Physics-
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Easy

Question

A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of blank 0.5 blank m divided by s. What is the height of the plane of circle from vertex of the funnel

  1. 0.25 blank c m  
  2. 2 blank c m  
  3. 4 blank c m  
  4. 2.5 blank c m  

The correct answer is: 2.5 blank c m



    The particle is moving in circular path
    From the figure, m g equals R sin invisible function application theta blank left parenthesis i right parenthesis
    fraction numerator m v to the power of 2 end exponent over denominator r end fraction equals blank R cos invisible function application theta blank left parenthesis i i right parenthesis
    From equation (i) and (ii) we get
    tan invisible function application theta equals fraction numerator r g over denominator v to the power of 2 end exponent end fraction but tan invisible function application theta equals fraction numerator r over denominator h end fraction
    therefore h equals fraction numerator v to the power of 2 end exponent over denominator g end fraction equals fraction numerator open parentheses 0.5 close parentheses to the power of 2 end exponent over denominator 10 end fraction equals 0.025 m equals 2.5 blank c m

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