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9th Class Science Gravitation and Floatation Question Bank Gravitation HOTS Objective Problems

  • question_answer
    Acceleration due to gravity on the surface of a planet is g/5 where g is the value on the earth. When a body is vertically thrown up on the earth, it reaches a maximum height h. If the same body is projected with the same velocity from the surface of planet, maximum height reached by it would be

    A)  \[h/5\]                                

    B)  \[\text{h}/\text{25}\]      

    C)  \[5h\]                                  

    D)  \[25h\]

    Correct Answer: C

    Solution :

       \[{{g}_{p}}=\frac{g}{5},\,\,u\sin g\,\,h=\frac{{{u}^{2}}}{2g},\] \[\frac{{{h}_{p}}}{{{h}_{e}}}=\frac{{{g}_{e}}}{{{g}_{p}}}\Rightarrow {{h}_{p}}=\frac{{{g}_{e}}}{{{g}_{p}}}=\frac{g}{\frac{g}{5}}.\,\,h=5h\]


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