Oscillations (SHM) · JEE Main previous year questions

2017 4 questions

1. Q462017 · 9 Apr 2017 · Shift 1

   In an experiment to determine the period of a simple pendulum of length 1 m, it is attached to different spherical bobs of radii $r_1$ and $r_2$ . The two spherical bobs have uniform mass distribution. If the relative difference in the periods, is found to be $5\times 10^{-4}\mathrm{s}$, the difference in radii, $|r_1-r_2|$ is best given by :

   1. A.$1\mathrm{cm}$
   2. B.$0.1\mathrm{cm}$
   3. C.$0.5\mathrm{cm}$
   4. D.$0.01\mathrm{cm}$
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   Answer: B

2. Q492017 · 9 Apr 2017 · Shift 1
   
   1. A.$0.4m/s$
   2. B.$4m/s$
   3. C.$0.2m/s$
   4. D.$2m/s$
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   Answer: D

3. Q582017 · 9 Apr 2017 · Shift 1

   A block of mass 0.1 kg is connected to an elastic spring of spring constant $640\mathrm{N}{\mathrm{m}}^{-1}$ and oscillates in a damping medium of damping constant $10^{-2}\mathrm{kg}{\mathrm{s}}^{-1}$ . The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to :

   1. A.$2\mathrm{s}$
   2. B.$3.5\mathrm{s}$
   3. C.$5\mathrm{s}$
   4. D.$7\mathrm{s}$
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   Answer: D

4. Q392017 · 8 Apr 2017 · Shift 1

   The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is $10{\mathrm{s}}^{-1}$. At, $\mathrm{t}=0$ the displacement is 5 m. What is the maximum acceleration ? The initial phase is $\frac{\pi }{4}$.

   1. A.$500m/{\mathrm{s}}^2$
   2. B.$500\sqrt{2}m/{\mathrm{s}}^2$
   3. C.$750m/{\mathrm{s}}^2$
   4. D.$750\sqrt{2}m/{\mathrm{s}}^2$
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   Answer: B