A planet takes 200 days to complete one revol | vedclass

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Question

$ \mathrm{T}^2 \propto \mathrm{r}^3 $

$ \frac{\mathrm{T}_1^2}{\mathrm{r}_1^3}=\frac{\mathrm{T}_2^2}{\mathrm{r}_2^3} $

$ \frac{(200)^2}{\mathrm{r

Vedclass · Accepted Answer

$25$

Vedclass · Answer

$ \mathrm{T}^2 \propto \mathrm{r}^3 $

$ \frac{\mathrm{T}_1^2}{\mathrm{r}_1^3}=\frac{\mathrm{T}_2^2}{\mathrm{r}_2^3} $

$ \frac{(200)^2}{\mathrm{r}^3}=\frac{\mathrm{T}_2^2}{\left(\frac{\mathrm{r}}{4}ight)^3} $

$ \frac{200 	imes 200}{4 	imes 4 	imes 4}=\mathrm{T}_2^2 $

$ \mathrm{~T}_2=\frac{200}{4 	imes 2} $

$ \mathrm{~T}_2=25 	ext { days }$

A planet takes $200$ days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the original distance, how many days will it take to complete one revolution

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