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JIPMER 2019
Exam
JIPMER
Year
2019
Subject
Physics
Chapter
Magnetic Effects of Current

JIPMER 2019 · Physics · Magnetic Effects of Current

Find the maximum radius of circle so that the block can complete...

Find the maximum radius of circle so that the block can complete the circular motion. Find the maximum radius of circle so that the block can complete the circular motion.

Options

  1. A5 cm
  2. B3 cm
  3. C2 cm
  4. D4 cm

Correct answer

C. 2 cm

Step-by-step solution

From energy conservation, mgH=12mv2⇒v2=2gH or v=2gH\mathrm{mgH}=\frac{1}{2} \mathrm{mv}^2 \Rightarrow \quad \mathrm{v}^2=2 \mathrm{gH} \text{ or } \mathrm{v}=\sqrt{2 \mathrm{gH}} To complete circular loop, minimum speed at bottom point should be vmin =5gR\mathrm{v}_{\text{min }}=\sqrt{5 \mathrm{gR}} From Eqs. (i) and (ii) 2gH≥5gR⇒R≤2HR⇒Rmax⁡=2HR=2(5)5=2 cm\sqrt{2 \mathrm{gH}} \geq \sqrt{5 \mathrm{gR}} \Rightarrow \mathrm{R} \leq \frac{2 \mathrm{H}}{\mathrm{R}} \Rightarrow \mathrm{R}_{\max }=\frac{2 \mathrm{H}}{\mathrm{R}}=\frac{2(5)}{5}=2 \mathrm{~cm}
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