Oscillations (SHM) · JEE Main previous year questions

2005 3 questions

1. Q1052005 · 28 Apr 2005 · Shift 1

   Two simple harmonic motions are represented by the equations $y_1=0.1\sin \left(100\pi t+\frac{\pi }{3}\right)$ and $y_2=0.1\cos \pi t$. The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

   1. A.$\frac{\pi }{3}$
   2. B.$\frac{-\pi }{6}$
   3. C.$\frac{\pi }{6}$
   4. D.$\frac{-\pi }{3}$
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   Answer: B

2. Q1072005 · 28 Apr 2005 · Shift 1

   The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

   1. A.first decrease and then increase to the original value
   2. B.first increase and then decrease to the original value
   3. C.increase towards a saturation value
   4. D.remain unchanged
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   Answer: B

3. Q1082005 · 28 Apr 2005 · Shift 1

   If a simple harmonic motion is represented by $\frac{d^{2}x}{d{t}^2}+\alpha x=0$. its time period is

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