7.Gravitation
medium

પૃથ્વીના કેન્દ્રથી અંતર $d$ સાથે ગુરુત્વપ્રવેગ $g$ માં થતા બદલાવને શ્રેષ્ઠ રીતે રજુ કરે છે. ($ R=$ પૃથ્વીની ત્રિજયા)

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(JEE MAIN-2017) (AIPMT-2010) (NEET-2016) (JEE MAIN-2022)

Solution

    Variation of acceleration due to garvity, g with distance $'d'$ from center of the earth

$If\,\,\,\,\,d < R,g = \frac{{Gm}}{{{R^2}}}.d\,\,\,\,i.e.,g \propto d\left( {straight\,line} \right)$

$If\,\,\,\,\,d = R,{g_s} = \frac{{Gm}}{{{R^2}}}$

$If\,\,\,\,d > R,g = \frac{{Gm}}{{{d^2}}}\,\,\,\,\,\,i.e.,g \propto \frac{1}{{{d^2}}}$

Standard 11
Physics

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