1. | \(-\frac{\pi^2}{16} \mathrm{~ms}^{-2}\) | 2. | \(\frac{\pi^2}{8} \mathrm{~ms}^{-2}\) |
3. | \(-\frac{\pi^2}{8} \mathrm{~ms}^{-2}\) | 4. | \(\frac{\pi^2}{16} \mathrm{~ms}^{-2}\) |
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. | \(sin\omega t\) |
3. | \(sin\omega t+cos\omega t\) | 4. | \(sin(\omega t+\pi/4)\) |
1. | 2. | ||
3. | 4. |
List-I (x-y graphs) |
List-II (Situations) |
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(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) |
If a body is executing simple harmonic motion with frequency 'n', then the frequency of its potential energy is:
1. | 3n | 2. | 4n |
3. | n | 4. | 2n |
A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations when a mass of 2 kg is suspended by it is:
1. 3.14 s
2. 0.628 s
3. 0.0628 s
4. 6.28 s
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:
1.
2.
3. Zero
4.