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 \[0{}^\circ C=13.6/c{{m}^{3}}\] density of iron at\[0{}^\circ C=7.6/c{{m}^{3}}\], 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