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Q.

The gravitational potential changes uniformly from −20 J kg−1 to − 40 J kg−1 as one moves along x-axis from x=−1 m to x=+1 m. Then select the correct statement(s) about gravitational field intensity at origin

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a

The gravitational field intensity at x=0  must be equal to 10 N kg−1

b

The gravitational field intensity at x=0  may be equal to 10 N kg−1

c

The gravitational field intensity at x=0  may be greater than 10 N kg−1

d

The gravitational field intensity at x=0  must be less than 10 N kg−1

answer is Ŋ.

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Detailed Solution

E=−dVdr=--40--201--1=10NkgEquipotential surfaces need not be parallel to YZ planeThe direction of potential change  with direction of movement of person. So it can be greater.
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