question_answer

A 30 cm long cylinder floats vertically in mercury at\[0{}^\circ C\]. If the temperature rises to\[100{}^\circ C\], find the increase in length of the cylinder (in cm) under mercury. The density of mercury at \[0{}^\circ C\]\[=13.6g/c{{m}^{3}}\], density of iron at \[0{}^\circ C=7.6g/c{{m}^{3}}\],coefficient of volume expansion of mercury \[=1.82\times {{10}^{-4}}/{}^\circ C\]and coefficient of cubical expansion of iron \[=3.51\times {{10}^{-5}}/{}^\circ C\]

Answer:

0.27