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The simplified formula gh = g(1 - 2h/R) is valid only when ______.

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Question

The simplified formula gh = g(1 - 2h/R) is valid only when ______.

Options

  • h is very large compared to R

  • h is much smaller than R (h << R)

  • h equals R

  • h is zero

MCQ
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Solution

The simplified formula gh = g(1 - 2h/R) is valid only when h is much smaller than R (h << R).

Explanation:

The simplified formula uses the Binomial Theorem approximation, which works only when h is much smaller than Earth's radius (h << R).

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