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Q.

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%
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