Statement - 1 : A uniform wooden log floats in water in horizontal position in stable equilibrium but not in vertical position.
Statement - 2 : For a body to remain in equilibrium in water, the buoyant force on it should be equal to its weight.
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Statement-1 is true. A uniform wooden log floats horizontally because its center of gravity is below its center of buoyancy, providing a righting moment for stability. In a vertical position, this stability is lost.
Statement-2 is also true; it is the fundamental condition for flotation: . However, this condition is necessary for equilibrium but not sufficient for stability. Statement-2 does not explain why the horizontal position is stable and the vertical is not; it only explains why the log floats. Therefore, it is NOT the correct explanation for Statement-1.
Final Answer: Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.