What should be the length of aluminium and steel rod- so that steel rod is always 10 cm longer than aluminium- at all temperatures- - - Al -12 - 10-5 -0 C- -Steel -7 - 10-5 - C -A- lSteel -18 cm l Al -8 cmB- lSteel -16 cm l Al -6 cmC- lSteel -28 cm l Al -18 cmD- lSteel -24 cm l Al -14 cm

The lengths of steel and copper rods are so that the length of the steel rod is 5 cm longer than that of the copper rod at all temperatures, then length of each rod, are ( $α$ for copper = $1.7 \times 10^{- 5} /^{\circ} C$ and $α$ for steel = $1.1 \times 10^{- 5} /^{\circ} C$ ) -

Q. What should be length of Steel and Copper Rods at

0^{o} C

that the length of steel is always

5 c m

longer than copper, given

α

for steel N Copper are

1.7 \times 10^{- 5}

and

1.1 \times 10^{- 5}

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What should be the length of aluminium and steel rod, so that steel rod is always 10 cm longer than aluminium, at all temperatures? αAl=12×10−5/oC αSteel=7×10−5/oC

The correct option is D lSteel=24 cm lAl=14 cmlSteel−lAl=10 cm ΔlSteel=ΔlAl lSαSΔtS=lAlαAlΔtAl (lAl+10)αS=lAlαAl lAl+10lAl=αAlαS=127 7(lAl+10)=12lAl lAl=14 cm lSteel=24 cm

What should be the length of aluminium and steel rod, so that steel rod is always 10 cm longer than aluminium, at all temperatures?
$α_{A l} = 12 \times 10 - 5 /^{o} C$
$α_{S t e e l} = 7 \times 10 - 5 /^{o} C$