Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीMatch List-I with List-II: List-I (Physical Quantity / Concept) List-II (Mathematical Expression / SI Unit) A Torque vector I \( \mathbf{r} \times \mathbf{p} \) B Angular momentum vector II \( \frac{d_2}{d_1} \) C Mechanical advantage of lever III \( [M L^2 T^{-2}] \) and unit \( \text{N}\cdot\text{m} \) D Dimensions of torque IV \( \mathbf{r} \times \mathbf{F} \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I (Physical Quantity / Concept) | List-II (Mathematical Expression / SI Unit) | ||
|---|---|---|---|
| A | Torque vector | I | \( \mathbf{r} \times \mathbf{p} \) |
| B | Angular momentum vector | II | \( \frac{d_2}{d_1} \) |
| C | Mechanical advantage of lever | III | \( [M L^2 T^{-2}] \) and unit \( \text{N}\cdot\text{m} \) |
| D | Dimensions of torque | IV | \( \mathbf{r} \times \mathbf{F} \) |
Choose the correct answer from the options given below:
Correct answer · Option 2
A-(IV), B-(I), C-(II), D-(III)
Explanation
Torque is \( \mathbf{r} \times \mathbf{F} \) (A-IV); Angular momentum is \( \mathbf{r} \times \mathbf{p} \) (B-I); Mechanical advantage is \( d_2/d_1 \) (C-II); Dimensions of torque are \( [M L^2 T^{-2}] \) with unit N·m (D-III).