MCQ
Consider two SHMs along the same straight line $x_1=A_1 \sin \left(\omega t+\phi_1\right), x_2=A_2 \sin \left(\omega t+\phi_2\right)$, where $A_1$ and $A_2$ are their amplitudes and $\phi_1$ and $\phi_2$ are their initial phase angle. If the two SHMs meet simultaneously and ' $R$ ' is the resultant amplitude, match column I with column II.
| Column-I | Column-II | ||
| A. | The two SHMs are in phase, $A_1=A_2=A$ | I. | $R=A_1+A_2$ |
| B. | The two SHMs are in phase, $A_1 \neq A_2$ | II. | $R=0$ |
| C. | The two SHMs are $90^{\circ}$ out of phase, $A_1=A_2=A$ | III. | $R=2 A$ |
| D. | The two SHMs are $180^{\circ}$out of phase, $A_1=A_2$ | IV. | $R=\sqrt{2} A$ |
- ✓A-III, B-I, C-IV, D-II
- BA-IV, B-III, C-II, D-I
- CA-I, B-III, C-II, D-IV
- DA-III, B-IV, C-I, D-II