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A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in figure (11−E3).

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प्रश्न

A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in the following figure. 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.

योग
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उत्तर

We know that in a thin spherical shell of uniform density, the gravitational field at its internal point is zero. So, at points A and B, the gravitational fields are equal and opposite and, thus, cancel each other. So the net field is zero.

Hence, EA = EB

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अध्याय 11: Gravitation - Exercise [पृष्ठ २२६]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 11 Gravitation
Exercise | Q 15 | पृष्ठ २२६

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