1. | \(A + B\) | 2. | \(A_{0}\) \(+\) \(\sqrt{A^{2} + B^{2}}\) |
3. | \(\sqrt{A^{2} + B^{2}}\) | 4. | \(\sqrt{A_{0}^{2}+\left( A + B \right)^{2}}\) |
The average velocity of a particle executing SHM in one complete vibration is:
1. zero
2. \(\dfrac{A \omega}{2}\)
3. \(A \omega\)
4. \(\dfrac{A \left(\omega\right)^{2}}{2}\)
The radius of the circle, the period of revolution, initial position and direction of revolution are indicated in the figure.
The \(y\)-projection of the radius vector of rotating particle \(P\) will be:
1. \(y(t)=3 \cos \left(\dfrac{\pi \mathrm{t}}{2}\right)\), where \(y\) in m
2. \(y(t)=-3 \cos 2 \pi t\) , where \(y\) in m
3. \(y(t)=4 \sin \left(\dfrac{\pi t}{2}\right)\), where \(y\) in m
4. \(y(t)=3 \cos \left(\dfrac{3 \pi \mathrm{t}}{2}\right) \), where \(y\) in m
The distance covered by a particle undergoing SHM in one time period is: (amplitude = A)
1. zero
2. A
3. 2 A
4. 4 A
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:
1. | \(\dfrac{3\pi}{2}\text{rad}\) | 2. | \(\dfrac{\pi}{2}\text{rad}\) |
3. | zero | 4. | \(\pi ~\text{rad}\) |
1. | \(e^{\omega t}\) | 2. | \(\text{log}_e(\omega t)\) |
3. | \(\text{sin}\omega t+ \text{cos}\omega t\) | 4. | \(e^{-\omega t}\) |
1. | \(3n\) | 2. | \(4n\) |
3. | \(n\) | 4. | \(2n\) |
A spring is stretched by \(5~\text{cm}\) by a force \(10~\text{N}\). The time period of the oscillations when a mass of \(2~\text{kg}\) is suspended by it is:
1. \(3.14~\text{s}\)
2. \(0.628~\text{s}\)
3. \(0.0628~\text{s}\)
4. \(6.28~\text{s}\)
1. | \(8\) | 2. | \(11\) |
3. | \(9\) | 4. | \(10\) |
During simple harmonic motion of a body, the energy at the extreme position is:
1. | both kinetic and potential |
2. | is always zero |
3. | purely kinetic |
4. | purely potential |