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KCET2017PhysicsDual Nature of Matter

The value of acceleration due to gravity at adepth of ( 1600 ~km ) is equal to: [Radius of earth ( =6400 ~km ) ]

Options

  1. A( 9.8 ~ms ⁻² )
  2. B( 4.9 ~ms ⁻² )
  3. C( 19.6 ~ms ⁻² )
  4. D( 7.35 ~ms ⁻² )

Correct answer

D. ( 7.35 ~ms ⁻² )

Step-by-step solution

Acceleration due to gravity at a depth ( d ) and radius ( R ) isgiven as [ array l g=g [1- d R ]=g (1- 1600 6400 )=g (1- 1 4 )=g 3 4 g=9.8 3 4 =7.35 m_ S ⁻² array ] Therefore, the acceleration due to gravity at a depth of ( 1600 ~km ) is equal to ( 7.35 ~ms ⁻² )

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