A brass rod and an aluminium rod each of length 1 m and same cross...

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Physics

A brass rod and an aluminium rod each of length 1 m and same cross section area 1 cm are placed in contact with each other as shown Temperature of both the rods is raised by 100 K The coeffcients of linear expansion of brass and aluminium are 2 0 x 10 5 K 1 and 2 4 x 10 5 K 1 respectively If the Young s moduli of brass and aluminium are 1011 N m and 7 x 1010 N m respectively then stress in the rods is Brass 1 1 1 x 106 N m 3 1 8 x 108 N m Aluminium 2 1 5 106 N m 4 2 0 x 108 N m

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To solve this problem we need to determine the stress in both the brass and aluminum rods when they are heated Heres a stepbystep breakdown Given Data Length of each rod L 1 m Change in temperature T 100 K Coefficient of linear expansion Brass alphab 20 times 105 textK1 Aluminum alphaa 24 times 105 textK1 Youngs modulus Brass Eb 1011 textNm2 Aluminum Ea 7 times 1010 textNm2 Step 1 Calculate the Change in Length The change in length Delta L due to thermal See Answer

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