1. | circular motion |
2. | \(x\)-axis | SHM along
3. | \(y\)-axis | SHM along
4. | \(x\) or \(y\)-axis | SHM, but along a direction other than
Statement I: | If the acceleration of a particle is directed towards a fixed point, and proportional to the distance from that point – the motion is SHM. |
Statement II: | During SHM, the kinetic energy of the particle oscillates at twice the frequency of the SHM. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
Statement I: | A graph of its acceleration vs displacement (from mean position) is a straight line. |
Statement II: | A graph of its velocity vs displacement (from mean position) is an ellipse. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
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) |
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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) |
1. | \(T_A\Big(1+\dfrac{1}{1000}\Big)=T_B\) | 2. | \(T_B\Big(1+\dfrac{1}{1000}\Big)=T_A\) |
3. | \(T_A\Big(1+\dfrac{1}{2000}\Big)=T_B\) | 4. | \(T_B\Big(1+\dfrac{1}{2000}\Big)=T_A\) |
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 |