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Physics · LAWS OF MOTION

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Match List-I with List-II: \n List-I List-II A Maximum speed on level unbanked road I \( \sqrt{R g \tan\theta} \) B Optimum speed on banked road without friction II \( \sqrt{\mu_s R g} \) C Maximum speed on banked road with friction III \( \frac{\mu_s m g}{\sqrt{1 + \mu_s^2}} \) D Minimum force to pull block on horizontal floor IV \( \sqrt{R g \frac{\mu_s + \tan\theta}{1 - \mu_s \tan\theta}} \) \n Choose the correct answer from the options given below:

Match List-I with List-II:

\n
List-I List-II
A Maximum speed on level unbanked road I \( \sqrt{R g \tan\theta} \)
B Optimum speed on banked road without friction II \( \sqrt{\mu_s R g} \)
C Maximum speed on banked road with friction III \( \frac{\mu_s m g}{\sqrt{1 + \mu_s^2}} \)
D Minimum force to pull block on horizontal floor IV \( \sqrt{R g \frac{\mu_s + \tan\theta}{1 - \mu_s \tan\theta}} \)
\n

Choose the correct answer from the options given below:

  1. A-I, B-II, C-III, D-IV
  2. A-II, B-I, C-IV, D-III
  3. A-II, B-IV, C-I, D-III
  4. A-IV, B-I, C-II, D-III

Correct answer · Option 2

A-II, B-I, C-IV, D-III

Explanation

A -> II (\( v_{\max} = \sqrt{\mu_s R g} \)), B -> I (\( v_0 = \sqrt{R g \tan\theta} \)), C -> IV (\( v_{\max} = \sqrt{R g \frac{\mu_s + \tan\theta}{1 - \mu_s \tan\theta}} \)), D -> III (\( F_{\min} = \frac{\mu_s m g}{\sqrt{1 + \mu_s^2}} \)). Correct match is A-II, B-I, C-IV, D-III.
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