9th Class Science Force and laws of motion Question Bank Force and Laws of Motion

  • question_answer
    In the above question, the time after which the centres of gravity of the two bodies will have a separation h, is

    A)  \[\sqrt{\frac{h}{g}{{\left( \frac{{{m}_{2}}+{{m}_{2}}}{{{m}_{2}}-{{m}_{2}}} \right)}^{2}}}\]

    B)         \[\sqrt{\frac{h}{g}\left( \frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}-{{m}_{2}}} \right)}\]  

    C)  \[\sqrt{\frac{2h}{g}\left( \frac{{{m}_{2}}+{{m}_{2}}}{{{m}_{2}}-{{m}_{2}}} \right)}\]

    D)         \[\sqrt{\frac{h}{2g}\left( \frac{{{m}_{2}}+{{m}_{2}}}{{{m}_{2}}-{{m}_{2}}} \right)}\]

    Correct Answer: B

    Solution :

     Since one particle moves by distance\[\frac{h}{2}\], therefore             \[\frac{h}{2}=\frac{1}{2}a{{t}^{2}}\] \[\Rightarrow \]   \[t=\sqrt{\frac{h}{a}}\] \[\Rightarrow \]   \[t=\sqrt{\frac{h}{g}\left( \frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}-{{m}_{2}}} \right)}\]


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