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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Laws of Motion

JEE Main 2005 · Physics · Laws of Motion

The upper half of an inclined plane with inclination φ is perfectly...

The upper half of an inclined plane with inclination ϕ\phi is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given byThe upper half of an inclined plane with inclination φ is perfectly smooth while the lower half is rough. A body

Options

  1. A2sin⁡ϕ2 \sin \phi
  2. B2cos⁡ϕ2 \cos \phi
  3. C2tan⁡ϕ2 \tan \phi
  4. Dtan⁡ϕ\tan \phi

Correct answer

C. 2tan⁡ϕ2 \tan \phi

Step-by-step solution

The upper half of an inclined plane with inclination φ is perfectly smooth while the lower half is rough. A body
mgssin⁡ϕ=μmgcos⁡ϕ⋅s2m g s \sin \phi=\mu m g \cos \phi \cdot \frac{s}{2}
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