NCERT · Class 11 · Physics · Units and MeasurementsThe error in measurement of radius of a sphere is 1%. The error in the calculated volume of the sphere is:
Step-by-Step Solution
Volume V = (4/3)pir^3. Taking logarithms and differentiating, dV/V = 3(dr/r). Thus, 3 * 1% = 3%.
Detailed Options Breakdown
Option : 1%
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Units and Measurements.
Option 1: 2%
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Units and Measurements.
Option 2: 3% (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 4%
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Units and Measurements.
💡 Study Guide: This question tests core syllabus concepts from Units and Measurements. For formulas, key summaries, and mock exam reference guides, read the full Units and Measurements Revision Notes.