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Properties of Matter question

2019 · Q157
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Properties of Matter question

2019 · Q157

NEETPhysicsProperties of MatterMCQ+4 / −1
A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in tmperature. The length of aluminium rod is : (α\alphaαCu = 1.7 × 10–5 K–1 and α\alphaαAl = 2.2 × 10–5 K–1)
  1. A
    119.9 cm
  2. B
    88 cm
  3. C
    68 cm
  4. D
    6.8 cm
View written solutionFree

Correct answer: C

At any temperature

(Δl)Cu=(Δl)Al{\left( {\Delta l} \right)_{Cu}} = {\left( {\Delta l} \right)_{Al}}(Δl)Cu​=(Δl)Al​

lCuαCuΔT=lAlαAlΔT{l_{Cu}}{\alpha _{Cu}}\Delta T = {l_{Al}}{\alpha _{Al}}\Delta TlCu​αCu​ΔT=lAl​αAl​ΔT

⇒\Rightarrow⇒ 88 ×\times× 1.7 ×\times× 10-5 = lAl{l_{Al}}lAl​ ×\times× 2.2 × 10–5

⇒\Rightarrow⇒ lAl{l_{Al}}lAl​ = 68 cm

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