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Physics · LAWS OF MOTION
हिन्दीMatch List-I with List-II: List-I List-II A Angle of repose \( \theta \) I \( g(\sin\theta - \mu_k \cos\theta) \) B Acceleration down a smooth inclined plane II \( \mu_s g \) C Acceleration down a rough inclined plane (\( \tan\theta > \mu_k \)) III \( \tan^{-1}(\mu_s) \) D Maximum acceleration of a train without block slipping on floor IV \( g \sin\theta \) Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | Angle of repose \( \theta \) | I | \( g(\sin\theta - \mu_k \cos\theta) \) |
| B | Acceleration down a smooth inclined plane | II | \( \mu_s g \) |
| C | Acceleration down a rough inclined plane (\( \tan\theta > \mu_k \)) | III | \( \tan^{-1}(\mu_s) \) |
| D | Maximum acceleration of a train without block slipping on floor | IV | \( g \sin\theta \) |
Choose the correct answer from the options given below:
Correct answer · Option 1
A-(III), B-(IV), C-(I), D-(II)
Explanation
Angle of repose \( \theta = \tan^{-1}(\mu_s) \) (A-III). Smooth incline acceleration is \( g \sin\theta \) (B-IV). Rough incline acceleration is \( g(\sin\theta - \mu_k \cos\theta) \) (C-I). Maximum acceleration without slipping is \( \mu_s g \) (D-II).
