NCERT · Class 11 · Physics · Mechanical Properties of FluidsTwo rain drops reach the earth with terminal velocities in the ratio $1 : 4$. What is the ratio of their radii?
Step-by-Step Solution
Terminal velocity $v_t \propto r^2 \implies \frac{v_1}{v_2} = \left(\frac{r_1}{r_2}\right)^2 \implies \frac{r_1}{r_2} = \sqrt{\frac{v_1}{v_2}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$. Thus, the ratio of radii is $1 : 2$.
Detailed Options Breakdown
Option : $1 : 2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $1 : 4$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Mechanical Properties of Fluids.
Option 2: $1 : 8$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Mechanical Properties of Fluids.
Option 3: $1 : 16$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Mechanical Properties of Fluids.
💡 Study Guide: This question tests core syllabus concepts from Mechanical Properties of Fluids. For formulas, key summaries, and mock exam reference guides, read the full Mechanical Properties of Fluids Revision Notes.