A particle is executing a simple harmonic motion. Its maximum acceleration is and maximum velocity is . Then its time period of vibration will be:
1. | \(\frac {\beta^2}{\alpha^2}\) | 2. | \(\frac {\beta}{\alpha}\) |
3. | \(\frac {\beta^2}{\alpha}\) | 4. | \(\frac {2\pi \beta}{\alpha}\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyWhen two displacements are represented by \(y_1 = a \text{sin}(\omega t)\) and \(y_2 = b\text{cos}(\omega t)\) are superimposed, then the motion is:
1. | not simple harmonic. |
2. | \(\frac{a}{b}\). | simple harmonic with amplitude
3. | \(\sqrt{a^2+b^{2}}.\) | simple harmonic with amplitude
4. | \(\frac{a+b}{2}\). | simple harmonic with amplitude
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA particle is executing SHM along a straight line. Its velocities at distances \(x_1\) and \(x_2\) from the mean position are \(v_1\) and \(v_2\), respectively. Its time period is:
1. | \(2 \pi \sqrt{\dfrac{x_{1}^{2}+x_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}}~\) | 2. | \(2 \pi \sqrt{\dfrac{{x}_{2}^{2}-{x}_{1}^{2}}{{v}_{1}^{2}-{v}_{2}^{2}}}\) |
3. | \(2 \pi \sqrt{\dfrac{v_{1}^{2}+v_{2}^{2}}{x_{1}^{2}+x_{2}^{2}}}\) | 4. | \(2 \pi \sqrt{\dfrac{v_{1}^{2}-v_{2}^{2}}{x_{1}^{2}-x_{2}^{2}}}\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe oscillation of a body on a smooth horizontal surface is represented by the equation, \(X=A \text{cos}(\omega t)\),
where \(X=\) displacement at time \(t,\) \(\omega=\) frequency of oscillation.
Which one of the following graphs correctly shows the variation of acceleration, \(a\) with time, \(t?\)
(\(T=\) time period) \(a~~O~~T~~t~~\)
1. | 2. | ||
3. | 4. |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. | circle |
2. | hyperbola |
3. | ellipse |
4. | straight line passing through the origin |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. Only (IV) does not represent SHM
2. (I) and (III)
3. (I) and (II)
4. Only (I)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA particle of mass \(m\) is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?
1. | 2. | ||
3. | 4. |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie in a straight line perpendicular to the paths of the two particles. The phase difference is:
1. | π / 6 | 2. | 0 |
3. | 2 π / 3 | 4. | π |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe displacement of a particle along the x-axis is given by, x = asin2t. The motion of the particle corresponds to:
1. | simple harmonic motion of frequency |
2. | simple harmonic motion of frequency |
3. | non-simple harmonic motion |
4. | simple harmonic motion of frequency |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it, another mass M is also suspended, the period of oscillation will now be:
1. T
2. T/
3. 2T
4. T
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology