Magnitude of gravitational force acting on each of a pair of particles is given by F=Gm1M2r2 where r is the seperation between the particles. If the errors in measuring m1, m2 and r are 1%, 0.5% and 1% respectively, Then maximum possible error in F is
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a
3.5%
b
2.5%
c
3%
d
4.5%
answer is A.
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Detailed Solution
F=G.m1m2r-2 ∴∆FFmax=∆m1m1+∆m2m2+2∆rr=1%+0.5%+2 x 1%=3.5%