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NEET Sample Paper NEET Sample Test Paper-41

  • question_answer
    Imagine a new planet having the same density as that of earth but it is 3times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of new plant is g1 then:

    A) g1 = 3g                        

    B) g1=9g

    C) \[\operatorname{g}1\frac{g}{9}\]                        

    D) g1=27g

    Correct Answer: A

    Solution :

    \[\operatorname{g}=\frac{GM}{{{R}^{2}}}\] \[\operatorname{g}=\frac{G\ell V}{{{R}^{2}}}\] \[{{\ell }_{\operatorname{e}}}={{\ell }_{\operatorname{p}}}\,\,\,\operatorname{Rp}=3\operatorname{Re}\] Volume\[=\frac{4}{3}\operatorname{G}\ell \pi \times R\]Use this in equation (1) we get \[\operatorname{g}'=\frac{4}{3}G\ell \pi R\]                                 ?.(2) For planet \[\operatorname{g}'=\frac{4}{3}G\ell \pi \left( 3R \right)\]                           ?.(3) by (2) & (3) g? = 3g


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