When the body moves downwards, upwards and remains at the same position when we increase temperature.
Let f= fraction of volume of the body submerged in liquid.
\(f = \frac{\text{Volume of body submerged in liquid}}{\text{Total volume of body}}\)
\(f_1 = \frac{v_1}{v_0}\) at θ1oC
Case I: Body moves downward if f2 > f1 means γL>3αS
Case II: Body moves upward if f2 < f1 means γL < 3αS
Case III: Body remains at same position if f2 = f1 means γL= 3αS