1.

Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2 % keeping all other quantities same, then

Answer»

g decreases by2% and K decreases by 4% .
g decreases by 4% and K decreases by 2% .
g increases by 4% and K increases by 4%
g decreasesby 4% and K increases by 4%

Solution :`implies` According to EQUATIONS `g = (GM)/r^2 and K=1/2 L^2/I`
`g prop 1/R^2 and K prop 1/R^2 "" ( :. I =2/5 MR^2)`


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