Question

A spherical shell is cut into two pieces along a chord as shown in the figure. P is a point on the plane of the chord. The gravitational field at P due to the upper part is$I _ { 2 }$What is the relation between them

• A. $I _ { 1 } > I _ { 2 }$
• B. $I _ { 1 } < I _ { 2 }$
• C. $I _ { 1 } = I _ { 2 }$
• D. No definite relation

Answer 1

Answer: (C)

$I _ { 1 } = I _ { 2 }$

Answer 2

Intensity at P due to upper part $= I _ { 1 }$ and Intensity at P due to lower part

Net Intensity at $\overrightarrow { I _ { 1 } } + \overrightarrow { I _ { 2 } } = 0$

$\therefore \overrightarrow { I _ { 1 } } = - \overrightarrow { I _ { 2 } }$