Let 
be the acceleration due to gravity at earth’s surface and 
be the rotational kinetic energy of the earth. Suppose the earth’s radius decreases by 2% keeping all other quantities same, then
a)
decreases by 2% and 
decreases by 4%
b)
decreases by 4% and 
increases by 2%
c)
increases by 4% and 
increases by 4%
d)
decreases by 4% and 
increases by 4%
Let be the acceleration due to gravity at earth’s surface and be the rotational kinetic energy of the earth. Suppose the earth’s radius decreases by 2% keeping all other quantities same, then
a)
decreases by 2% and decreases by 4%
b)
decreases by 4% and increases by 2%
c)
increases by 4% and increases by 4%
d)
decreases by 4% and increases by 4%
Question ID - 54208 | SaraNextGen Top Answer
Let be the acceleration due to gravity at earth’s surface and be the rotational kinetic energy of the earth. Suppose the earth’s radius decreases by 2% keeping all other quantities same, then
a)
decreases by 2% and decreases by 4%
b)
decreases by 4% and increases by 2%
c)
increases by 4% and increases by 4%
d)
decreases by 4% and increases by 4%
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Let |
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b) |
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c) |
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d) |
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(c)
If mass of the earth and its angular momentum remains constant then
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and 
and 
if radius of earth decreases by 2% then 
and 
both increases by 4%