| 1. | \(W_1=W_2=W_3\) | 2. | \(W_1>W_2>W_3\) |
| 3. | \(W_1>W_3>W_2\) | 4. | \(W_1<W_2<W_3\) |
| Assertion (A): | When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded. |
| Reason (R): | The explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| 1. | \(h\nu_0\) | 2. | \(2h\nu_0\) |
| 3. | \(3h\nu_0\) | 4. | \(4h\nu_0\) |
| 1. | \(c\) | 2. | \(\dfrac1c\) |
| 3. | \(\dfrac{c}{\sqrt{\mu_0\varepsilon_0}}\) | 4. | \(\dfrac{\sqrt{\mu_0\varepsilon_0}}{c}\) |
| 1. | a straight line | 2. | circular |
| 3. | elliptical | 4. | a plane |
| 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) |
| Statement-I: | The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample. |
| Statement-II: | The half life of a radionuclide is the sum of the left time of all nuclei, divided by the initial concentration of the nuclei at time \(t=0.\) |
| 1. | Both Statement-I and Statement-II are correct. |
| 2. | Both Statement-I and Statement-II are incorrect. |
| 3. | Statement-I is correct but Statement-II is incorrect. |
| 4. | Statement-I is incorrect but Statement-II is correct. |
An ideal gas undergoes a thermodynamic process described by the equation:
\(PV^2=C,\)
where \(C\) is a constant. The gas transitions from an initial state \((P_1, V_1, T_1)\) to a final state \((P_2, V_2, T_2).\) Which of the following statements is correct?
| 1. | \(\text{If}~P_1>P_2,~\text{then}~T_1<T_2 \) |
| 2. | \(\text{If}~V_2>V_1,~\text{then}~T_2>T_1\) |
| 3. | \(\text{If}~V_2>V_1,~\text{then}~T_2<T_1\) |
| 4. | \(\text{If}~P_1>P_2,~\text{then}~V_1>V_2\) |