1. | \(e^{-\omega t}\) | 2. | \(\text{sin}\omega t\) |
3. | \(\text{sin}\omega t+\text{cos}\omega t\) | 4. | \(\text{sin}(\omega t+\pi/4)\) |
1. | 2. | ||
3. | 4. |
List-I (\(x \text{-}y\) graphs) |
List-II (Situations) |
||
(a) | (i) | Total mechanical energy is conserved | |
(b) | |
(ii) | Bob of a pendulum is oscillating under negligible air friction |
(c) | |
(iii) | Restoring force of a spring |
(d) | |
(iv) | Bob of a pendulum is oscillating along with air friction |
(a) | (b) | (c) | (d) | |
1. | (iv) | (ii) | (iii) | (i) |
2. | (iv) | (iii) | (ii) | (i) |
3. | (i) | (iv) | (iii) | (ii) |
4. | (iii) | (ii) | (i) | (iv) |
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 |
1. | \(8\) | 2. | \(11\) |
3. | \(9\) | 4. | \(10\) |
1. | \(-\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) | 2. | \(\dfrac{\pi^2}{8}~ \text{ms}^{-2}\) |
3. | \(-\dfrac{\pi^2}{8} ~\text{ms}^{-2}\) | 4. | \(\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) |
1. | \(2\sqrt3\) s | 2. | \(\dfrac{2}{\sqrt3}\) s |
3. | \(2\) s | 4. | \(\dfrac{\sqrt 3}{2}\) s |
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. | \(3n\) | 2. | \(4n\) |
3. | \(n\) | 4. | \(2n\) |