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Acceleration Due to Gravity

The value of ...

Question

The value of 'g' at a particular point is $9.8 m / s^{2}$ . Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. What will be the value of 'g' at the same point?

A

9.8 m/s²

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B

4.6 m/s²

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C

3.1 m/s²

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D

19.6 m/s²

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Solution

The correct option is A
9.8 m/s²

$g = \frac{G M}{r 2}$

Since M and r are constant, so $g = 9.8 m / s^{2}$

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