0\times{10^{-8}}$ $12.9\times{10^{-8}}$ $94.0\times{10^{-8}}$ $1.84\times{10^{-6}}$
Alloys	Constantan Manganin Nichrome	$49\times{10^{-6}}$ $44\times{10^{-6}}$ $100\times{10^{-6}}$
Insulators	Glass Hard rubber Ebonite Diamond Dry paper	$10^{10}$ to $10^{14}$ $10^{13}$ to $10^{16}$ $10^{15}$ to $10^{17}$ $10^{12}$ to $10^{13}$ $10^{12}$

[Note: Enter the answer up to two decimal places by rounding off the third decimal value.]

$L$

$=$ 1

$m$

$R$

$=$ 26

$Ω$

$d$

$=$

$0.3\ mm$

On converting

$millimetre$ to

$metre$ , we get

$\times{10^{-4}}\ m$ .

The formula to calculate the resistivity of a material is

$ρ = \frac{i i}{i}$

The formula to calculate the area of cross-section of the wire when diameter is given.

$A = \frac{π i^{i}}{i}$

On substituting the known values in the formula, we get the value of resistivity,

$\rho$

$=$

$\times 10^{- 6} Ω m$

From the given table, it is seen that it is the resistivity of .

$1$

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24. Intext example V

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