If the unit of length and mass be doubled then the numerical value w.r.t. present value of the universal gravitation constant G will become
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The unit of gravitational constant G' becomes 8 times of G.
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☆gravity 'g' represents the physical quantity acceleration.
so it will have same dimensions as that of acceleration.
》after that we will go to its formula;
g = GM/r²
》Now for calculation kindly see the attached image!
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New G' will be 4 times of G.
☆Note:
- here is a catch in the question, they said by changing the unit length , means we'd here totally changed the physical quantity which was taken as 1 initially.
- so the word "unit" is important here.
- That's why the G has changed.
- otherwise, if the question simply said,if by changing the length and mass of the system, then there will be no change in G.
- As G is universal constant ,its independent of mass and length of system.
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