A metal rod A of length 25cm expands by 0.05 cm when its temperature is raised from 0°C to 1000
Another rod B of a different metal of length 40cm expands by 0.04 cm for the same rise in temperature.
third rod C of length 50cm is made up of pieces of rods A and B placed end to end expands by 0.03 cm
heating form 0°C to 50°C. Find the length (in cm) of metal A in composite rod C.
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don't know plz don't beat me sorry sorry SORRY
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From the equation of linear thermal expansion,
ΔL=LαΔT
0.05=25α
1
(100)
α
1
=2X10
−5
cm/
0
C
0.04=40α
2
(100)
α
2
=10
−5
cm/
0
C
Thus, for the combined rod,
0.03=x(2X10
−5
)(50)+(50−x)(10
−5
)(50)
50+x=60
x=10cm, 50−x=40cm
Answer is 10cm and 40cm
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