Mass M is divided into two parts xM and (1 - x)M. For a given separation, the value of x for which the gravitational attraction between the two pieces becomes maximum is
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a
12
b
35
c
1
d
2
answer is A.
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Detailed Solution
F∝xm×(1−x)m=xm2(1−x)For maximum force dFdx=0⇒dFdx=m2−2xm2=0⇒x=1/2