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If the density of the earth is doubled keeping its radius constant then acceleration due to gravity (presently 9.8m/s²) will be:-(a)2.45 m/s²(b)4.9 m/s²(c)9.8m/s²(d)19.6m/s² |
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Answer» Explanation: option D is CORRECT Acceleration due to gravity G=GM/R² ——-(1) The radius is constant, VOLUME also constant. If volume is constant, density is proportional to mass.(v=m/ρ) The density is doubled, the mass is also doubled. (M’=2M) The new acceleration due to gravity g’=GM’/R’² Put the VALUE M’=2M and R’=R g’=G(2M)/R² g’=2GM/R² ——–(2) SUBSTITUTING equations (1) and (2), we get g’=2g g=9.8 m/s² g’=2×9.8=19.6 m/s² tq❤ |
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