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Gravitation
Suppose universal gravitational constant starts to decrease, then
a)length of year will increase b)kinetic energy of earth will increase c)earth will follow spiral path d)all the above
jeemain
physics
class11
unit6
gravitation
q99
medium
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asked
Aug 30, 2013
by
meena.p
retagged
Jul 10, 2014
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1 Answer
$T^2= \large\frac{4 \pi ^2}{GM}$$R^3$
$\therefore$ Time period will increase as G decreases.
Kinetic energy $=\large\frac{GMm}{2R}$
Kinetic energy decreases as G decreases
Hence a is the correct answer.
answered
Aug 30, 2013
by
meena.p
edited
Jul 3, 2014
by
lmohan717
T2 = 4R3π2/GM from kepler's law. Thus, T increases with decrease in G, thereby increasing the length of the year.
KE of earth = (1/2)MR2W2 = 2π2MR2/T2. From kepler's law, R3 is proportional to T2 AND hence KE is inversely proportional to T2/3. As G decreases T increases and increase in T decreases the KE.
The radius of the path around the sun is proportional to T3/2. Thus if G decreases, T increases and hence R increases and earth will follow a spiral path
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