Physics-
General
Easy

Question

Statement 1: As the frictional force increases, the safe velocity limit for taking a turn on an unbanked road also increases
Statement 2: Banking of roads will increases the value of limiting velocity

  1. Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1  
  2. Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1  
  3. Statement 1 is True, Statement 2 is False  
  4. Statement 1 is False, Statement 2 is True  

The correct answer is: Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1


    On an unbanked road, friction provides the necessary centripetal force fraction numerator m v to the power of 2 end exponent over denominator r end fraction equals mu m g blank therefore v equals square root of mu r g end root
    Thus with increase in friction, safe velocity limit also increases
    When the road is banked with angle of theta than its limiting velocity is given by
    v equals square root of fraction numerator r g left parenthesis tan invisible function application theta plus mu right parenthesis over denominator 1 minus mu tan invisible function application theta end fraction end root
    Thus limiting velocity increase with banking of road

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