14. An iron rod of length 50cm is joined at an end to copper rod of length 100cm at 20°C. Find the length of the system at 100°C and average coefficient of linear expansion of the system. (Qiron = 12 x10/°C anda copper =17x10-6/°C.).Can u pls solve it
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Answer:
The average linear expansion coefficient of composite system is 3 x10-³ cm/C.
The average linear expansion coefficient of two systems are given as
1₁ + 12, where I, and 1₂ are the linear expansion of each system.
and I = length x coefficient of linear expansion
For Iron,
length = 50cm
coefficient of linear expansion = 12×10-6/ C
So, I, 50 x 12x10-6 = 6x10-4 cm/C
For Aluminium,
length = 100cm
coefficient of linear expansion = 24x10-6 / C
So, 1₂= 100 x 24x10-6 =24x10-4 cm/C
So, total linear expansion coefficient of
the system is 1₁ + 1₂ = (6x10-4 +24x10-4) cm/C= 30 x10-4
cm/C
= 3x10-³ cm/C
Step-by-step explanation:
hope this helps you dear
god bless you
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