1. | (A), (B) and (C) only |
2. | (B), (C) and (D) only |
3. | (A), (B) and (E) only |
4. | (C), (D) and (E) only |
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 |
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 |
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) |