Laws of Motion & Friction · JEE Main previous year questions

2005 4 questions

1. Q812005 · 28 Apr 2005 · Shift 1

   A parachutist after bailing out falls $50m$ without friction. When parachute opens, it decelerates at $2m/s^2$. He reaches the ground with a speed of $3m/s$. At what height, did he bail out?

   1. A.$182m$
   2. B.$91m$
   3. C.$111m$
   4. D.$293m$
   Show answer

   Answer: D

2. Q842005 · 28 Apr 2005 · Shift 1

   The upper half of an inclined plane with inclination $\varphi$ 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 by

   1. A.$2\cos \varphi$
   2. B.$2\sin \varphi$
   3. C.$\tan \varphi$
   4. D.$2\tan \varphi$
   Show answer

   Answer: D

3. Q962005 · 28 Apr 2005 · Shift 1
   
   1. A.$g\mathrm{cosec}\alpha$
   2. B.$g/\tan \alpha$
   3. C.$g\tan \alpha$
   4. D.$g$
   Show answer

   Answer: C

4. Q972005 · 28 Apr 2005 · Shift 1
   
   1. A.$\frac{k{L}^2}{2M}$
   2. B.$\sqrt{Mk}L$
   3. C.$\frac{M{L}^2}{k}$
   4. D.$\mathrm{Zero}$
   Show answer

   Answer: B