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Physics · GRAVITATION

हिन्दी

Consider the following statements regarding the acceleration due to gravity of Earth: (A) At the centre of the Earth, the acceleration due to gravity is zero. (B) For a height \( h \ll R_E \), the acceleration due to gravity is given by \( g(h) \approx g(1 - 2h/R_E) \). (C) The acceleration due to gravity increases linearly as one goes deeper into the Earth. (D) The value of \( g \) is maximum at the surface of the Earth. Which of the above statements are correct?

  1. (A) and (B) only
  2. (B) and (C) only
  3. (A), (C) and (D) only
  4. (A), (B) and (D) only

Correct answer · Option 4

(A), (B) and (D) only

Explanation

\( g(d) = g(1 - d/R_E) \), so \( g \) decreases linearly with depth and is zero at the centre. Thus (A), (B), and (D) are correct, while (C) is incorrect.
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