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9th Class Science Work and energy Question Bank Work and Energy

  • question_answer
    A particle of mass \[{{M}_{1}}\] is moving with a velocity \[{{v}_{1}}\], and another particle of mass\[{{M}_{2}}\], is moving with a velocity \[{{v}_{2}}\]. Both of them have the same momentum but their different kinetic energies are \[{{E}_{1}}\] and \[{{E}_{2}}\] respectively. If mass \[{{M}_{1}}\] is greater than mass \[{{M}_{2}}\] then

    A) \[{{E}_{1}}\] is greater than \[{{E}_{2}}\]

    B) \[{{E}_{1}}\] is less than \[{{E}_{2}}\]

    C) \[{{E}_{1}}\] is equal to \[{{E}_{2}}\]

    D) Ratio of \[{{E}_{1}}\] and \[{{E}_{2}}\] is equal to ratio of \[{{M}_{1}}\]and \[{{M}_{2}}\]

    Correct Answer: B

    Solution :

    \[E=\frac{{{p}^{2}}}{2m}\] if p=constant then \[E\propto \frac{1}{M}\] As \[{{M}_{1}}>{{M}_{2}}\therefore {{E}_{1}}<{{E}_{2}}\]


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