A copper rod of length 88 cm and an aluminium rod of unknown length have their increase in length independent of an increase in temperature. The length of the aluminium rod is? (αCu = 1.7 x 10-5 K-1 and αAl = 2.2 x 10-5 K-1)

By Ritesh|Updated : November 12th, 2022

(a) 6.8 cm

(b) 113.9 cm

(c) 88 cm

(d) 68 cm

A copper rod of length 88 cm and an aluminum rod of unknown length have their increase in length independent of an increase in temperature. The length of the aluminium rod is 68 cm. Since both rods' elongations are equal:

(Δl)Cu = (Δl)Al

ICu αCu ΔT = IAl αAl ΔT

Substituting the values we get

88 x 1.7 x 10-5 = IAl x 2.2 x 10-5

IAl = 68 cm.

Uses of Copper

  • A common agricultural toxin and algicide used in water purification is copper sulphate.
  • Copper is an essential component in the production of bronze, even though some people might not think of it as being used for anything besides coinage.
  • The first metal that humanity ever worked on was copper, according to history. The Bronze Age got its name when it was realised that metals could be made harder by adding a little tin to create the alloy bronze.
  • It is used for a wide variety of products, including cans, foil for cooking, saucepans, and electricity lines for aeroplanes and spacecraft.
  • Due to the fact that wire accounts for more than 50% of all copper use worldwide, electrical conductivity is particularly crucial.

Uses of Aluminium

  • It is utilised as castings in the transportation of autos, trucks, and railroads.
  • You can find it in the packing.
  • Al(II) compounds are seen when oxidants like oxygen react with alkali metals.
  • Aluminium can be identified in qualitative analysis using aluminon.

Summary:

A copper rod of length 88 cm and an aluminium rod of unknown length have their increase in length independent of an increase in temperature. The length of the aluminium rod is? (αCu = 1.7 x 10-5 K-1 and αAl = 2.2 x 10-5 K-1) (a) 6.8 cm (b) 113.9 cm (c) 88 cm (d) 68 cm

A copper rod of length 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of the aluminium rod is 68 cm.

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