NCERT · Class 11 · Physics · WavesThe velocity of a transverse wave in a stretched string depends on tension $T$ and linear mass density $\mu$ as:
Step-by-Step Solution
Correct Option: $v = \sqrt{\frac{T}{\mu}}$ \nThe speed of transverse waves on a stretched string is directly proportional to the square root of tension $T$ and inversely proportional to the square root of mass per unit length $\mu$. Thus, $v = \sqrt{\frac{T}{\mu}}$.
Detailed Options Breakdown
Option : $v = \sqrt{\frac{\mu}{T}}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
Option 1: $v = \sqrt{\frac{T}{\mu}}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $v = \frac{T}{\mu}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
Option 3: $v = T \cdot \mu$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
💡 Study Guide: This question tests core syllabus concepts from Waves. For formulas, key summaries, and mock exam reference guides, read the full Waves Revision Notes.