Two rods whose length difference stays constant or which expand equally (L1 alpha1 = L2 alpha2)
This type of question, asked 7 times: 3 May 2023 S1, 3 May 2023 S2, 9 May 2023 S1, 16 May 2023 S2, 11 May 2024 S2, 19 Apr 2025 S1, 26 Apr 2025 S1. All 7 questions below, oldest first.
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Question 1
3 May 2023 S1
22
Two rods, one of aluminium and the other of steel, having initial lengths 'L1' and 'L2' are connected together. The coefficients of linear expansion of aluminium and steel are 'α1' and 'α2' respectively. If the length of each rod increases by the same amount when their temperatures are raised by t∘C, then the ratio L1+L2L1 will be
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Question 2
3 May 2023 S2
30
Two rods, one of copper (Cu) and the other of iron (Fe) having initial lengths L1 and L2 respectively are connected together to form a single rod of length L1+L2. The coefficient of linear expansion of Cu and Fe are αc and αi respectively. If the length of each rod increases by the same amount when their temperatures are raised by t∘C, then ratio of L1+L2L1−L2 will be
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Question 3
9 May 2023 S1
27
At a certain temperature, rod A and rod B of different materials have lengths LA and LB respectively. Their coefficients of linear expansion are αA and αB respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio LA:LB is given by
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Question 4
16 May 2023 S2
35
At certain temperature, rod A and rod B of different materials have lengths LA and LB respectively. Their coefficients of linear expansion are αA and αB respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio LA/LB is given by
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Question 5
11 May 2024 S2
39
The difference in length between two rods A and B is 60 cm at all temperatures. If αA=18×10−6/∘C and αB=27×10−6/∘C, the lengths of the two rods are
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Question 6
19 Apr 2025 S1
22
Two rods of different materials have lengths ' l1 ' and ' l2 ' whose coefficient of linear expansions are ' α1 ' and ' α2 ' respectively. If the difference between the two lengths is independent of temperature then
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Question 7
26 Apr 2025 S1
28
The difference in length between two rods A and B is 60 cm at all temperatures. If αA=18×10−6/∘C and αB=27×10−6/∘C, then the length of rodA and rodB at 0∘C is respectively