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ICSE Class 10 Answered

Suppose the earth shrinks to one third of its size without loosing any mass.the value of g on the surface would become (1)g/3 (2)g/9 (3)(cuberoot of 9)g (4)g
Asked by Sunita | 31 Mar, 2018, 08:33: AM
answered-by-expert Expert Answer
New Volume V' is given by
 begin mathsize 12px style V apostrophe space equals space 1 third 4 pi R cubed h e n c e space n e w space r a d i u s space R apostrophe space equals space fraction numerator R over denominator cube root of 3 end fraction equals R over 3 to the power of begin display style bevelled 1 third end style end exponent  m o d i f i e d space g space equals space fraction numerator G M over denominator R apostrophe squared end fraction space equals space fraction numerator G M over denominator R squared end fraction cross times open parentheses 3 to the power of bevelled 1 third end exponent close parentheses squared space equals space 9 to the power of bevelled 1 third end exponent fraction numerator G M over denominator R squared end fraction space end style
Answered by Thiyagarajan K | 31 Mar, 2018, 09:36: AM
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