JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · Laws of Motion

A small block of mass of 0.1 kg lies on a fixed inclined plane $PQ$ which makes an angle $\theta$ with the horizontal. A horizontal force of 1 N acts on the block through its center of mass as shown in the figure. The block remains stationary if ( take $\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2$ )

1. (A)$\theta =45^{\circ }$✓ Correct
2. (B)$\theta >45^{\circ }$ and a frictional force acts on the block towards $P$.
3. (C)$\theta >45^{\circ }$ and a frictional force acts on the block towards $Q$.✓ Correct
4. (D)$\theta <45^{\circ }$ and a frictional force acts on the block towards $Q$.

Answer: (A), (C)

JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · One or more correct options