Question

A circle is cut into two pieces along a chord. The perimeter of the resulting pieces combined is 5 times more than the original circle. Statement I : Radius of the circle. Statement II : Length of the major arc Which of these statements is NECESSARY to calculate the ratio of the length of the chord to the radius of the circle ?"

Answer 1

After cutting the shell into two pieces, let I

1

be the gravitational field at P due to upper part. Since gravitational field at any point inside the spherical shell is zero, thus field(I

2

) at P due to lower part must be equal in magnitude and opposite in direction to I

1

.