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Byju's Answer

Standard XII

Mathematics

Average Rate of Change

A steel wire ...

Question

A steel wire of length $20 c m$ and uniform cross-section $1 m m^{2}$ is tied rigidly at both the ends. The temperature of the wire is altered from $40^{o} C$ to $20^{o} C$ . Coefficient of linear expansion for steel $α = 1.1 \times 10^{- 5} /^{o} C$ and $Y$ for steel is $2.0 \times 10^{11} N / m^{2}$ . The change in tension of the wire is

2.2 \times 10^{6}

newton

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16

newton

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8

newton

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44

newton

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Solution

The correct option is B $44$ newton
$F = Y A α t = (2.0 \times 10^{11}) (10^{- 6}) (1.1 \times 10^{- 5}) (20) = 44$ newton

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A steel wire of length 20 cm and uniform cross-section 1 mm2 is tied rigidly at both the ends. The temperature of the wire is altered from 40oC to 20oC. Coefficient of linear expansion for steel α=1.1×10−5/oC and Y for steel is 2.0×1011 N/m2. The change in tension of the wire is

The correct option is B 44 newtonF=YAαt=(2.0×1011)(10−6)(1.1×10−5)(20)=44 newton

The correct option is B $44$ newton
$F = Y A α t = (2.0 \times 10^{11}) (10^{- 6}) (1.1 \times 10^{- 5}) (20) = 44$ newton