Physics-
General
Easy

Question

The system of the wedge and the block connected by a massless spring as shown in the figure is released with the spring in its natural length. Friction is absent. maximum elongation in the spring will be

  1. fraction numerator 3 M g over denominator 5 k end fraction    
  2. fraction numerator 6 M g over denominator 5 k end fraction    
  3. fraction numerator 4 M g over denominator 5 k end fraction    
  4. fraction numerator 8 M g over denominator 5 k end fraction    

The correct answer is: fraction numerator 6 M g over denominator 5 k end fraction

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Statement - I : ϕ left parenthesis x right parenthesis equals stretchy integral subscript 0 end subscript superscript x end superscript   left parenthesis 3 s i n invisible function application t plus 4 c o s invisible function application t right parenthesis d t comma open square brackets fraction numerator pi over denominator 6 end fraction comma fraction numerator pi over denominator 3 end fraction close square brackets ϕ left parenthesis x right parenthesis text end textattain its maximum value text  at  end text x equals fraction numerator pi over denominator 3 end fraction
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Statement - I : ϕ left parenthesis x right parenthesis equals stretchy integral subscript 0 end subscript superscript x end superscript   left parenthesis 3 s i n invisible function application t plus 4 c o s invisible function application t right parenthesis d t comma open square brackets fraction numerator pi over denominator 6 end fraction comma fraction numerator pi over denominator 3 end fraction close square brackets ϕ left parenthesis x right parenthesis text end textattain its maximum value text  at  end text x equals fraction numerator pi over denominator 3 end fraction
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