Question map
Consider the following statements : I. If temperature rises, the coefficient of viscosity of a liquid decreases. II. The velocity of a falling raindrop attains a constant value because of viscous force exerted by air. Which of these is/are correct?
Explanation
Statement I is correct as the coefficient of viscosity of a liquid decreases with an increase in temperature. This occurs because rising temperatures provide thermal energy that overcomes the cohesive forces between liquid molecules, often described by the Arrhenius equation [t1][t4]. In contrast, the viscosity of gases increases with temperature [t2]. Statement II is also correct; a falling raindrop accelerates under gravity until the upward viscous drag force (described by Stokes' Law) and buoyancy balance the downward weight [t6][t9]. At this equilibrium, the net force becomes zero, and the raindrop attains a constant 'terminal velocity' [t5][t10]. This phenomenon is a direct result of the viscous resistance exerted by the air medium through which the drop falls [t9]. Therefore, both statements are scientifically accurate representations of fluid dynamics and thermal physics.