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← JEE Main 2022 · 25 Jul · Shift 1
PhysicsInteger+4 / -1Question 54 of 90

JEE Main 2022 · 25 Jul · Shift 1, Physics question 54

A unit scale is to be prepared whose length does not change with temperature and remains 20 cm, using a bimetallic strip made of brass and iron each of different length. The length of both components would change in such a way that difference between their lengths remains constant. If length of brass is 40 cm and length of iron will be ______ cm.

(αiron=1.2×10−5\alpha_{\text{iron}}=1.2\times10^{-5} K−1^{-1} and αbrass=1.8×10−5\alpha_{\text{brass}}=1.8\times10^{-5} K−1^{-1}).

Answer and worked solution

Official answer: 60

Equal expansions. 40×1.8=l×1.240\times1.8=l\times1.2, so l=60l=60 cm.

Answer: 60