A planet sweeps areas A and 2A during a small time intervals ${Δt}_{1}$ and ${Δt}_{2}$ respectaively. Find $\frac{{Δt}_{1}}{{Δt}_{2}}$

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answer is 0.5.

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Detailed Solution

We know that $\frac{dA}{dt} = constant$

$\frac{{dA}_{1}}{{dt}_{1}} = \frac{{dA}_{2}}{{dt}_{2}}; \frac{{dt}_{1}}{{dt}_{2}} = \frac{{dA}_{1}}{{dA}_{2}}$

$= \frac{A}{2 A} = \frac{1}{2} = 0.5$

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