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An iron rod of length 50 cm is joined at an end to an aluminium rod of length 100 cm. All measurement refer to 20°C. The co-efficient of linear expansion of iron and aluminium are 12 × 10 −6 °C −1 and 24 × 10 −6 respectively. The average co-efficient of linear expansion of composite system is P × 10 −6 °C −1 . then value of p is

An iron rod of length 50 cm is joined at an end to an aluminium rod of length 100 cm. All measurement refer to 20°C. The co-efficient of linear expansion of iron and aluminium are 12 × 10 −6 °C −1 and 24 × 10 −6 respectively. The average co-efficient of linear expansion of composite system is P × 10 −6 °C −1. then value of p is 

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1 Answers

Ujjwal
15 Points
2 years ago
For finding average coefficient of composite system ,we sum up individual change in length
∆l=∆l1 + ∆l2
150 ×P×10^-6=(100×24×10^-6) + (50×12×10^-6)
P=20

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