A planet’s radius is reduced by 5%, with its mass unchanged. What is

1.	A planet’s radius is reduced by 5%, with its mass unchanged. What is the percentage change in ‘g’?
Answer» We know that g ∝ \(\frac {1}{R^2}\) So, \(\frac {Δg}{g}\) = – 2 \(\frac {Δg}{R}\) ⇒ \(\frac {Δg}{g}\) = – 2(5%) = – 10%

A planet’s radius is reduced by 5%, with its mass unchanged. What is the percentage change in ‘g’?

Answer»

We know that g ∝ \(\frac {1}{R^2}\)

So, \(\frac {Δg}{g}\) = – 2 \(\frac {Δg}{R}\)

⇒ \(\frac {Δg}{g}\) = – 2(5%)

= – 10%

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A planet’s radius is reduced by 5%, with its mass unchanged. What is the percentage change in ‘g’?

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