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9th Class Science Gravitation and Floatation Question Bank Gravitation IIT JEE Objective Problems

  • question_answer
    A body thrown up with some initial velocity reaches a maximum height of 50m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of

    A)  100 m                  

    B)  200 m

    C)  400 m                  

    D)  50 m

    Correct Answer: B

    Solution :

      \[h=\frac{{{u}^{2}}}{2g}\] \[50=\frac{{{u}^{2}}}{2\times 10}=\frac{{{u}^{2}}}{20}\] \[{{u}^{2}}=1000\] \[u=\sqrt{1000}=10\sqrt{10}\] Double the velocity\[=20\sqrt{10}\] \[h=\frac{400\times 10}{20}=200\,m\]


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