Oscillations (SHM) · JEE Main previous year questions

2016 3 questions

1. Q312016 · 3 Apr 2016 · Shift 1

   A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be :

   1. A.$92\pm 1.8\mathrm{s}$
   2. B.$92\pm 3\mathrm{s}$
   3. C.$92\pm 2\mathrm{s}$
   4. D.$92\pm 5.0\mathrm{s}$
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   Answer: C

2. Q362016 · 3 Apr 2016 · Shift 1

   A pendulum clock loses $12\mathrm{s}$ a day if the temperature is $40^{\circ }\mathrm{C}$ and gains $4\mathrm{s}$ a day if the temperature is $20^{\circ }\mathrm{C}$. The temperature at which the clock will show correct time, and the co-efficient of linear expansion ($\alpha$) of the metal of the pendulum shaft are respectively :

   1. A.$30^{\circ }\mathrm{C}$; $\alpha =1.85\times 10^{-3}{/}^{\circ }\mathrm{C}$
   2. B.$55^{\circ }\mathrm{C}$; $\alpha =1.85\times 10^{-2}{/}^{\circ }\mathrm{C}$
   3. C.$25^{\circ }\mathrm{C}$; $\alpha =1.85\times 10^{-5}{/}^{\circ }\mathrm{C}$
   4. D.$60^{\circ }\mathrm{C}$; $\alpha =1.85\times 10^{-4}{/}^{\circ }\mathrm{C}$
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   Answer: C

3. Q402016 · 3 Apr 2016 · Shift 1

   A particle performs simple harmonic motion with amplitude $A$. Its speed is trebled at the instant that it is at a distance $\frac{2A}{3}$ from equilibrium position. The new amplitude of the motion is:

   1. A.$A\sqrt{3}$
   2. B.$\frac{7A}{3}$
   3. C.$\frac{A}{3}\sqrt{41}$
   4. D.$3A$
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   Answer: B