In a gravitational field, the gravitational potential is given by, V = x K ( J / kg ) . The gravitational field intensity at point ( 2 , 0 , 3 ) m is:

Gravitational field intensity = ∂ x − ∂ V i ^ + ∂ y − ∂ V j ^ + ∂ x − ∂ V k where V is gravitational potential ⇒ Gravitational field intensity = ∂ x − ∂ [ x − K ] = x 2 − K i ^ at ( 2 , 0 , 3 ) E G = 2 2 − K = 4 − K i ^

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PhysicsGravitationField & ForceHard2 minPYQ_2022

PhysicsHardsingle choice

In a gravitational field, the gravitational potential is given by, $V = \frac{K}{x} (J / kg)$ . The gravitational field intensity at point $(2, 0, 3) m$ is:

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Solution:

Gravitational field intensity $= \frac{- \partial V}{\partial x} \hat{i} + \frac{- \partial V}{\partial y} \hat{j} + \frac{- \partial V}{\partial x} k$ where V is gravitational potential $\Rightarrow$ Gravitational field intensity $= \frac{- \partial}{\partial x} [\frac{- K}{x}] = \frac{- K}{x ^{2}} \hat{i}$ at $(2, 0, 3)$ $E_{G} = \frac{- K}{2 ^{2}} = \frac{- K}{4} \hat{i}$

Stream:NEETSubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: PYQ_2022

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