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AP EAMCET2010PhysicsThermal Properties of Matter

A bimetallic strip is formed out of two identical strips, one of copper and the other of brass. The coefficients of linear expansion of the two metals are _C and _B . On heating, the temperature of the strip increases by T and the strip bends to form an arc of radius R . Then R is proportional to

Options

  1. AT
  2. B1 T
  3. CT
  4. D1 T

Correct answer

B. 1 T

Step-by-step solution

Let L₀ be the initial length of each strip before heating. Length after heating will be L_B=L₀ (1+ _B T )=(R+d) _C=L₀ (1+ _C T )=R R+d R = 1+ _B T 1+ _C T 1+ d R =1+ ( _B- _C ) TR= d ( _B- _C ) T R 1 T

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