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JEE Main202324 Jan 2023Evening ShiftPhysicsGravitationActual

Given below are two statements: Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface. Statement II: Acceleration due to earth's gravity is same at a height ' h ' and depth ' d ' from earth's surface, if h = d . In the light of above statements, choose the most appropriate answer form the options given below

Options

  1. AStatement I is incorrect but statement II is correct
  2. BBoth Statement I and Statement II are incorrect
  3. CStatement I is correct but statement II is incorrect
  4. DBoth Statement I and II are correct

Correct answer

C. Statement I is correct but statement II is incorrect

Step-by-step solution

At any height, g ' = g 1 - 2 h R [Given: h ≪ R ] and at any depth, g ' = g 1 - d R Clearly, g ' decreases in both cases. But if h = d , then value of g ' will not be the same. Therefore, statement I is correct but statement II is incorrect.

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