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Standard XII

Physics

Thermal Expansion

A force of ...

Question

A force of $20 N$ is applied at one end of a wire of length $2$ m and having area of cross-section $10^{2} c m^{2}$ . The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire $a = 8 \times 10^{4} /^{0} C$ and Young's modulus $Y = 2.2 \times 10^{13} k / m^{2}$ and its temperature is increased by $5^{0} C$ . then the increase in the tension of the wire will be

4.2

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4.4

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2.4

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8.8

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Solution

The correct option is B $8.8$ N
Increase in tension of wire = $Y A α Δ θ$
$= 8 \times 10^{- 6} \times 2.2 \times 10^{11} \times 10^{- 2} \times 10^{- 4} \times 5 = 8.8 N$

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The correct option is B 8.8 NIncrease in tension of wire = YAαΔθ=8×10−6×2.2×1011×10−2×10−4×5=8.8N

The correct option is B $8.8$ N
Increase in tension of wire = $Y A α Δ θ$
$= 8 \times 10^{- 6} \times 2.2 \times 10^{11} \times 10^{- 2} \times 10^{- 4} \times 5 = 8.8 N$