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A particle undergoes SHM with an amplitude of \(10\) cm and a time period of \(4\) s. The average velocity of the particle during the course of its motion from its mean position to its extreme position is:
1. \(5\) cm/s
2. \(10\) cm/s
3. at least \(10\) cm/s
4. at most \(10\) cm/s
Subtopic:  Simple Harmonic Motion |
Level 3: 35%-60%
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The graph represents the variation of the position of a particle \((x)\) as a function of time \((t);\) the variation being sinusoidal.
                     
The amplitude of the motion of the particle is:
1. \(6~\text{cm}\)
2. \(3~\text{cm}\)
3. \(1.5~\text{cm}\)
4. \(12~\text{cm}\)
Subtopic:  Simple Harmonic Motion |
 50%
Level 3: 35%-60%
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A particle is subjected to two SHMs, one along the \(x\text-\)axis and the other along the \(y\text-\)axis:   
\(x=A\sin\omega t\\ y=A\sin(\omega t+\pi)\)
The resulting motion is:
1. Uniform circular motion.
2. Elliptic motion.
3. SHM along a straight line.
4. SHM along a circle.
Subtopic:  Simple Harmonic Motion |
Level 3: 35%-60%
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A particle moves in a plane such that its displacements are the sum of two displacements \(\vec{ r}_1\), and \(\vec{r}_2;\) each of which undergo SHM in opposite phase with respect to the other, but of unequal amplitude. The resultant motion of the particle is:
1. uniform circular motion 
2. elliptical motion
3. linear SHM
4. angular SHM along a circle
Subtopic:  Simple Harmonic Motion |
Level 3: 35%-60%
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