OnlineCBT
Physics · MOTION IN A PLANE
हिन्दीMatch List-I with List-II: List-I List-II A Centripetal acceleration (\( a_c \)) I \( \frac{d^2 x}{dt^2}\hat{i} + \frac{d^2 y}{dt^2}\hat{j} \) B Angular speed (\( \omega \)) II \( \omega R \) C Tangential speed (\( v \)) III \( \frac{2\pi}{T} \) D Instantaneous acceleration (\( \mathbf{a} \)) IV \( \frac{v^2}{R} \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | Centripetal acceleration (\( a_c \)) | I | \( \frac{d^2 x}{dt^2}\hat{i} + \frac{d^2 y}{dt^2}\hat{j} \) |
| B | Angular speed (\( \omega \)) | II | \( \omega R \) |
| C | Tangential speed (\( v \)) | III | \( \frac{2\pi}{T} \) |
| D | Instantaneous acceleration (\( \mathbf{a} \)) | IV | \( \frac{v^2}{R} \) |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option A
A-IV, B-III, C-II, D-I
Explanation
Centripetal acceleration is \( a_c = v^2/R \), angular speed is \( \omega = 2\pi/T \), linear tangential speed is \( v = \omega R \), and instantaneous 2D acceleration vector is \( \mathbf{a} = \frac{d^2 x}{dt^2}\hat{i} + \frac{d^2 y}{dt^2}\hat{j} \).
