Kinematics · JEE Main previous year questions

2004 3 questions

1. Q722004 · 24 Apr 2004 · Shift 1

   A projectile can have the same range 'R' for two angles of projection. If $T_1$ and $T_2$ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

   1. A.R
   2. B.$\frac{1}{R}$
   3. C.$\frac{1}{R^2}$
   4. D.$R^2$
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   Answer: A

2. Q782004 · 24 Apr 2004 · Shift 1

   A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$ is proportional to

   1. A.$x$
   2. B.$e^x$
   3. C.$x^2$
   4. D.${\log }_{e}x$
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   Answer: C

3. Q1022004 · 24 Apr 2004 · Shift 1

   The displacement $y$ of a particle in a medium can be expressed as, $y=10^{-6}\sin \left(100t+20x+\frac{\pi }{4}\right)\mathrm{m}$ where $t$ is in second and $x$ in meter. The speed of the wave is

   1. A.$20m/s$
   2. B.$5m/s$
   3. C.$2000m/s$
   4. D.$5\pi m/s$
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   Answer: B