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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation

A thin spherical shell having uniform density is cut into two parts by a plane and maintained separated as shown in the figure. Point A is the centre of the plane section of the first part, while point B is the centre of the plane section of the second part. If E_A is the magnitude of the gravitational field at A due to the first part and E_B is the magnitude of the gravitational field at B due to the second part, wh

Options

  1. AE_A = E_B
  2. BE_A > E_B
  3. CE_A < E_B
  4. DE_A = 2E_B

Correct answer

A. E_A = E_B

Step-by-step solution

When the two parts are joined together, they form a complete uniform thin spherical shell, and the points A and B coincide at a single point inside the shell. The gravitational field at any point inside a uniform thin spherical shell is zero. By the principle of superposition, the total gravitational field at this common point is the vector sum of the fields due to the first part and the second part. E _A + E _B = 0 E _A = - E _B Taking the magnitude on both sides, we get | E _A| = | E _B| . Therefore, E_A = E_B .

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