Four small lead balls of volumes 1cm³.2cm³, 3cm³ and 4cm³ are descending down through the same liquid

a) viscous force is more on 4(cm)³ ball

b) terminal velocity is more for 4(cm)³ ball

c) viscous force is more in 1 (cm)³ ball

d) terminal velocity is more in 1 (cm)³ ball

Explanation

• The smaller spheres (volumes 1 cm³ and 2 cm³) may reach terminal velocity quicker due to less resistance and quicker stabilization within the liquid.
• While terminal velocity depends on radius (or volume), the relationship also varies with the fluid's viscosity and the density differences between the fluid and the spheres.
• This could lead to smaller lead balls (a and b) stabilizing earlier in certain scenarios, making a, b the correct choices.

Correct Answer

a, b are correct – indicating that the balls with volumes 1 cm³ and 2 cm³ demonstrate behavior satisfying the question's conditions.