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Gravitation — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsGravitation2 Marks
Question
A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in figure $(11-E_3).$ The point $A$ is the centre of the plane section of the first part and $B$ is the centre of the plane section of the second part. Show that the gravitational field at $A$ due to the first part is equal in magnitude to the gravitational field at $B$ due to the second part.
✓

Answer

We know in the thin spherical shell of uniform density has gravitational field at its internal point is zero.
At $A$ and $B$ point, field is equal and opposite and cancel each other.
so Net field is zero.
Hence, $E_A = E_B$​​​​​​​

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