MP Board · Class 11 · Physics · Laws of MotionThe maximum speed of a vehicle on a banked road of radius $r$ and banking angle $\theta$ with coefficient of friction $\mu$ is given by:
Step-by-Step Solution
The maximum safe speed on a curved banked road considering friction is given by $v_{\text{max}} = \sqrt{rg \frac{\mu + \tan\theta}{1 - \mu\tan\theta}}.$
Detailed Options Breakdown
Option : $\sqrt{rg \frac{\mu + \tan\theta}{1 - \mu\tan\theta}}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $\sqrt{rg \tan\theta}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Laws of Motion.
Option 2: $\sqrt{\mu rg}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Laws of Motion.
Option 3: $\sqrt{\frac{rg}{\mu}}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Laws of Motion.
💡 Study Guide: This question tests core syllabus concepts from Laws of Motion. For formulas, key summaries, and mock exam reference guides, read the full Laws of Motion Revision Notes.