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CBSE Class 9 Answered

If the radius of  Earth was to be increased by a factor of 3. By what factor would its density have to be changed to keep the value of  'g' the same.
Asked by acv27joy | 20 Apr, 2018, 07:50: PM
answered-by-expert Expert Answer
acceleration due to gravity g is given by
 
G, M, R, ρ and V are Gravitational constant, mass of earth, radius of earth, density of earth and volume of earth respectively.
 
Hence if radius R increases by factor of 3, then density ρ should decrease by a factor of 1/3
Answered by Thiyagarajan K | 21 Apr, 2018, 01:03: PM
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