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The gravitational potential changes uniformly from $- 20 J/kg to - 40 J/kg$ as one moves along X-axis from $x = - 1 m to x = + 1 m$ . Mark the correct statement about gravitational field intensity of origin.

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The gravitational field intensity at

x = 0

must be equal to

10 N/kg

The gravitational field intensity at

x = 0

may be equal to

10 N/kg

The gravitational field intensity at

x = 0

may be greater than

10 N/kg

The gravitational field intensity at

x = 0

must not be less than

10 N/kg

answer is D, B, C.

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Detailed Solution

E = - \frac{dv}{dr} = \frac{20}{2} = 10 N/kg

minimum value $10 N/kg$

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The gravitational potential changes uniformly from −20 J/kg to−40 J/kg as one moves along X-axis from x=−1 m to x=+1 m . Mark the correct statement about gravitational field intensity of origin.

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The gravitational potential changes uniformly from $- 20 J/kg to - 40 J/kg$ as one moves along X-axis from $x = - 1 m to x = + 1 m$ . Mark the correct statement about gravitational field intensity of origin.